Optical sheets and methods for manufacturing optical sheets

Abstract

[Problem] To increase the brightness in the direction of a visual recognition display device. [Solution] The display device 1 includes: a light-emitting substrate 10, having a semiconductor layer 11 divided into unit regions 10a, and a light-emitting portion 13 disposed in a plurality of unit regions 10a; and an optical sheet 20. The optical sheet 20 has a plurality of unit lenses 21. The plurality of unit regions 10a are arranged in a first direction and a second direction. w / p is less than 0.025, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (1), r / p is 0.525 or more and less than 1.5 and satisfies equation (2), r / p is 0.2 or more and less than 0.525 and satisfies equation (3), r / p is 0.525 or more and less than 0.725 and satisfies equation (4), and r / p is 0.725 or more and less than 1.5 and satisfies equation (5).

Description

Technical Field

[0001] This disclosure relates to a display device and a method for manufacturing the display device. Prior Technology

[0002] In recent years, display devices equipped with a plurality of light-emitting elements, particularly LED-equipped display devices, are known as LED displays. In particular, display devices that directly use semiconductors with a plurality of tiny light-emitting diodes (LEDs) and wiring as the light-emitting substrate have been developed; these are known as microLED displays. MicroLED displays have attracted attention due to their small size, lightweight, and thin profile. Furthermore, organic EL (OLED) displays equipped with organic EL elements are known.

[0003] Furthermore, in the aforementioned display devices, particularly micro-LED displays, the light emitted from the light-emitting diode is diffused, leading to inefficient light utilization. To address this issue, for example, Patent Document 1 discloses a micro-LED display that incorporates a linear array lens on the side from which light is emitted, thereby focusing the light in a specific direction, such as towards the front. By focusing the light in this specific direction, the light emitted from the LED can be utilized efficiently. Previous technical documents Patent documents

[0004] Patent Document 1: Japanese Patent Application Publication No. 2019-197133 Summary of the Invention

[0005] In display devices, the brightness in the direction intended for user visual identification is required to be increased to a certain extent. To efficiently utilize light while increasing brightness, particularly in the direction intended for user visual identification, it is sometimes necessary to focus the light in that direction and increase the brightness there. Conversely, it is also necessary to consider situations where the user visually identifies the display device from a direction other than that direction, and sometimes the brightness in that direction is also required to be increased to a certain extent. For example, in the case of using a display device in a head-up display (HUD), particularly a HUD that projects images onto the windshield of a car, it is sometimes necessary to increase the brightness in that direction as well as the brightness in directions other than that direction.

[0006] The present invention was made with regard to such a viewpoint, and its purpose is to set the brightness in the direction of the visual recognition display device to be larger.

[0007] The first aspect disclosed herein is a display device comprising: a light-emitting substrate, a semiconductor layer having a plurality of unit regions, and a light-emitting portion disposed in the plurality of unit regions; and Optical sheets, arranged facing the aforementioned light-emitting substrate, The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is less than 0.025, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (1); r / p is 0.525 or more and less than 1.5 and satisfies the following equation (2); r / p is 0.2 or more and less than 0.525 and satisfies the following equation (3); r / p is 0.525 or more and less than 0.725 and satisfies the following equation (4); and r / p is 0.725 or more and less than 1.5 and satisfies the following equation (5). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.025 or more and less than 0.075, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (6); r / p is 0.525 or more and less than 1.5 and satisfies the following equation (7); r / p is 0.2 or more and less than 0.525 and satisfies the following equation (8); r / p is 0.525 or more and less than 0.725 and satisfies the following equation (9); r / p is 0.725 or more and less than 1.5 and satisfies the following equation (10). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.075 or more and less than 0.15, and at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies equation (11), r / p is 0.375 or more and less than 1.5 and satisfies equation (12), r / p is 0.2 or more and less than 0.725 and satisfies equation (13), and r / p is 0.725 or more and less than 1.5 and satisfies equation (14). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.15 or more and less than 0.25, and at least one of the following is true: r / p is 0.2 or more and less than 0.725 and satisfies the following equation (15), r / p is 0.725 or more and less than 1.5 and satisfies the following equation (16), and r / p is 0.2 or more and less than 1.5 and satisfies the following equation (17). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.25 or more and less than 0.35, and at least one of the following is true: r / p is 0.25 or more and less than 0.975 and satisfies the following equation (18), and r / p is 0.975 or more and less than 1.5 and satisfies the following equation (19). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.35 or more and less than 0.45, and r / p is 0.3 or more and less than 1.5 and satisfies the following equation (20). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.45 or more and less than 0.55, and r / p is 0.4 or more and less than 1.5 and satisfies the following equation (21). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.55 or more and less than 0.65, and r / p is 0.45 or more and less than 1.5 and satisfies the following equation (22). [Mathematical Expression 1] 1.18×r / p-0.29≦d / p≦1.36×r / p-0.05…Equation (1) 1.18×r / p-0.29≦d / p≦2.08×r / p-0.15…Equation (2) 2.43×r / p+0.05≦d / p≦4.64×r / p-0.3…Equation (3) 4.5×r / p-0.85≦d / p≦4.64×r / p-0.3…Equation (4) 4.5×r / p-0.85≦d / p≦1.2×r / p+2.46…Equation (5) 1.18×r / p-0.29≦d / p≦1.36×r / p…Equation (6) 1.18×r / p-0.29≦d / p≦2.05×r / p-0.03…Equation (7) 2.57×r / p-0.01≦d / p≦4.65×r / p-0.3…Equation (8) 4.67×r / p-0.98≦d / p≦4.65×r / p-0.3…Equation (9) 4.67×r / p-0.98≦d / p≦1.2×r / p+2.46…Equation (10) 1.18×r / p-0.29≦d / p≦4×r / p-0.1…Equation (11) 1.18×r / p-0.29≦d / p≦2.17×r / p-0.19…Equation (12) 4.79×r / p-1.09≦d / p≦5.07×r / p-0.58…Equation (13) 4.79×r / p-1.09≦d / p≦1.8×r / p+1.94…Equation (14) 1.18×r / p-0.29≦d / p≦4.84×r / p-0.45…Equation (15) 1.18×r / p-0.29≦d / p≦1.69×r / p+0.6…Equation (16) 5.6×r / p-1.84≦d / p≦1.8×r / p+1.94…Equation (17) 1.22×r / p-0.33≦d / p≦4.55×r / p-0.42…Equation (18) 1.22×r / p-0.33≦d / p≦1.04×r / p+1.78…Equation (19) 1.26×r / p-0.37≦d / p≦5.56×r / p-1.01…Equation (20) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (21) 1.38×r / p-0.45≦d / p≦5.8×r / p-1.48…Equation (22)

[0008] The second aspect disclosed herein is a display device comprising: a light-emitting substrate, a semiconductor layer having a plurality of unit regions, and a light-emitting portion disposed in the plurality of unit regions; and Optical sheets, arranged facing the aforementioned light-emitting substrate, The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is less than 0.025, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (24). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.025 or more and less than 0.15, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (26). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.15 or more and less than 0.25, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (28). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.25 or more and less than 0.35, and at least one of the following is true: r / p is 0.25 or more and less than 0.425 and satisfies the following equation (29), and r / p is 0.425 or more and less than 1.5 and satisfies the following equation (30). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.35 or more and less than 0.45, and at least one of the following is true: r / p is 0.3 or more and less than 0.525 and satisfies the following equation (31), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (32). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.45 or more and less than 0.55, and at least one of the following is true: r / p is 0.4 or more and less than 0.625 and satisfies the following equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (34). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.55 or more and less than 0.65, and at least one of the following is true: r / p is 0.45 or more and less than 0.625 and satisfies the following equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (36). [Mathematical Expression 2] 1.18×r / p-0.29≦d / p≦1×r / p-0.02…Equation (23) 1.18×r / p-0.29≦d / p≦1.33×r / p+0.15…Equation (24) 1.18×r / p-0.29≦d / p≦1.14×r / p-0.04…Equation (25) 1.18×r / p-0.29≦d / p≦1.3×r / p+0.18…Equation (26) 1.18×r / p-0.29≦d / p≦-0.29×r / p+0.73… Equation (27) 1.18×r / p-0.29≦d / p≦1.29×r / p+0.28…Equation (28) 1.22×r / p-0.33≦d / p≦4.6×r / p-0.52…Equation (29) 1.22×r / p-0.33≦d / p≦1.23×r / p+0.38…Equation (30) 1.26×r / p-0.37≦d / p≦5.4×r / p-0.96…Equation (31) 1.26×r / p-0.37≦d / p≦0.77×r / p+1.08…Equation (32) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (33) 1.28×r / p-0.39≦d / p≦0.4×r / p+1.77…Equation (34) 1.38×r / p-0.45≦d / p≦7.6×r / p-2.44…Equation (35) 1.38×r / p-0.45≦d / p≦0.26×r / p+2.29… Equation (36)

[0009] The third aspect disclosed herein is a display device comprising: a light-emitting substrate, a semiconductor layer having a plurality of unit regions, and a light-emitting portion disposed in the plurality of unit regions; and Optical sheets, arranged facing the aforementioned light-emitting substrate, The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.01 or more and less than 0.05, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (37), r / p is 0.525 or more and less than 0.975 and satisfies the following equation (38), r / p is 0.975 or more and less than 1.5 and satisfies the following equation (39), r / p is 0.2 or more and less than 0.525 and satisfies the following equation (40), and r / p is 0.525 or more and less than 0.975 and satisfies the following equation (41). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.05 or more and less than 0.1, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (42); r / p is 0.525 or more and less than 0.975 and satisfies the following equation (43); r / p is 0.975 or more and less than 1.5 and satisfies the following equation (44); r / p is 0.2 or more and less than 0.525 and satisfies the following equation (45); and r / p is 0.525 or more and less than 0.975 and satisfies the following equation (46). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.1 or more and less than 0.2, and at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies the following equation (47); r / p is 0.375 or more and less than 0.975 and satisfies the following equation (48); r / p is 0.975 or more and less than 1.5 and satisfies the following equation (49); and r / p is 0.375 or more and less than 0.975 and satisfies the following equation (50). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.2 or more and less than 0.3, and at least one of the following is true: r / p is 0.25 or more and less than 0.725 and satisfies the following equation (51), r / p is 0.725 or more and less than 0.975 and satisfies the following equation (52), r / p is 0.975 or more and less than 1.5 and satisfies the following equation (53), and r / p is 0.725 or more and less than 0.975 and satisfies the following equation (54). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.3 or more and less than 0.4, and at least one of the following is true: r / p is 0.35 or more and less than 0.975 and satisfies the following equation (55), and r / p is 0.975 or more and less than 1.5 and satisfies the following equation (56). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.4 or more and less than 0.5, and at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the following equation (57), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (58). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.5 or more and less than 0.6, and at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (60). [Mathematical Expression 3] 0.21×r / p+0.01≦d / p≦1×r / p-0.02…Equation (37) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (38) 1.09×r / p-0.18≦d / p≦1.53×r / p+0.3…Equation (39) 2.43×r / p+0.05≦d / p≦3.57×r / p-0.21…Equation (40) 4.57×r / p-0.89≦d / p≦4×r / p-0.3…Equation (41) 0.21×r / p+0.01≦d / p≦0.79×r / p+0.11…Equation (42) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (43) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.27… Equation (44) 2.57×r / p-0.01≦d / p≦3.43×r / p-0.17…Equation (45) 4.77×r / p-1.04≦d / p≦4.13×r / p-0.41…Equation (46) 0.6×r / p-0.09≦d / p≦4×r / p-0.4…Equation (47) 1.53×r / p-0.56≦d / p≦2.27×r / p-0.35… Equation (48) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.28…Equation (49) 4.79×r / p-1.09≦d / p≦4.41×r / p-0.64…Equation (50) 1.03×r / p-0.26≦d / p≦4.39×r / p-0.64…Equation (51) 1.4×r / p-0.45≦d / p≦0.4×r / p+1.58…Equation (52) 1.15×r / p-0.24≦d / p≦1.49×r / p+0.54… Equation (53) 5.6×r / p-1.84≦d / p≦4×r / p-0.3…Equation (54) 1.45×r / p-0.5≦d / p≦4.45×r / p-0.77…Equation (55) 1.16×r / p-0.25≦d / p≦0.35×r / p+2.51…Equation (56) 1.77×r / p-0.68≦d / p≦5.43×r / p-1.43…Equation (57) 1.13×r / p-0.22≦d / p≦3.23×r / p+0.13… Equation (58) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (59) 1.27×r / p-0.33≦d / p≦3.3×r / p-0.06…Equation (60)

[0010] The fourth aspect disclosed herein is a display device comprising: a light-emitting substrate having a semiconductor layer divided into a plurality of unit regions, and light-emitting portions disposed in the aforementioned plurality of unit regions; and Optical sheet, disposed opposite to the aforementioned light-emitting substrate, The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The spacing between the aforementioned light-emitting portions in the first direction is p, the width of the aforementioned light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting portion and the aforementioned unit lens is d, w / p is 0.01 or more and less than 0.05, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following formula (61), and r / p is 0.525 or more and less than 1.5 and satisfies the following formula (62). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.05 or more and less than 0.1, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (63), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (64). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.1 or more and less than 0.2, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (65), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (66). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.2 or more and less than 0.3, and at least one of the following is true: r / p is 0.25 or more and less than 0.525 and satisfies the following equation (67), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (68). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.3 or more and less than 0.4, and at least one of the following is true: r / p is 0.35 or more and less than 0.675 and satisfies the following equation (69), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (70). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.4 or more and less than 0.5, and at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the following equation (71), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (72). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.5 or more and less than 0.6, and at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (74). [Mathematical Expression 4] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (61) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.13… Equation (62) 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (63) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (64) 0.21×r / p+0.01≦d / p≦0.71×r / p+0.05…Equation (65) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (66) 0.29×r / p-0.05≦d / p≦-0.23×r / p+0.62…Equation (67) 1.2×r / p-0.3≦d / p≦1.2×r / p+0.21…Equation (68) 1.43×r / p-0.49≦d / p≦1.07×r / p+0.45… Equation (69) 1.19×r / p-0.28≦d / p≦1×r / p+0.5…Equation (70) 1.77×r / p-0.68≦d / p≦2.86×r / p-0.23… Equation (71) 1.15×r / p-0.23≦d / p≦0.64×r / p+1.13…Equation (72) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (73) 1.27×r / p-0.33≦d / p≦0.35×r / p+1.78… Equation (74)

[0011] The fifth state disclosed herein is that, in the display device of the first to fourth states described above, when viewed from the normal direction toward the surface of the light-emitting substrate, one of the aforementioned unit lenses can also correspond to one of the unit region second direction column formed by arranging the aforementioned plurality of unit regions in the aforementioned second direction.

[0012] The sixth state disclosed herein is that, in the display device of the fifth state described above, when viewed from the normal direction toward the surface of the light-emitting substrate, the center of the aforementioned unit lens in the aforementioned first direction may also deviate from the center of the aforementioned light-emitting portion in the aforementioned first direction of the aforementioned unit region forming the corresponding unit region second direction row.

[0013] The seventh state-sample disclosed herein refers to a display device in which the aforementioned optical sheet may also have a first surface facing the aforementioned light-emitting substrate and a second surface located on the opposite side of the aforementioned first surface. The aforementioned display device further includes a light-biasing layer, which faces the aforementioned second surface of the aforementioned optical sheet and biases the light from the aforementioned optical sheet so that the direction of travel changes when viewed from the aforementioned second direction.

[0014] The eighth state disclosed herein refers to a display device in which the aforementioned optical sheet may also have a first surface facing the aforementioned light-emitting substrate and a second surface located on the opposite side of the aforementioned first surface. The aforementioned display device further includes a light angle adjustment layer, which is located on the aforementioned second side of the aforementioned optical sheet and adjusts the angle between the direction of light travel from the aforementioned optical sheet and the normal direction toward the surface of the aforementioned light-emitting substrate.

[0015] The ninth state disclosed herein is in the display device of the first to eighth states mentioned above, in which the light-emitting substrate may also include a first light-emitting part and a second light-emitting part as the light-emitting part, and the second light-emitting part emits light of a different wavelength than the first light-emitting part.

[0016] The 10th state sample disclosed herein is the minimum brightness m in the display device of the first state sample or the third state sample, within the range of -5° or more and +5° or less relative to the focusing direction of the aforementioned optical sheet. Alternatively, it may be 50% or more of the maximum brightness M in the range of -5° or more and +5° or less relative to the focusing direction of the aforementioned optical sheet.

[0017] The 11th state sample disclosed herein is the minimum brightness m2 in the display device of the above-mentioned second state sample or the above-mentioned fourth state sample in the range of -10° or more and +10° or less relative to the focusing direction of the aforementioned optical sheet, or it can be more than 50% of the maximum brightness M2 in the range of -10° or more and +10° or less relative to the focusing direction of the aforementioned optical sheet.

[0018] The 12th aspect disclosed herein is a method for manufacturing a display device, the display device comprising: a light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and a light-emitting portion disposed in the plurality of unit regions; and an optical sheet disposed facing the light-emitting substrate. The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The aforementioned display device manufacturing method comprises a method for determining the spacing of the light-emitting portions in the first direction as p, the width of the light-emitting portions in the first direction as w, the radius of curvature of the lens surface of the unit lens as r, and the distance between the light-emitting portions and the unit lens as d, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted to satisfy at least one of the following: r / p is 0.2 or more and less than 0.525 and satisfies equation (1); r / p is 0.525 or more and less than 1.5 and satisfies equation (2); r / p is 0.2 or more and less than 0.525 and satisfies equation (3); r / p is 0.525 or more and less than 0.725 and satisfies equation (4); and r / p is 0.725 or more and less than 1.5 and satisfies equation (5). In the aforementioned adjustment steps, when w / p is 0.025 or higher and less than 0.075, the radius of curvature r and distance d are adjusted to satisfy at least one of the following: r / p is 0.2 or higher and less than 0.525 and satisfies equation (6); r / p is 0.525 or higher and less than 1.5 and satisfies equation (7); r / p is 0.2 or higher and less than 0.525 and satisfies equation (8); r / p is 0.525 or higher and less than 0.725 and satisfies equation (9); r / p is 0.725 or higher and less than 1.5 and satisfies equation (10). In the aforementioned adjustment steps, when w / p is 0.075 or higher and less than 0.15, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or higher and less than 0.375 and satisfies equation (11); r / p is 0.375 or higher and less than 1.5 and satisfies equation (12); r / p is 0.2 or higher and less than 0.725 and satisfies equation (13); and r / p is 0.725 or higher and less than 1.5 and satisfies equation (14). In the aforementioned adjustment steps, when w / p is 0.15 or higher and less than 0.25, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or higher and less than 0.725 and satisfies equation (15); r / p is 0.725 or higher and less than 1.5 and satisfies equation (16); and r / p is 0.2 or higher and less than 1.5 and satisfies equation (17). In the aforementioned adjustment steps, when w / p is 0.25 or higher and less than 0.35, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.25 or higher and less than 0.975 and satisfies equation (18), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (19). In the aforementioned adjustment steps, when w / p is greater than or equal to 0.35 and less than 0.45, the radius of curvature r and distance d are adjusted so that r / p is greater than or equal to 0.3 and less than 1.5 and satisfies the following equation (20). In the aforementioned adjustment steps, when w / p is greater than or equal to 0.45 and less than 0.55, the radius of curvature r and distance d are adjusted so that r / p is greater than or equal to 0.4 and less than 1.5 and satisfies the following equation (21). In the aforementioned adjustment steps, when w / p is 0.55 or higher and less than 0.65, the radius of curvature r and distance d are adjusted so that r / p is 0.45 or higher and less than 1.5 and satisfies the following equation (22). [Mathematical Expression 5] 1.18×r / p-0.29≦d / p≦1.36×r / p-0.05…Equation (1) 1.18×r / p-0.29≦d / p≦2.08×r / p-0.15…Equation (2) 2.43×r / p+0.05≦d / p≦4.64×r / p-0.3…Equation (3) 4.5×r / p-0.85≦d / p≦4.64×r / p-0.3…Equation (4) 4.5×r / p-0.85≦d / p≦1.2×r / p+2.46…Equation (5) 1.18×r / p-0.29≦d / p≦1.36×r / p…Equation (6) 1.18×r / p-0.29≦d / p≦2.05×r / p-0.03…Equation (7) 2.57×r / p-0.01≦d / p≦4.65×r / p-0.3…Equation (8) 4.67×r / p-0.98≦d / p≦4.65×r / p-0.3…Equation (9) 4.67×r / p-0.98≦d / p≦1.2×r / p+2.46…Equation (10) 1.18×r / p-0.29≦d / p≦4×r / p-0.1…Equation (11) 1.18×r / p-0.29≦d / p≦2.17×r / p-0.19…Equation (12) 4.79×r / p-1.09≦d / p≦5.07×r / p-0.58…Equation (13) 4.79×r / p-1.09≦d / p≦1.8×r / p+1.94…Equation (14) 1.18×r / p-0.29≦d / p≦4.84×r / p-0.45…Equation (15) 1.18×r / p-0.29≦d / p≦1.69×r / p+0.6…Equation (16) 5.6×r / p-1.84≦d / p≦1.8×r / p+1.94…Equation (17) 1.22×r / p-0.33≦d / p≦4.55×r / p-0.42…Equation (18) 1.22×r / p-0.33≦d / p≦1.04×r / p+1.78…Equation (19) 1.26×r / p-0.37≦d / p≦5.56×r / p-1.01…Equation (20) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (21) 1.38×r / p-0.45≦d / p≦5.8×r / p-1.48…Equation (22)

[0019] The 13th aspect of this disclosure is a method for manufacturing a display device, the display device comprising: a light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions; and an optical sheet disposed facing the light-emitting substrate. The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The aforementioned display device manufacturing method comprises a method for determining the spacing of the light-emitting portions in the first direction as p, the width of the light-emitting portions in the first direction as w, the radius of curvature of the lens surface of the unit lens as r, and the distance between the light-emitting portions and the unit lens as d, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (24). In the aforementioned adjustment steps, when w / p is 0.025 or more and less than 0.15, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or more and less than 0.525 and satisfies equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies equation (26). In the aforementioned adjustment steps, when w / p is 0.15 or higher and less than 0.25, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (27), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (28). In the aforementioned adjustment steps, when w / p is 0.25 or higher and less than 0.35, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.25 or higher and less than 0.425 and satisfies equation (29), and r / p is 0.425 or higher and less than 1.5 and satisfies equation (30). In the aforementioned adjustment steps, when w / p is 0.35 or higher and less than 0.45, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.3 or higher and less than 0.525 and satisfies equation (31), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (32). In the aforementioned adjustment steps, when w / p is 0.45 or higher and less than 0.55, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.4 or higher and less than 0.625 and satisfies equation (33), and r / p is 0.625 or higher and less than 1.5 and satisfies equation (34). In the aforementioned adjustment steps, when w / p is 0.55 or more and less than 0.65, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.45 or more and less than 0.625 and satisfies the following equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (36). [Mathematical Expression 6] 1.18×r / p-0.29≦d / p≦1×r / p-0.02…Equation (23) 1.18×r / p-0.29≦d / p≦1.33×r / p+0.15…Equation (24) 1.18×r / p-0.29≦d / p≦1.14×r / p-0.04…Equation (25) 1.18×r / p-0.29≦d / p≦1.3×r / p+0.18…Equation (26) 1.18×r / p-0.29≦d / p≦-0.29×r / p+0.73… Equation (27) 1.18×r / p-0.29≦d / p≦1.29×r / p+0.28…Equation (28) 1.22×r / p-0.33≦d / p≦4.6×r / p-0.52…Equation (29) 1.22×r / p-0.33≦d / p≦1.23×r / p+0.38…Equation (30) 1.26×r / p-0.37≦d / p≦5.4×r / p-0.96…Equation (31) 1.26×r / p-0.37≦d / p≦0.77×r / p+1.08…Equation (32) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (33) 1.28×r / p-0.39≦d / p≦0.4×r / p+1.77…Equation (34) 1.38×r / p-0.45≦d / p≦7.6×r / p-2.44…Equation (35) 1.38×r / p-0.45≦d / p≦0.26×r / p+2.29… Equation (36)

[0020] The 14th aspect of this disclosure is a method for manufacturing a display device, the display device comprising: a light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and a light-emitting portion disposed in the plurality of unit regions; and an optical sheet disposed facing the light-emitting substrate. The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The aforementioned display device manufacturing method comprises a method for determining the spacing of the light-emitting portions in the first direction as p, the width of the light-emitting portions in the first direction as w, the radius of curvature of the lens surface of the unit lens as r, and the distance between the light-emitting portions and the unit lens as d, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is 0.01 or higher and less than 0.05, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (37); r / p is 0.525 or higher and less than 0.975 and satisfies equation (38); r / p is 0.975 or higher and less than 1.5 and satisfies equation (39); r / p is 0.2 or higher and less than 0.525 and satisfies equation (40); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (41). When w / p is 0.05 or higher and less than 0.1, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (42); r / p is 0.525 or higher and less than 0.975 and satisfies equation (43); r / p is 0.975 or higher and less than 1.5 and satisfies equation (44); r / p is 0.2 or higher and less than 0.525 and satisfies equation (45); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (46). When w / p is 0.1 or higher and less than 0.2, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or higher and less than 0.375 and satisfies equation (47); r / p is 0.375 or higher and less than 0.975 and satisfies equation (48); r / p is 0.975 or higher and less than 1.5 and satisfies equation (49); and r / p is 0.375 or higher and less than 0.975 and satisfies equation (50). When w / p is 0.2 or higher and less than 0.3, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.25 or higher and less than 0.725 and satisfies equation (51); r / p is 0.725 or higher and less than 0.975 and satisfies equation (52); r / p is 0.975 or higher and less than 1.5 and satisfies equation (53); and r / p is 0.725 or higher and less than 0.975 and satisfies equation (54). When w / p is 0.3 or higher and less than 0.4, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.35 or higher and less than 0.975 and satisfies equation (55), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (56). When w / p is 0.4 or higher and less than 0.5, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.4 or higher and less than 0.675 and satisfies equation (57), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (58). When w / p is 0.5 or more and less than 0.6, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (60). [Mathematical Expression 7] 0.21×r / p+0.01≦d / p≦1×r / p-0.02…Equation (37) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (38) 1.09×r / p-0.18≦d / p≦1.53×r / p+0.3…Equation (39) 2.43×r / p+0.05≦d / p≦3.57×r / p-0.21…Equation (40) 4.57×r / p-0.89≦d / p≦4×r / p-0.3…Equation (41) 0.21×r / p+0.01≦d / p≦0.79×r / p+0.11…Equation (42) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (43) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.27… Equation (44) 2.57×r / p-0.01≦d / p≦3.43×r / p-0.17…Equation (45) 4.77×r / p-1.04≦d / p≦4.13×r / p-0.41…Equation (46) 0.6×r / p-0.09≦d / p≦4×r / p-0.4…Equation (47) 1.53×r / p-0.56≦d / p≦2.27×r / p-0.35… Equation (48) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.28…Equation (49) 4.79×r / p-1.09≦d / p≦4.41×r / p-0.64…Equation (50) 1.03×r / p-0.26≦d / p≦4.39×r / p-0.64…Equation (51) 1.4×r / p-0.45≦d / p≦0.4×r / p+1.58…Equation (52) 1.15×r / p-0.24≦d / p≦1.49×r / p+0.54… Equation (53) 5.6×r / p-1.84≦d / p≦4×r / p-0.3…Equation (54) 1.45×r / p-0.5≦d / p≦4.45×r / p-0.77…Equation (55) 1.16×r / p-0.25≦d / p≦0.35×r / p+2.51…Equation (56) 1.77×r / p-0.68≦d / p≦5.43×r / p-1.43…Equation (57) 1.13×r / p-0.22≦d / p≦3.23×r / p+0.13… Equation (58) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (59) 1.27×r / p-0.33≦d / p≦3.3×r / p-0.06…Equation (60)

[0021] The 15th aspect of this disclosure is a method for manufacturing a display device, the display device comprising: a light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions; and an optical sheet disposed facing the light-emitting substrate. The aforementioned optical sheet has a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction. The aforementioned plurality of unit regions are arranged in the aforementioned first direction and the aforementioned second direction. The aforementioned display device manufacturing method comprises a method for determining the spacing of the light-emitting portions in the first direction as p, the width of the light-emitting portions in the first direction as w, the radius of curvature of the lens surface of the unit lens as r, and the distance between the light-emitting portions and the unit lens as d, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is 0.01 or more and less than 0.05, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or more and less than 0.525 and satisfies equation (61), and r / p is 0.525 or more and less than 1.5 and satisfies equation (62). When w / p is 0.05 or higher and less than 0.1, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (63), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (64). When w / p is greater than or equal to 0.1 and less than 0.2, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is greater than or equal to 0.2 and less than 0.525 and satisfies equation (65), and r / p is greater than or equal to 0.525 and less than 1.5 and satisfies equation (66). When w / p is 0.2 or higher and less than 0.3, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.25 or higher and less than 0.525 and satisfies equation (67), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (68). When w / p is 0.3 or higher and less than 0.4, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.35 or higher and less than 0.675 and satisfies equation (69), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (70). When w / p is 0.4 or higher and less than 0.5, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.4 or higher and less than 0.675 and satisfies equation (71), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (72). When w / p is 0.5 or more and less than 0.6, the radius of curvature r and distance d are adjusted such that at least one of the following holds: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (74). [Mathematical Expression 8] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (61) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.13… Equation (62) 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (63) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (64) 0.21×r / p+0.01≦d / p≦0.71×r / p+0.05…Equation (65) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (66) 0.29×r / p-0.05≦d / p≦-0.23×r / p+0.62…Equation (67) 1.2×r / p-0.3≦d / p≦1.2×r / p+0.21…Equation (68) 1.43×r / p-0.49≦d / p≦1.07×r / p+0.45… Equation (69) 1.19×r / p-0.28≦d / p≦1×r / p+0.5…Equation (70) 1.77×r / p-0.68≦d / p≦2.86×r / p-0.23… Equation (71) 1.15×r / p-0.23≦d / p≦0.64×r / p+1.13…Equation (72) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (73) 1.27×r / p-0.33≦d / p≦0.35×r / p+1.78… Equation (74)

[0022] According to this disclosure, the brightness in the direction of the visual recognition display device can be increased. Simple Diagram Explanation

[0023] Figure 1 is an exploded perspective view that schematically shows the various elements of the display device. Figure 2 is a cross-sectional view showing a portion of the light-emitting substrate of the display device. Figure 3 is a magnified plan view of a portion of the light-emitting substrate of the display device. Figure 4 is a cross-sectional view of the display device along line IV-IV of Figure 3. Figure 5 is a diagram showing the display device as viewed from the second direction. Figure 6 is a diagram showing an example of the brightness distribution in a direction perpendicular to the second direction of the display device. Figure 7a is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 7b is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 8 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 9 shows the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 10 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 11 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 12 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 13 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 14 is a diagram showing one example of the light path when light emitted from the light-emitting part of the light-emitting substrate passes through the optical sheet. Figure 15 is a diagram showing one example of the light path when light emitted from the light-emitting part of the light-emitting substrate passes through the optical sheet. Figure 16 is a diagram showing one example of the light path when light emitted from the light-emitting part of the light-emitting substrate passes through the optical sheet. Figure 17a is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17b is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17c is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17d is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17e is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17f is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 17g is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 18a is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 18b is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 18c is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 19 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 20 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 21 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 22 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 23 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 24a is a cross-sectional view of the display device of Modified Example 2, perpendicular to the second direction. Figure 24b is a graph showing the test results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device of Modified Example 2. Figure 25 is a diagram showing one example of a display device being used as a head-up display. Figure 26a is a cross-sectional view of the display device of Modified Example 3, perpendicular to the second direction. Figure 26b is a graph showing the test results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device of Modified Example 3. Figure 27 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 28 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 29 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 30 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 31 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 32 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 33 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 34 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 35 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 36 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 37 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 38 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 39 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Figure 40 is a graph showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction for the display device. Implementation

[0024] Forms used to implement inventions The following description uses reference to the diagrams to illustrate one embodiment. Figures 1 to 5 show one embodiment. The figures shown below are schematic representations. Therefore, the size and shape of each part are appropriately exaggerated for ease of understanding. Furthermore, the embodiment can be modified appropriately without departing from the technical concept. In addition, in the figures shown below, the same symbols are added to the same parts, and some detailed descriptions are omitted. Furthermore, the dimensions and material names of the components described in this specification are only examples of one embodiment and are not limited to this, and can be appropriately selected and used.

[0025] Furthermore, the term "sheet surface (sheet material surface, film material surface)" refers to the surface that is aligned with the planar direction of the sheet-like (sheet material, film material) component when viewed as a whole and in a holistic manner.

[0026] Furthermore, the specific shapes or geometric conditions used in this specification, as well as the degree of such terms such as "parallel," "orthogonal," "same," or the values ​​of lengths or angles, are not interpreted in a strict sense, but rather encompass the range of degrees to which the same function can be expected.

[0027] Figure 1 is an exploded perspective view schematically showing the display device 1 of the present invention. In Figure 1, the sealing layer 40, adhesive layer 50, and substrate layer 60, which will be described later, are omitted. As shown in Figure 1, the display device 1 includes a light-emitting substrate 10 and an optical sheet 20 disposed facing the light-emitting substrate 10. Although not shown in Figure 1, a sealing layer 40, an adhesive layer 50, and a substrate layer 60 are provided between the light-emitting substrate 10 and the optical sheet 20. In the example shown in Figure 1, the optical sheet 20 has a first surface 20a facing the light-emitting substrate 10 and a second surface 20b located on the opposite side of the first surface 20a. The display device 1 of this embodiment is a display device equipped with, for example, an LED, i.e., a so-called LED display. Hereinafter, the case where the display device 1 uses light emitted from one or more light-emitting diodes as a pixel, i.e., a so-called micro-LED display, will be described.

[0028] The light-emitting substrate 10 emits light to form an image. Figure 2 is an enlarged cross-sectional view showing the structure of the light-emitting substrate 10. As shown in Figure 2, the light-emitting substrate 10 has a semiconductor layer 11 and a plurality of light-emitting portions 13 disposed on the semiconductor layer 11. Each light-emitting portion 13 includes an active layer 14 in contact with the semiconductor layer 11 and a second semiconductor layer 15 in contact with the active layer 14. That is, at the locations where the light-emitting portions 13 are disposed on the light-emitting substrate 10, the semiconductor layer 11, the active layer 14, and the second semiconductor layer 15 are sequentially deposited.

[0029] By applying a voltage between semiconductor layer 11 and the second semiconductor layer 15, the active layer 14 can emit light. To apply the voltage between semiconductor layer 11 and the second semiconductor layer 15, electrodes (not shown) are provided in both semiconductor layer 11 and the second semiconductor layer 15, and the circuit formed in semiconductor layer 11 is connected to an external power source. Furthermore, the upper surface of the light-emitting portion 13 is the light-emitting surface 17 that emits light from the active layer 14. In the example shown in FIG2, the surface opposite to the surface of the second semiconductor layer 15 that contacts the active layer 14 is the light-emitting surface 17 that emits light from the active layer 14.

[0030] In this embodiment, the light-emitting substrate 10 includes a first light-emitting portion 13R that emits light of a certain wavelength and a second light-emitting portion 13G that emits light of a different wavelength than the first light-emitting portion 13R, serving as light-emitting portions 13. In the example shown in FIG2, the light-emitting substrate 10 further includes a third light-emitting portion 13B as a light-emitting portion 13, wherein the aforementioned third light-emitting portion 13B emits light of a different wavelength than the first light-emitting portion 13R and the second light-emitting portion 13G. The light-emitting substrate 10 has a plurality of first light-emitting portions 13R, a plurality of second light-emitting portions 13G, and a plurality of third light-emitting portions 13B as a plurality of light-emitting portions 13. The first light-emitting portion 13R, the second light-emitting portion 13G, and the third light-emitting portion 13B are light-emitting diodes.

[0031] Figure 3 is a magnified plan view of a portion of the light-emitting substrate 10 of the display device 1. As shown in Figures 2 and 3, the semiconductor layer 11 is divided into a plurality of unit regions 10a. In the example shown in Figure 3, the unit regions 10a are arranged along a first direction d1 and a second direction d2 that is not parallel to the first direction d1. In the illustrated example, the first direction d1 and the second direction d2 are orthogonal to each other. Also, in the illustrated example, the plurality of unit regions 10a are arranged to contact each other in the first direction d1 and the second direction d2. In Figure 3, one unit region 10a is shown with an additional diagonal line. Light-emitting portions 13 are disposed in the plurality of unit regions 10a. In the illustrated example, light-emitting portions 13 are disposed in all unit regions 10a. One light-emitting portion 13 is disposed in one unit region 10a. Also, in the illustrated example, the light-emitting portion 13 is disposed in the center of the unit region 10a. The light-emitting parts 13 are arranged at the same intervals in the first direction d1 and the second direction d2.

[0032] In the example shown in FIG3, the light-emitting substrate 10 has a first light-emitting portion 13R, a second light-emitting portion 13G, and a third light-emitting portion 13B as light-emitting portions 13. In the example shown in FIG3, the light-emitting substrate 10 has unit region groups 10b, each unit region group 10b including a unit region 10a with the first light-emitting portion 13R disposed thereon, a unit region 10a with the second light-emitting portion 13G disposed thereon, and a unit region 10a with the third light-emitting portion 13B disposed thereon. In the example shown in FIG3, the light-emitting substrate 10 has a plurality of unit region groups 10b arranged in a first direction d1 and a second direction d2. In one unit region group 10b, the unit region 10a with the first light-emitting portion 13R disposed thereon, the unit region 10a with the second light-emitting portion 13G disposed thereon, and the unit region 10a with the third light-emitting portion 13B disposed thereon are arranged in the second direction d2. The unit region group 10b is a pixel region of the display device 1. The light-emitting part 13 arranged in each unit area group 10b is a pixel forming the display device 1.

[0033] In the example shown in Figure 3, the width of the unit region 10a in the direction in which the plurality of unit lenses 21 are arranged (i.e., the first direction d1) is larger than the width of the unit region 10a in the second direction d2 where the unit lenses 21 extend. Furthermore, the width of the light-emitting portion 13 in the first direction d1 is larger than the width of the light-emitting portion 13 in the second direction d2. Although not shown, the width of the unit region 10a in the direction in which the plurality of unit lenses 21 are arranged (i.e., the first direction d1) is smaller than the width of the unit region 10a in the second direction d2 where the unit lenses 21 extend. Also, the width of the light-emitting portion 13 in the first direction d1 can be smaller than the width of the light-emitting portion 13 in the second direction d2.

[0034] Figure 4 is a cross-sectional view of the display device 1 along line IV-IV in Figure 3. As shown in Figures 3 and 4, the spacing of the light-emitting portions 13 in the first direction d1 is set as p. The dashed line marked with symbol C1 shown in Figures 3 and 4 represents the center of the light-emitting portion 13 in the first direction d1. The spacing p of the light-emitting portions 13 is the distance from the center C1 of the light-emitting portion 13 in the first direction d1 of a certain unit region 10a to the center C1 of the light-emitting portion 13 in the first direction d1 of the unit region 10a adjacent to that unit region 10a in the first direction d1. The spacing p of the light-emitting portions 13 is, for example, 10 μm or more and 2000 μm or less. The spacing p of the light-emitting portions 13 may also be 10 μm or more and 500 μm or less. Furthermore, the length of the unit region 10a along the first direction d1 and the second direction d2 is, for example, 10 μm or more and 2000 μm or less. In the examples shown in Figures 3 and 4, the length of the unit region 10a along the first direction d1 is equal to the spacing p of the light-emitting portions 13. As shown in Figures 3 and 4, the width of the light-emitting portion 13 along the first direction d1 is set as w. The width w of the light-emitting portion 13 is, in other words, the length of the light-emitting portion 13 along the first direction d1. The width w of the light-emitting portion 13 is, for example, 1 μm or more and 1200 μm or less. The length of the light-emitting portion 13 along the second direction d2 is, for example, 1 μm or more and 1200 μm or less.

[0035] The optical sheet 20 alters the direction of light emitted from the light-emitting substrate 10. Specifically, the illustrated optical sheet 20 focuses the light emitted from the light-emitting substrate 10 in a specific direction perpendicular to the second direction d2. In other words, the optical sheet 20 changes the direction of light emitted from the light-emitting substrate 10 so that, when viewed from the second direction d2, the light appears to be focused in a specific direction. The direction in which the optical sheet 20 focuses the light emitted from the light-emitting substrate 10 is called the focusing direction. The focusing direction is the direction in which the brightness of the light emitted from the light-emitting substrate 10 is greatest when it passes through the optical sheet 20.

[0036] The optical sheet 20 focuses the light emitted from the light-emitting substrate 10 in the direction that the user would frequently look at and perceive the display device 1. Additionally, the user of the display device 1 may also visually perceive the light from the display device 1 through a light-reflecting component. In this case, the light from the display device 1 is emitted towards the light-reflecting component and, after reflection, reaches the user's eyes. For example, when the display device 1 is used as a head-up display projecting an image onto the windshield of a car, the user visually perceives the light from the display device 1 through the windshield. In such a case, the direction of the intended path of light from the display device 1 to the light-reflecting component can be considered as the direction in which the user would visually perceive the display device 1. In this case, the optical sheet 20 focuses the light emitted from the light-emitting substrate 10 in the direction of the intended path of light from the display device 1 to the light-reflecting component.

[0037] Imagine that a user frequently visually identifies the orientation of the display device 1, for example, the front orientation of the display device 1. In this case, the optical sheet 20 focuses the light emitted from the light-emitting substrate 10 in a direction perpendicular to the second direction d2 towards the front orientation of the display device 1. In other words, the focusing direction of the optical sheet 20 that focuses the light diffused in a direction perpendicular to the second direction d2 is the front orientation of the display device 1. The front orientation is the direction of the normal direction d4 to the surface of the light-emitting substrate 10. Hereinafter, as an example of the optical sheet 20 of this embodiment, an optical sheet 20 that focuses the light emitted from the light-emitting substrate 10 in a direction perpendicular to the second direction d2 towards the front orientation of the display device 1 will be described.

[0038] As shown in Figure 4, the optical sheet 20 has a plurality of unit lenses 21. In the example shown in Figure 4, the optical sheet 20 has a plurality of unit lenses 21 and a body portion 23. The plurality of unit lenses 21 are disposed on the body portion 23. The dashed line of the additional symbol L1 shown in Figure 4 is a virtual line showing the boundary between the plurality of unit lenses 21 and the body portion 23. In the example shown in Figure 4, adjacent unit lenses 21 are in contact with each other in the first direction d1. In this case, the plane where the lens surfaces 21a of adjacent unit lenses 21 are connected to each other and perpendicular to the front direction (normal direction d4) of the display device 1 can be regarded as the boundary L1 between the unit lenses 21 and the body portion 23. Although not shown, as will be described later, a gap may also be provided between adjacent unit lenses 21 in the first direction d1. In this case, the surface of the optical sheet 20 formed between adjacent unit lenses 21 and the lens surface 21a of the unit lens 21, which is perpendicular to the front direction (normal direction d4) of the display device 1, can be regarded as the boundary L1 between the unit lens 21 and the body part 23.

[0039] The thickness of the optical sheet 20 is, for example, 10 μm or more and 4000 μm or less. The refractive index of the optical sheet 20 is, for example, 1.4 or more and less than 1.7. Ideally, the refractive index of the optical sheet 20 is 1.45 or more and less than 1.65, and more ideally, 1.50 or more and less than 1.60. The refractive index of the optical sheet 20 may also be 1.45 or more and less than 1.54. Although the material of the optical sheet 20 is not particularly limited, it may be, for example, a light-transmitting optical sheet formed of resin or glass. Examples of materials for the optical sheet 20 include polyethylene terephthalate, polyolefins, polycarbonate, polyacrylate, polyamide, cellulose triacetate, and glass. The optical sheet 20 may also be formed from, for example, films or glass whose main components are polyethylene terephthalate, polyolefins, polycarbonate, polyacrylate, polyamide, or cellulose triacetate. In the example shown in Figure 4, the body 23 of the optical sheet 20 and the unit lens 21 are formed as a single unit using the same material. Here, "transmittance" and "transparency" refer to the degree to which the optical sheet 20 is transparent enough to allow light to pass through from one side of the optical sheet 20 to the other. The optical sheet 20 has, for example, a visible light transmittance of 30% or more, and more ideally, 70% or more. Visible light transmittance is specifically the average transmittance at various wavelengths measured using a spectrophotometer (Shimadzu Corporation's "UV-3100PC", a product conforming to JIS K 0115) within the measurement wavelength range of 380 nm to 780 nm.

[0040] The unit lens 21 is an element that refracts incident light on its surface, i.e., lens surface 21a, to change the direction of light travel. In this embodiment, the unit lens 21 focuses light emitted from the light-emitting substrate 10 that diffuses in a direction perpendicular to the second direction d2 toward the front of the display device 1.

[0041] A plurality of unit lenses 21 are disposed in a first direction d1 and extend in a second direction d2 that is not parallel to the first direction d1. In this embodiment, the plurality of unit lenses 21 constitute a linear array lens.

[0042] In the illustrated example, the unit lens 21 extends linearly along the second direction d2. In the illustrated example, the first direction d1 and the second direction d2 are orthogonal to each other. Therefore, a plurality of unit lenses 21 are arranged in a direction orthogonal to the direction in which the unit lens 21 extends linearly.

[0043] A plurality of unit lenses 21 are arranged corresponding to unit regions 10a. In this embodiment, the plurality of unit regions 10a are arranged in the first direction d1 and the second direction d2. The column of unit regions 10a formed by arranging the plurality of unit regions 10a shown in FIG. 1 in the second direction d2 is called the unit region second direction column 10c. In this embodiment, when viewed from the normal direction d4 toward the surface of the light-emitting substrate 10, one unit lens 21 corresponds to one unit region second direction column 10c. In this embodiment, each of the plurality of unit lenses 21 corresponds to each of the plurality of unit region second direction columns 10c. The unit lens 21 corresponding to the unit region second direction column 10c means that the unit lens 21 overlaps with the center of the light-emitting part 13 of the unit region 10a constituting the unit region second direction column 10c in the first direction d1 in the normal direction d4. In this embodiment, as shown in FIG4, each of the plurality of unit lenses 21 overlaps with the center C1 of the light-emitting portion 13 of the unit region 10a constituting each of the unit regions 10a in the first direction d1 along the normal direction d4. In the example shown in FIG4, the center C2 of each of the plurality of unit lenses 21 in the first direction d1 overlaps with the center C1 of the light-emitting portion 13 of the unit region 10a constituting each of the unit regions 10a in the first direction d1.

[0044] In the example shown in FIG3, as described above, the unit region 10a with the first light-emitting part 13R and the unit region 10a with the second light-emitting part 13G are arranged in the second direction d2 extending from the unit lens 21. In this case, one unit lens 21 overlaps the first light-emitting part 13R and the second light-emitting part 13G in the normal direction d4. In the example shown in FIG3, in particular, the unit region 10a with the first light-emitting part 13R, the unit region 10a with the second light-emitting part 13G, and the unit region 10a with the third light-emitting part 13B are arranged in the second direction d2. In this case, one unit lens 21 overlaps the first light-emitting part 13R, the second light-emitting part 13G, and the third light-emitting part 13B in the normal direction d4.

[0045] In the illustrated example, the unit lens 21 changes the direction of light travel through refraction at the lens surface 21a. The unit lens 21 has a shape equivalent to a portion of a circle or an ellipse in a cross-section orthogonal to its long side direction (second direction d2). In this embodiment, the unit lens 21 has a shape equivalent to a portion of a circle in a cross-section orthogonal to the second direction d2. In the example shown in Figure 4, the unit lens 21 has a semi-circular shape in a cross-section orthogonal to the second direction d2. In this embodiment, the unit lens 21 refracts light emitted from the light-emitting substrate 10 such that, when viewed from the second direction d2, the direction of light travel changes.

[0046] Here, the radius of curvature of the lens surface 21a of the unit lens 21 is set as r. In this embodiment, the radius of curvature r of the lens surface 21a of the unit lens 21 is determined by the shape of the lens surface 21a as seen in a cross-section orthogonal to the second direction d2 of the unit lens 21. As mentioned above, in the example shown in FIG4, the lens surface 21a of the unit lens 21 has a semi-circular shape in a cross-section orthogonal to the second direction d2. Therefore, the radius of curvature r is equal to the height h of the unit lens 21 shown in FIG4. The height h of the unit lens 21 is the distance between the vertex P1 of the unit lens 21 and the boundary L1 between the unit lens 21 and the body portion 23. The vertex P1 of the unit lens 21 is the point on the lens surface 21a as seen in a cross-section orthogonal to the second direction d2 that is furthest from the light-emitting substrate 10. Although not illustrated, when the shape of the lens surface 21a appearing in the cross section orthogonal to the second direction d2 of the unit lens 21 is not equivalent to a part of a circle, the radius of curvature at vertex P1 can be determined as the radius of curvature r.

[0047] Furthermore, the distance between the light-emitting part 13 and the unit lens 21 is set as d. In this embodiment, as shown in FIG4, the distance d is equivalent to the distance between the light-emitting part 13 and the boundary L1 between the unit lens 21 and the body part 23.

[0048] The radius of curvature r of the lens surface 21a of the unit lens 21 and the distance d between the light-emitting part 13 and the unit lens 21 are determined such that the brightness in the direction of the visual recognition display device 1 is sufficiently large, taking into account the spacing p of the light-emitting parts 13 and the width w of the light-emitting parts 13. The radius of curvature r is, for example, 2 μm or more and 3000 μm or less. The distance d is, for example, 1 μm or more and 7000 μm or less.

[0049] The length (width) of the unit lens 21 along the first direction d1 is appropriately determined in accordance with the radius of curvature r, etc. The length (width) of the unit lens 21 along the first direction d1 is, for example, 10 μm or more and 2000 μm or less. The length of the unit lens 21 along the second direction d2 is appropriately determined in accordance with the width of the area of ​​the light-emitting substrate 10 where the light-emitting part 13 is provided, etc.

[0050] As shown in Figures 3 and 4, the spacing between the unit lenses 21 in the first direction d1 is set to p2. The spacing p2 is the distance from the center C2 of a certain unit lens 21 in the first direction d1 to the center C2 of the unit lens 21 adjacent to that unit lens 21 in the first direction d1. The spacing p2 of the unit lenses 21 is, for example, 10 μm or more and 2000 μm or less. In this embodiment, the spacing p2 of the unit lenses 21 is equal to the spacing p of the light-emitting portion 13.

[0051] In the example shown in Figure 4, adjacent unit lenses 21 in the first direction d1 are in contact with each other. Although not shown, a gap may also be provided between adjacent unit lenses 21 in the first direction d1. In this case, the width of the gap between adjacent unit lenses 21 in the first direction d1 is appropriately determined according to the radius of curvature r and the spacing p2 of the unit lenses 21.

[0052] The sealing layer 40 is a layer that covers the surface of the light-emitting substrate 10 where the light-emitting portion 13 is provided. The sealing layer 40 protects the light-emitting portion 13 by covering the surface of the light-emitting substrate 10 where the light-emitting portion 13 is provided. The sealing layer 40 is formed of a transparent component. The material of the sealing layer 40 is not particularly limited, and can be, for example, resin or silicone resin. The refractive index of the sealing layer 40 is, for example, 1.4 or more and less than 1.8. The thickness of the portion of the sealing layer 40 overlapping the light-emitting portion 13 in the first direction d1 is, for example, 1 μm or more and 7000 μm or less.

[0053] The substrate layer 60 is a substrate layer on which the optical sheet 20 is disposed. In this embodiment, the body portion 23 of the optical sheet 20 is disposed on and supported by the substrate layer 60. The substrate layer 60 is formed of a transparent component. The material of the substrate layer 60 is not particularly limited, for example, it is glass. The refractive index of the substrate layer 60 is, for example, 1.4 or more and less than 1.8. The thickness of the substrate layer 60 is, for example, 1 μm or more and 7000 μm or less.

[0054] The adhesive layer 50 is a layer that bonds the sealing layer 40 and the substrate layer 60 by adhesion. The adhesive layer 50 is formed of a transparent component. The material of the adhesive layer 50 is not particularly limited; for example, it can be optically clear adhesive sheet (OCA). Alternatively, the adhesive layer 50 may be omitted, and the sealing layer 40 and the substrate layer 60 may be bonded by the properties of the sealing layer 40. The refractive index of the adhesive layer 50 is, for example, 1.4 or higher and less than 1.8. The thickness of the adhesive layer 50 is, for example, 1 μm or higher and less than 7000 μm.

[0055] In the example shown in Figure 4, the space between the light-emitting substrate 10 and the optical sheet 20 is filled by a sealing layer 40, an adhesive layer 50, and a substrate layer 60. This prevents the formation of an air gap between the light-emitting substrate 10 and the optical sheet 20. The total thickness of the portion of the sealing layer 40, adhesive layer 50, and substrate layer 60 that overlaps with the light-emitting portion 13 in the first direction d1 is, for example, 1 μm or more and 7000 μm or less.

[0056] In the display device 1 of this embodiment, the radius of curvature r and the distance d are determined in a way that the brightness in the direction of visual identification of the display device 1 is sufficiently large, in accordance with the spacing p of the light-emitting parts 13 and the width w of the light-emitting parts 13.

[0057] To illustrate one example of the brightness conditions in this embodiment, the aforementioned brightness conditions are those that sufficiently increase the brightness in the direction intended for the user to visually identify the display device 1. For the display device 1, in order to efficiently utilize light and increase the brightness, particularly in the direction intended for the user to visually identify the display device 1, it is sometimes necessary to focus light in that direction and increase the brightness in that direction. Specifically, by focusing light in the direction intended for the user to visually identify the display device 1, compared to the case where light is emitted from the light-emitting substrate 10 without the optical sheet 20 overlapping it, the brightness in that direction can be relatively increased. As an example, ideally, the brightness in the focusing direction of the optical sheet 20 is at least 150% of the brightness in the normal direction d4 when light is emitted from the light-emitting substrate 10 without the optical sheet 20 overlapping it. As the brightness in the normal direction d4 when light is emitted from the light-emitting substrate 10 without the optical sheet 20 overlapping the light-emitting substrate 10, the average brightness in the range of -5° to +5° formed by the angle θ formed by the light-emitting substrate 10 with the front direction (normal direction d4) without the optical sheet 20 overlapping the light-emitting substrate 10 can be used.

[0058] On the other hand, it is also conceivable that a user visually identifies the display device 1 from an angle formed relative to the light-gathering direction of the optical sheet 20. Based on such a concept, the display device 1 would require that the brightness in the direction where the angle formed relative to the light-gathering direction is less than a certain size also be increased to a certain level.

[0059] Figure 5 shows the display device 1 as viewed from the second direction d2. In Figure 5, for the display device 1, the schematic diagrams of the constituent elements of the display device 1, such as the light-emitting substrate 10 and the optical sheet 20, are omitted; only the general shape of the display device 1 is shown. The dashed line of the additional symbol L2 shown in Figure 5 is a virtual line that is perpendicular to the second direction d2 and extends in a direction forming an angle θ with respect to the front direction of the display device 1.

[0060] Figure 6 is a diagram showing an example of the brightness distribution in the direction perpendicular to the second direction d2 for the display device 1 shown in Figures 1 to 5. The vertical axis of Figure 6 represents the magnitude of the displayed brightness. The horizontal axis of Figure 6 represents the angle θ formed by the direction of the observed brightness shown on the vertical axis relative to the front direction of the display device 1 (corresponding to the angle formed relative to the focusing direction of the optical sheet 20).

[0061] In the brightness distribution shown in Figure 6, the maximum brightness value within the range of -5° to +5° relative to the focusing direction of the optical sheet 20 (the angle θ relative to the front direction of the display device 1) is defined as M. The maximum value M corresponds to the maximum brightness value in the direction perpendicular to the second direction d2 of the display device 1 and within the range of -5° to +5° relative to the focusing direction of the optical sheet 20. Furthermore, in the brightness distribution shown in Figure 6, the minimum brightness value within the range of -5° to +5° relative to the focusing direction of the optical sheet 20 (the angle θ relative to the front direction of the display device 1) is defined as m. The minimum value m corresponds to the minimum brightness value in the direction perpendicular to the second direction d2 of the display device 1 and within the range of -5° to +5° relative to the focusing direction of the optical sheet 20. Ideally, the minimum value m shown in Figure 6 should be 50% or more of the maximum value M. Therefore, even when a user views the display device 1 from an angle relative to the focusing direction of the optical sheet 20, the brightness in the direction in which the user views the display device 1 can still be ensured. In particular, when viewed from the second direction d2, when the angle formed between the user's line of sight to the display device 1 and the focusing direction of the optical sheet 20 is -5° or more and +5° or less, the brightness in the direction in which the user views the display device 1 can be ensured. Furthermore, since the minimum value m is 50% or more of the maximum value M, the difference between the minimum value m and the maximum value M becomes smaller, and the uniformity of brightness in the range of angles formed relative to the focusing direction of the optical sheet 20 of -5° or more and +5° or less becomes higher. Therefore, for example, when the user changes the direction in which they view the display device 1 within the range of angles θ of -5° or more and +5° or less, the variation in brightness perceived by the user can be reduced.

[0062] As described above, the brightness of the optical sheet 20 in the focusing direction is at least 150% of the brightness of the light-emitting substrate 10 in the state where the optical sheet 20 is not overlapping, and the minimum value m is at least 50% of the maximum value M. By satisfying both of these conditions, the following effect can be obtained: The brightness of the optical sheet 20 in the focusing direction is at least 150% of the brightness of the light-emitting substrate 10 in the state where the optical sheet 20 is not overlapping, thereby sufficiently increasing the brightness of the optical sheet 20 in the focusing direction. Therefore, when a user visually identifies the display device 1 from the focusing direction, the brightness that the user can visually identify can be sufficiently increased. In addition, the minimum value m is at least 50% of the maximum value M, thereby ensuring that the brightness in the direction where the angle formed with respect to the focusing direction of the optical sheet 20 is between -5° and +5° is at least 75% of the brightness of the light-emitting substrate 10 in the state where the optical sheet 20 is not overlapping. Therefore, when a user views the display device 1 from an angle of -5° or more and +5° or less relative to the focusing direction of the optical sheet 20, the brightness of the display can be sufficiently increased. Based on the above, when a user views the display device 1 from an angle of -5° or more and +5° or less relative to the focusing direction of the optical sheet 20, the viewability of the display device 1 can be sufficiently ensured.

[0063] Based on the above, as one example of the conditions for the brightness of the display device 1, it is ideal to determine that the following two conditions are met: the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is at least 50% of the maximum value M. The display device 1 that meets the above brightness conditions is particularly suitable for use as a head-up display. The display device 1 that meets the above brightness conditions is particularly suitable for use as a head-up display that projects images onto the windshield of a car.

[0064] The inventors of this invention conducted careful research on a display device 1 that can sufficiently increase the brightness in the direction intended for user visual recognition, particularly a display device 1 that satisfies the aforementioned brightness conditions. As a result, the inventors discovered that by adjusting the radius of curvature r and distance d in accordance with the values ​​of the spacing p and the width w of the light-emitting portions 13 in the light-emitting substrate 10, a display device 1 that satisfies the aforementioned brightness conditions can be provided. In particular, it was discovered that by adjusting the radius of curvature r and distance d in accordance with the ratio of the width w of the light-emitting portions 13 to the spacing p, i.e., in accordance with the value of w / p, a display device 1 that satisfies the aforementioned brightness conditions can be provided.

[0065] The following explanation, based on the w / p value, addresses the conditions for the values ​​of the radius of curvature r and distance d that satisfy the following conditions: the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is at least 50% of the maximum value M. Specifically, the explanation will focus on the conditions for the values ​​of the radius of curvature r and distance d that satisfy the above brightness conditions in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1.

[0066] When w / p is less than 0.025, it is ideal for at least one of the following to be true: r / p is 0.2 or more and less than 0.525 and satisfies equation (1); r / p is 0.525 or more and less than 1.5 and satisfies equation (2); r / p is 0.2 or more and less than 0.525 and satisfies equation (3); r / p is 0.525 or more and less than 0.725 and satisfies equation (4); and r / p is 0.725 or more and less than 1.5 and satisfies equation (5). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 9] 1.18×r / p-0.29≦d / p≦1.36×r / p-0.05…Equation (1) 1.18×r / p-0.29≦d / p≦2.08×r / p-0.15…Equation (2) 2.43×r / p+0.05≦d / p≦4.64×r / p-0.3…Equation (3) 4.5×r / p-0.85≦d / p≦4.64×r / p-0.3…Equation (4) 4.5×r / p-0.85≦d / p≦1.2×r / p+2.46…Equation (5)

[0067] Figure 7a is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation test, the refractive index of the optical sheet 20 was set to 1.50. Furthermore, the simulation test described below assumes that the lens surface 21a of the unit lens 21 has a shape equivalent to a portion of a circle, and the radius of curvature r was set accordingly. Figure 7a specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.01. In the table shown in Figure 7a, "1" indicates that the following conditions are met in the corresponding r / p and d / p values: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is 50% or more of the maximum value M. For example, the column in the table where r / p is 0.2 and d / p is 0.1 is marked as "1". This means that the brightness condition is met by determining the radius of curvature r and distance d such that r / p is 0.2 and d / p is 0.1 and simulating the brightness distribution. In the table shown in Figure 7a, "0" indicates that at least one of the following conditions is not met in the corresponding r / p and d / p values: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is 50% or more of the maximum value M. For example, the column in the table where r / p is 0.2 and d / p is 0.3 is marked as "0". This refers to the result of simulating the brightness distribution by determining the radius of curvature r and distance d such that r / p is 0.2 and d / p is 0.3, which does not satisfy the above brightness conditions.

[0068] The test results shown in Figure 7a also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (1); r / p is 0.525 or higher and less than 1.5 and satisfies equation (2); r / p is 0.2 or higher and less than 0.525 and satisfies equation (3); r / p is 0.525 or higher and less than 0.725 and satisfies equation (4); and r / p is 0.725 or higher and less than 1.5 and satisfies equation (5).

[0069] When w / p is 0.025 or higher and less than 0.075, it is ideal for at least one of the following to be true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (6); r / p is 0.525 or higher and less than 1.5 and satisfies equation (7); r / p is 0.2 or higher and less than 0.525 and satisfies equation (8); r / p is 0.525 or higher and less than 0.725 and satisfies equation (9); and r / p is 0.725 or higher and less than 1.5 and satisfies equation (10). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the unoverlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 10] 1.18×r / p-0.29≦d / p≦1.36×r / p…Equation (6) 1.18×r / p-0.29≦d / p≦2.05×r / p-0.03…Equation (7) 2.57×r / p-0.01≦d / p≦4.65×r / p-0.3…Equation (8) 4.67×r / p-0.98≦d / p≦4.65×r / p-0.3…Equation (9) 4.67×r / p-0.98≦d / p≦1.2×r / p+2.46…Equation (10)

[0070] Figure 7b is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 7b specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 so that the value of w / p is 0.05. The meanings of "1" and "0" in the table shown in Figure 7b are the same as those of "1" and "0" in the table shown in Figure 7a.

[0071] The test results shown in Figure 7b also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.525 and satisfies equation (6); r / p is 0.525 or more and less than 1.5 and satisfies equation (7); r / p is 0.2 or more and less than 0.525 and satisfies equation (8); r / p is 0.525 or more and less than 0.725 and satisfies equation (9); and r / p is 0.725 or more and less than 1.5 and satisfies equation (10).

[0072] When w / p is 0.075 or higher and less than 0.15, it is ideal for at least one of the following to be true: r / p is 0.2 or higher and less than 0.375 and satisfies equation (11); r / p is 0.375 or higher and less than 1.5 and satisfies equation (12); r / p is 0.2 or higher and less than 0.725 and satisfies equation (13); and r / p is 0.725 or higher and less than 1.5 and satisfies equation (14). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 11] 1.18×r / p-0.29≦d / p≦4×r / p-0.1…Equation (11) 1.18×r / p-0.29≦d / p≦2.17×r / p-0.19…Equation (12) 4.79×r / p-1.09≦d / p≦5.07×r / p-0.58…Equation (13) 4.79×r / p-1.09≦d / p≦1.8×r / p+1.94…Equation (14)

[0073] Figure 8 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 8 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.1. The meanings of "1" and "0" in the table shown in Figure 8 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0074] The test results shown in Figure 8 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.375 and satisfies equation (11); r / p is 0.375 or more and less than 1.5 and satisfies equation (12); r / p is 0.2 or more and less than 0.725 and satisfies equation (13); and r / p is 0.725 or more and less than 1.5 and satisfies equation (14).

[0075] When w / p is 0.15 or more and less than 0.25, it is ideal that at least one of the following is true: r / p is 0.2 or more and less than 0.725 and satisfies equation (15); r / p is 0.725 or more and less than 1.5 and satisfies equation (16); and r / p is 0.2 or more and less than 1.5 and satisfies equation (17). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 12] 1.18×r / p-0.29≦d / p≦4.84×r / p-0.45…Equation (15) 1.18×r / p-0.29≦d / p≦1.69×r / p+0.6…Equation (16) 5.6×r / p-1.84≦d / p≦1.8×r / p+1.94…Equation (17)

[0076] Figure 9 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 9 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.2. The meanings of "1" and "0" in the table shown in Figure 9 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0077] The test results shown in Figure 9 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.725 and satisfies equation (15), r / p is 0.725 or more and less than 1.5 and satisfies equation (16), and r / p is 0.2 or more and less than 1.5 and satisfies equation (17).

[0078] When w / p is 0.25 or more and less than 0.35, it is ideal for at least one of the following to be true: r / p is 0.25 or more and less than 0.975 and satisfies equation (18) below, and r / p is 0.975 or more and less than 1.5 and satisfies equation (19) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m is at least 50% of the maximum value M. [Mathematical Expression 13] 1.22×r / p-0.33≦d / p≦4.55×r / p-0.42…Equation (18) 1.22×r / p-0.33≦d / p≦1.04×r / p+1.78…Equation (19)

[0079] Figure 10 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 10 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.3. The meanings of "1" and "0" in the table shown in Figure 10 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0080] The test results shown in Figure 10 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.25 or higher and less than 0.975 and satisfies equation (18), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (19).

[0081] Ideally, when w / p is 0.35 or higher and less than 0.45, r / p is 0.3 or higher and less than 1.5, and the following equation (20) is satisfied. In this way, the brightness of the display device 1 is 150% or higher of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20, and the minimum value m is 50% or higher of the maximum value M, both of which can be satisfied. [Mathematical Expression 14] 1.26×r / p-0.37≦d / p≦5.56×r / p-1.01…Equation (20)

[0082] Figure 11 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 11 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.4. The meanings of "1" and "0" in the table shown in Figure 11 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0083] The test results shown in Figure 11 also indicate that if r / p is greater than or equal to 0.3 and less than 1.5 and satisfies equation (20), then the above brightness conditions will be met.

[0084] Ideally, when w / p is 0.45 or higher and less than 0.55, r / p is 0.4 or higher and less than 1.5, and the following equation (21) is satisfied. In this way, the brightness of the display device 1 is 150% or higher of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20, and the minimum value m is 50% or higher of the maximum value M, both of which can be satisfied. [Mathematical Expression 15] 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (21)

[0085] Figure 12 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 12 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.5. The meanings of "1" and "0" in the table shown in Figure 12 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0086] The test results shown in Figure 12 also indicate that if r / p is greater than or equal to 0.4 and less than 1.5 and satisfies equation (21), then the above brightness conditions will be met.

[0087] Ideally, when w / p is 0.55 or higher and less than 0.65, r / p is 0.45 or higher and less than 1.5, and the following equation (22) is satisfied. In this way, the brightness of the display device 1 is 150% or higher of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20, and the minimum value m is 50% or higher of the maximum value M, both of which can be satisfied. [Mathematical Expression 16] 1.38×r / p-0.45≦d / p≦5.8×r / p-1.48…Equation (22)

[0088] Figure 13 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 13 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.6. The meanings of "1" and "0" in the table shown in Figure 13 are the same as those of "1" and "0" in the table shown in Figure 7a.

[0089] The test results shown in Figure 13 also indicate that if r / p is greater than 0.45 and less than 1.5 and satisfies equation (22), then the above brightness conditions will be met.

[0090] r / p can be set above 0.2. r / p can also be set below 1.5. d / p can also be set above 0.1. d / p can also be set below 3.5.

[0091] As described above, the radius of curvature r and distance d are adjusted according to the values ​​of the spacing p of the light-emitting part 13 and the width w of the light-emitting part 13, thereby providing a display device 1 that meets the above brightness conditions. As a reason for the above situation, the considerations will be explained.

[0092] Figures 14 to 16 are diagrams showing examples of the light path when light emitted from the light-emitting portion 13 of the light-emitting substrate 10 passes through the optical sheet 20. In Figures 14 to 16, the sealing layer 40, adhesive layer 50, and substrate layer 60 are omitted. Figures 14 to 16 all show the display device 1 as viewed from the second direction d2. Figure 14 shows an example of the light path when the ratio of distance d to the spacing p of the light-emitting portion 13 is particularly small. Figure 15 shows an example of the light path when the ratio of distance d to the spacing p of the light-emitting portion 13 is particularly large. Figure 16 shows an example of the light path when the ratio of distance d to the spacing p of the light-emitting portion 13 is larger than in Figure 14 and smaller than in Figure 15. The lines marked with the symbol L3 in Figures 14 to 16 show the light paths in each figure.

[0093] In the example shown in Figure 14, the ratio of distance d to the spacing p of the light-emitting part 13 is particularly small. Therefore, in the example shown in Figure 14, a portion of the light emitted from the light-emitting part 13 reaches the lens surface 21a at a relatively small angle of incidence. Consequently, in the example shown in Figure 14, the unit lens 21 is unable to focus this portion of the light in the frontal direction.

[0094] In the example shown in Figure 15, the ratio of distance d to the spacing p of the light-emitting part 13 is particularly large. Therefore, a portion of the light emitted from the light-emitting part 13 also reaches the unit lens 21, which is located in the frontal direction of the light-emitting part 13. Therefore, in the example shown in Figure 15, the unit lens 21 is unable to focus a portion of the light in the frontal direction.

[0095] In contrast, in the example shown in FIG16, the ratio of distance d to the distance p of the light-emitting part 13 is larger than that in FIG14 and smaller than that in FIG15. Therefore, in the example shown in FIG16, it can be considered that less light reaches the lens surface 21a at a smaller angle of incidence compared to the example shown in FIG14, and less light reaches the unit lens 21 other than the unit lens 21 located in the front direction of the light-emitting part 13 compared to the example shown in FIG15. Thus, in the example shown in FIG16, compared to the examples shown in FIG14 and FIG15, it can be considered that the light emitted from the light-emitting part 13 is focused more towards the front direction.

[0096] Figures 17a to 17g are graphs showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with appropriate settings for the spacing p, width w, radius of curvature r, and distance d of the light-emitting portions 13 in the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. The vertical axis marked with the symbol V in Figures 17a to 17g represents the brightness as a ratio to the average brightness value, which is the average brightness value of the light-emitting substrate 10 in the state of not overlapping the optical sheet 20 in the range of -5° to +5° relative to the front direction (normal direction d4). The horizontal axis in Figures 17a to 17g is the angle θ (°) formed by the direction of the observed brightness shown on the vertical axis relative to the front direction (normal direction d4) of the display device 1.

[0097] Figures 17a to 17g show the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2 of the display device 1 when the spacing p, width w, and radius of curvature r of the light-emitting parts 13 are set to fixed values, and the distance d is changed. In Figures 17a to 17g, the experimental results of simulating the brightness distribution are shown when the spacing p, width w, and radius of curvature r of the light-emitting parts 13 are determined such that the value of w / p is 0.2 and the value of r / p is 0.7, and the value of d / p is changed by changing the distance d.

[0098] The five curves in Figure 17a represent the luminance distribution when the distance d is determined such that the d / p value is 0.1, 0.2, 0.3, 0.4, or 0.5. The five curves in Figure 17b represent the luminance distribution when the distance d is determined such that the d / p value is 0.6, 0.7, 0.8, 0.9, or 1. The five curves in Figure 17c represent the luminance distribution when the distance d is determined such that the d / p value is 1.1, 1.2, 1.3, 1.4, or 1.5. The five curves in Figure 17d represent the luminance distribution when the distance d is determined such that the d / p value is 1.6, 1.7, 1.8, 1.9, or 2. The five curves in Figure 17e represent the luminance distribution when the distance d is determined such that the d / p value is 2.1, 2.2, 2.3, 2.4, or 2.5. The five curves shown in Figure 17f represent the brightness distribution when the distance d is determined such that the d / p value is 2.6, 2.7, 2.8, 2.9, or 3. The five curves shown in Figure 17g represent the brightness distribution when the distance d is determined such that the d / p value is 3.1, 3.2, 3.3, 3.4, or 3.5.

[0099] Referring to Figures 17a to 17g, in Figure 17a, where the d / p value is particularly small, the brightness in the frontal direction is smaller compared to Figures 17d, etc. In Figure 17a, the brightness is greatest in the direction deviating from the frontal direction. This can be considered as reflected in Figure 14, indicating that since a portion of the light emitted from the light-emitting part 13 reaches the lens surface 21a at a small angle of incidence, the unit lens 21 cannot focus this portion of the light in the frontal direction.

[0100] Furthermore, in Figure 17g, where the d / p value is particularly large, the brightness in the frontal direction is smaller compared to Figure 17d, etc. The brightness distribution shown in Figure 17a has a maximum brightness value in the frontal direction, and also has a maximum brightness value in multiple directions deviating from the frontal direction. This can be considered as reflected in Figure 15, indicating that a portion of the light emitted from the light-emitting part 13 also reaches the unit lens 21 located outside the unit lens 21 in the frontal direction of the light-emitting part 13.

[0101] In contrast, in Figure 17d, where the d / p value is larger than that in Figure 17a but smaller than that in Figure 17g, the brightness in the frontal direction is greater compared to Figures 17a and 17g. This can be considered to reflect the following situation: in Figure 17d, as shown in the example of Figure 16, compared to Figures 17a and 17g, the effect of focusing the light emitted from the light-emitting part 13 towards the frontal direction is greater. Furthermore, it can be considered that the condition for the d / p value that maximizes the effect of focusing the light emitted from the light-emitting part 13 towards the frontal direction varies depending on the value of w / p or the radius of curvature r.

[0102] Here, we discuss the conditions for the brightness of the display device 1 to be at least 150% of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20, and for the minimum value m to be at least 50% of the maximum value M, both of which are satisfied. To make the brightness of the display device 1 at least 150% of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20, as shown in Figures 16 and 17d, it is ideal to have a greater effect of focusing light in the focusing direction (front direction). On the other hand, to make the minimum value m at least 50% of the maximum value M, as shown in Figures 14, 15, 17a, and 17g, it is ideal to have a smaller effect of focusing light in the focusing direction. The optical sheet 20 of this embodiment can also be designed with this brightness condition in mind, intentionally reducing the effect of focusing light in the focusing direction.

[0103] As described above, by adjusting the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13, the magnitude of the light-focusing effect of the optical sheet 20 can be changed. For example, by adjusting the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13, the light-focusing effect in the focusing direction can be reduced. Furthermore, by this adjustment, the magnitude of the light-focusing effect of the optical sheet 20 can be increased to the point that the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state where the optical sheet 20 is not overlapped. Furthermore, the magnitude of the light-focusing effect of the optical sheet 20 can be reduced to the point that the minimum value m is 50% or more of the maximum value M. It can be considered that by adjusting the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13 as described above, a display device 1 that meets the above brightness conditions can be provided. In particular, it can be assumed that the above-mentioned brightness conditions will be met in a display device 1 in which the focusing direction of the optical sheet 20 is the front direction of the display device 1. By adjusting the spacing p, the width w, the radius of curvature r, and the distance d of the light-emitting parts 13 as described above, the brightness in the focusing direction can be increased while ensuring the brightness in the direction that forms an angle relative to the focusing direction.

[0104] In particular, the inventors of this invention discovered the following tendency from the results of simulation experiments: as long as the spacing p, width w, radius of curvature r, and distance d of the light-emitting portions 13 are adjusted as described above, and the refractive index of the optical sheet 20 is within the range of the refractive index of a typical optical sheet 20 provided in the display device 1, it is possible to set the brightness in the focusing direction to be large while ensuring the brightness in the direction forming an angle relative to the focusing direction. Furthermore, the following tendency was discovered: especially when the material of the optical sheet 20 is resin, regardless of the type of resin, it is possible to stably set the brightness in the focusing direction to be large while ensuring the brightness in the direction forming an angle relative to the focusing direction. Moreover, the inventors of this invention discovered the following tendency from the results of simulation experiments: as long as the spacing p, width w, radius of curvature r, and distance d of the light-emitting portions 13 are adjusted as described above, and the layer provided between the light-emitting substrate 10 and the optical sheet 20 is a layer provided in a typical display device 1, it is possible to set the brightness in the focusing direction to be large while ensuring the brightness in the direction forming an angle relative to the focusing direction. Furthermore, the following tendency was discovered: particularly when no air layer is formed between the light-emitting substrate 10 and the optical sheet 20, regardless of the type of layer disposed between the light-emitting substrate 10 and the optical sheet 20, it is possible to stably set the brightness in the focusing direction to be relatively large while ensuring the brightness in the direction forming an angle relative to the focusing direction. Furthermore, the following tendency was discovered: particularly when the aforementioned sealing layer 40, adhesive layer 50, and substrate layer 60 are disposed between the light-emitting substrate 10 and the optical sheet 20, and the refractive index and thickness of the sealing layer 40, adhesive layer 50, and substrate layer 60 are within the aforementioned range, it is possible to stably set the brightness in the focusing direction to be relatively large while ensuring the brightness in the direction forming an angle relative to the focusing direction.

[0105] In conventional technologies, optical sheets aim to improve the light-focusing effect. In contrast, the optical sheet 20 of this embodiment can also be designed, as described above, to reduce the light-focusing effect. Furthermore, the spacing p, width w, radius of curvature r, and distance d of the light-emitting portions 13 can be adjusted in the optical sheet 20 of this embodiment to further reduce the light-focusing effect. Based on this concept, the optical sheet 20 of this embodiment differs from conventional technologies.

[0106] The display device 1 of this embodiment adjusts the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13 as described above, thereby achieving the following effect. In the display device 1, which has a greater effect on focusing light in the focusing direction, for example, as shown in FIG17d, the width of the peak corresponding to the focusing direction of the optical sheet 20 in the brightness distribution in the direction perpendicular to the second direction is smaller. Therefore, when the position of the optical sheet 20 relative to the light-emitting substrate 10 deviates from the first direction d1, even if the deviation is small, the brightness of the optical sheet 20 in the focusing direction will decrease significantly. In contrast, the display device 1, which adjusts the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13 as described above, suppresses the effect of focusing light in the focusing direction and prevents it from becoming excessive. Therefore, even if the position of the optical sheet 20 deviates from the light-emitting substrate 10, the brightness of the optical sheet 20 in the focusing direction is not easily reduced. This allows the required alignment precision when mounting the optical sheet 20 onto the light-emitting substrate 10 to be minimized.

[0107] Furthermore, the display device 1 of this embodiment adjusts the radius of curvature r and distance d according to the values ​​of the spacing p and the width w of the light-emitting portions 13, as described above, thereby achieving the following effects. In particular, considering the case where a single lens 21 overlaps the first light-emitting portion 13R and the second light-emitting portion 13G in the normal direction d4, the second light-emitting portion 13G emits light of a different wavelength than the first light-emitting portion 13R. Here, the refractive index of the lens surface 21a of the single lens 21 varies depending on the wavelength of the light. Therefore, the magnitude of the light-focusing effect of the optical sheet 20 in the focusing direction will vary depending on the wavelength of the light. Thus, even if, for example, the first light-emitting portion 13R and the second light-emitting portion 13G emit light with the same brightness in the focusing direction, the brightness in the focusing direction after passing through the optical sheet 20 will still differ. Moreover, the greater the light-focusing effect itself, the more likely the difference in focusing effect corresponding to the wavelength of the light will become. In contrast, by adjusting the radius of curvature r and distance d of the display device 1 according to the values ​​of the spacing p and the width w of the light-emitting parts 13 as described above, the effect of focusing light in the focusing direction is suppressed and does not become excessive. Therefore, the difference in focusing effect corresponding to the wavelength of light can be suppressed to a small extent. In this way, for example, after controlling the light emission of the first light-emitting part 13R and the second light-emitting part 13G, even without considering the difference in focusing effect corresponding to the wavelength of light, the ratio of brightness of each wavelength of light emitted by the display device 1 can still be sufficiently controlled.

[0108] Next, an example of the manufacturing method of the above-described display device 1 will be described. First, a light-emitting substrate 10 is prepared. Then, a sealing layer 40 is formed to cover the surface of the light-emitting substrate 10 where the light-emitting portion 13 is provided.

[0109] Furthermore, optical sheet 20 is manufactured. In manufacturing optical sheet 20, an optical sheet 20 having a substrate layer 60, a body portion 23 disposed on the substrate layer 60, and a plurality of unit lenses 21 is prepared. The body portion 23 and the unit lenses 21 can be integrally manufactured by resin molding, thereby manufacturing an optical sheet 20 having a body portion 23 and unit lenses 21. Alternatively, the body portion 23 can be disposed on the substrate layer 60, and then a plurality of unit lenses 21 can be disposed on the body portion 23, thereby disposing the optical sheet 20 on the substrate layer 60. In this case, the body portion 23 can be manufactured by resin molding, or by machining such as cutting a resin sheet, or a combination of resin molding and machining such as cutting can be used.

[0110] Next, the sealing layer 40, which covers the surface of the light-emitting substrate 10 where the light-emitting part 13 is provided, and the substrate layer 60 where the optical sheet 20 is provided, are bonded together by the adhesive layer 50. In this way, the display device 1 shown in FIG1 to FIG5 can be manufactured.

[0111] Furthermore, in the manufacturing method of the display device 1 of this embodiment, the radius of curvature r and the distance d are adjusted according to the w / p value as described above. That is, the manufacturing method of the display device 1 of this embodiment includes an adjustment step for adjusting the radius of curvature r and the distance d according to the w / p value. The radius of curvature r can be adjusted during the manufacturing of the optical sheet 20 by adjusting the radius of curvature r of the manufactured unit lens 21. The distance d can be adjusted by adjusting the thickness of at least one of the manufactured sealing layer 40, adhesive layer 50, substrate layer 60, and body portion 23 of the optical sheet 20.

[0112] In the adjustment step of this embodiment, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above formula (1); r / p is 0.525 or more and less than 1.5 and satisfies the above formula (2); r / p is 0.2 or more and less than 0.525 and satisfies the above formula (3); r / p is 0.525 or more and less than 0.725 and satisfies the above formula (4); and r / p is 0.725 or more and less than 1.5 and satisfies the above formula (5).

[0113] In the adjustment step of this embodiment, when w / p is 0.025 or more and less than 0.075, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (6); r / p is 0.525 or more and less than 1.5 and satisfies the above equation (7); r / p is 0.2 or more and less than 0.525 and satisfies the above equation (8); r / p is 0.525 or more and less than 0.725 and satisfies the above equation (9); and r / p is 0.725 or more and less than 1.5 and satisfies the above equation (10).

[0114] In the adjustment step of this embodiment, when w / p is 0.075 or more and less than 0.15, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies the above equation (11), r / p is 0.375 or more and less than 1.5 and satisfies the above equation (12), r / p is 0.2 or more and less than 0.725 and satisfies the above equation (13), and r / p is 0.725 or more and less than 1.5 and satisfies the above equation (14).

[0115] In the adjustment step of this embodiment, when w / p is 0.15 or more and less than 0.25, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.725 and satisfies the above equation (15), r / p is 0.725 or more and less than 1.5 and satisfies the above equation (16), and r / p is 0.2 or more and less than 1.5 and satisfies the above equation (17).

[0116] In the adjustment step of this embodiment, when w / p is 0.25 or more and less than 0.35, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.25 or more and less than 0.975 and satisfies the above equation (18), and r / p is 0.975 or more and less than 1.5 and satisfies the above equation (19).

[0117] In the adjustment steps of this embodiment, when w / p is 0.35 or more and less than 0.45, the radius of curvature r and distance d are adjusted so that r / p is 0.3 or more and less than 1.5 and satisfies the above formula (20).

[0118] In the adjustment steps of this embodiment, when w / p is 0.45 or more and less than 0.55, the radius of curvature r and distance d are adjusted so that r / p is 0.4 or more and less than 1.5 and satisfies the above formula (21).

[0119] In the adjustment steps of this embodiment, when w / p is 0.55 or more and less than 0.65, the radius of curvature r and distance d are adjusted so that r / p is 0.45 or more and less than 1.5 and satisfies the above equation (22).

[0120] According to the manufacturing method of the display device 1 of this embodiment with the above adjustment steps, a display device 1 can be manufactured that satisfies both the requirement that the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20 is 150% or more and the minimum value m is 50% or more of the maximum value M.

[0121] Furthermore, various modifications can be made to the above-described embodiments. Hereinafter, an example of a modification will be described with reference to the drawings. In the following description and the drawings used in the following description, for parts that can be constructed in the same way as the corresponding parts in the above-described specific examples, the same symbols used in the specific examples will sometimes be used, and repeated explanations will be omitted. Also, when the effects that can be obtained in the above-described embodiments can obviously be obtained in the modified examples, their descriptions will sometimes be omitted.

[0122] (Variation Example 1) In the above embodiment, the display device 1 shown in FIG. 6, wherein the minimum value m is 50% or more of the maximum value M, has been described. However, the brightness condition of the display device 1 is not limited to this. In the brightness distribution shown in FIG. 6, the maximum value of the brightness in the range of -10° to +10° relative to the focusing direction of the optical sheet 20 (the angle θ relative to the front direction of the display device 1) is defined as M2. The maximum value M2 is equivalent to the maximum value of the brightness in the direction of the display device 1 perpendicular to the second direction d2 and in the direction of the focusing direction of the optical sheet 20, where the angle is -10° to +10°. Furthermore, in the brightness distribution shown in FIG. 6, the minimum value of the brightness in the range of -10° to +10° relative to the focusing direction of the optical sheet 20 (the angle θ relative to the front direction of the display device 1) is defined as m2. The minimum value m2 corresponds to the minimum brightness of the display device 1 in the direction perpendicular to the second direction d2 and at an angle of -10° or more and +10° or less relative to the focusing direction of the optical sheet 20. In this modified example, as a condition for the brightness of the display device 1, the minimum value m2 shown in FIG6 is determined to be at least 50% of the maximum value M2. Therefore, when viewed from the second direction d2, if the angle formed by the user's line of sight to the display device 1 relative to the focusing direction of the optical sheet 20 is -10° or more and +10° or less, the brightness in the direction in which the user visually perceives the display device 1 can be ensured.

[0123] By determining that the minimum value m2 is 50% or more of the maximum value M2, compared to determining that the minimum value m is 50% or more of the maximum value M as described in the above embodiment, the following effects can be obtained. When viewed from the second direction d2, if the angle formed between the user's line of sight to the display device 1 and the focusing direction of the optical sheet 20 is -10° or more and +10° or less, brightness in the direction in which the user views the display device 1 can be ensured. Therefore, brightness of the display device 1 can be ensured over a wider viewing angle. Furthermore, by determining that the minimum value m2 is 50% or more of the maximum value M2, compared to determining that the minimum value m is 50% or more of the maximum value M, the width of the peak value corresponding to the focusing direction of the optical sheet 20 is larger in the brightness distribution perpendicular to the second direction. Therefore, when the minimum value m2 is determined to be more than 50% of the maximum value M2, the brightness of the optical sheet 20 in the focusing direction is less likely to decrease when the position of the optical sheet 20 relative to the light-emitting substrate 10 deviates in the first direction d1. This reduces the required alignment precision when mounting the optical sheet 20 onto the light-emitting substrate 10.

[0124] Furthermore, in this modified example, similarly to the embodiment described above, the brightness of the display device 1 is determined to be at least 150% of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheets 20. The brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheets 20 can be the average value of the brightness within a range where the angle θ formed by the light-emitting substrate 10 in the state of non-overlapping optical sheets 20 relative to the front direction (normal direction d4) is -10° or more and +10° or less. That is, in Modified Example 1, the following conditions are determined for the brightness of the display device 1: the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheets 20, and the minimum value m2 is at least 50% of the maximum value M2. This results in the following effect: the brightness in the focusing direction of the optical sheet 20 is at least 150% of the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheets 20, thereby sufficiently increasing the brightness in the focusing direction of the optical sheet 20. Therefore, when a user views the display device 1 from the front, the brightness for visual recognition can be sufficiently increased. Furthermore, since the minimum value m is at least 50% of the maximum value M, the brightness in the direction where the angle formed relative to the focusing direction of the optical sheet 20 is -10° or more and +10° or less is at least 75% of the brightness of the light-emitting substrate 10 in a state where the brightness of the display device 1 does not overlap with the brightness of the optical sheet 20. Therefore, when a user views the display device 1 from the direction where the angle formed relative to the focusing direction of the optical sheet 20 is -10° or more and +10° or less, the brightness for visual recognition can be sufficiently increased. Based on the above, when a user views the display device 1 from the direction where the angle formed relative to the focusing direction of the optical sheet 20 is -10° or more and +10° or less, the viewability of the display device 1 can be sufficiently ensured. The display device 1 that satisfies the brightness conditions in the above-described Modification 1 is particularly suitable for use as a head-up display. The display device 1 that meets the brightness conditions in the above-described variation 1 is particularly suitable for use as a head-up display that projects images onto the windshield of a car.

[0125] The following explanation will focus on the values ​​of the radius of curvature r and distance d that satisfy the brightness condition in Modification 1, based on the w / p value. In particular, the explanation will focus on the values ​​of the radius of curvature r and distance d that satisfy the brightness condition in Modification 1 in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1.

[0126] When w / p is less than 0.025, it is ideal for at least one of the following to be true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (24). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 17] 1.18×r / p-0.29≦d / p≦1×r / p-0.02…Equation (23) 1.18×r / p-0.29≦d / p≦1.33×r / p+0.15…Equation (24)

[0127] Figure 18a is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation test, the refractive index of the optical sheet 20 was set to 1.50. Figure 18a specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.01. "1" in the table shown in Figure 18a means that the following conditions are met in the corresponding values ​​of r / p and d / p: the brightness of the display device 1 is more than 150% of the brightness of the light-emitting substrate 10 in the state of not overlapping optical sheet 20, and the minimum value m2 is more than 50% of the maximum value M2. For example, the column in the table where r / p is 0.2 and d / p is 0.1 is marked as "1". This means that the result of simulating the brightness distribution by determining the radius of curvature r and distance d such that r / p is 0.2 and d / p is 0.1 will satisfy the brightness condition of the above-described variation 1. The "0" in the table shown in Figure 18a means that at least one of the following is not satisfied in the corresponding r / p and d / p values: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is 50% or more of the maximum value M2. For example, the column in the table where r / p is 0.2 and d / p is 0.3 is marked as "0". This means that the result of simulating the brightness distribution by determining the radius of curvature r and distance d such that r / p is 0.2 and d / p is 0.3 does not satisfy the brightness condition of the above-described variation 1.

[0128] The test results shown in Figure 18a also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.525 and satisfies equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies equation (24).

[0129] When w / p is 0.025 or more and less than 0.15, it is ideal for at least one of the following to be true: r / p is 0.2 or more and less than 0.525 and satisfies equation (25) below, and r / p is 0.525 or more and less than 1.5 and satisfies equation (26) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 18] 1.18×r / p-0.29≦d / p≦1.14×r / p-0.04…Equation (25) 1.18×r / p-0.29≦d / p≦1.3×r / p+0.18…Equation (26)

[0130] Figure 18b is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 18b specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.05. The meanings of "1" and "0" in the table shown in Figure 18b are the same as those of "1" and "0" in the table shown in Figure 18a.

[0131] Figure 18c is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 18c specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.1. The meanings of "1" and "0" in the table shown in Figure 18c are the same as those of "1" and "0" in the table shown in Figure 18a.

[0132] The test results shown in Figures 18b and 18c also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.525 and satisfies equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies equation (26).

[0133] When w / p is 0.15 or more and less than 0.25, it is ideal that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (28). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 19] 1.18×r / p-0.29≦d / p≦-0.29×r / p+0.73… Equation (27) 1.18×r / p-0.29≦d / p≦1.29×r / p+0.28…Equation (28)

[0134] Figure 19 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 19 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.2. The meanings of "1" and "0" in the table shown in Figure 19 are the same as those of "1" and "0" in the table shown in Figure 18a.

[0135] The test results shown in Figure 19 also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.2 or more and less than 0.525 and satisfies equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies equation (28).

[0136] When w / p is 0.25 or more and less than 0.35, it is ideal for at least one of the following to be true: r / p is 0.25 or more and less than 0.425 and satisfies equation (29) below, and r / p is 0.425 or more and less than 1.5 and satisfies equation (30) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 20] 1.22×r / p-0.33≦d / p≦4.6×r / p-0.52…Equation (29) 1.22×r / p-0.33≦d / p≦1.23×r / p+0.38…Equation (30)

[0137] Figure 20 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 20 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.3. The meanings of "1" and "0" in the table shown in Figure 20 are the same as those of "1" and "0" in the table shown in Figure 18a.

[0138] The test results shown in Figure 20 also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.25 or more and less than 0.425 and satisfies equation (29), and r / p is 0.425 or more and less than 1.5 and satisfies equation (30).

[0139] When w / p is 0.35 or higher and less than 0.45, it is ideal for at least one of the following to be true: r / p is 0.3 or higher and less than 0.525 and satisfies equation (31) below, and r / p is 0.525 or higher and less than 1.5 and satisfies equation (32) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 21] 1.26×r / p-0.37≦d / p≦5.4×r / p-0.96…Equation (31) 1.26×r / p-0.37≦d / p≦0.77×r / p+1.08…Equation (32)

[0140] Figure 21 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 21 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.4. The meanings of "1" and "0" in the table shown in Figure 21 are the same as those of "1" and "0" in the table shown in Figure 18a.

[0141] The test results shown in Figure 21 also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.3 or more and less than 0.525 and satisfies equation (31), and r / p is 0.525 or more and less than 1.5 and satisfies equation (32).

[0142] When w / p is 0.45 or higher and less than 0.55, it is ideal for at least one of the following to be true: r / p is 0.4 or higher and less than 0.625 and satisfies equation (33) below, and r / p is 0.625 or higher and less than 1.5 and satisfies equation (34) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 22] 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (33) 1.28×r / p-0.39≦d / p≦0.4×r / p+1.77…Equation (34)

[0143] Figure 22 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 22 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 such that the value of w / p is 0.5. The meanings of "1" and "0" in the table shown in Figure 22 are the same as those of "1" and "0" in the table shown in Figure 18a.

[0144] The test results shown in Figure 22 also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.4 or more and less than 0.625 and satisfies equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies equation (34).

[0145] When w / p is 0.55 or higher and less than 0.65, it is ideal for at least one of the following to be true: r / p is 0.45 or higher and less than 0.625 and satisfies equation (35) below, and r / p is 0.625 or higher and less than 1.5 and satisfies equation (36) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 23] 1.38×r / p-0.45≦d / p≦7.6×r / p-2.44…Equation (35) 1.38×r / p-0.45≦d / p≦0.26×r / p+2.29… Equation (36)

[0146] Figure 23 is a table showing the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. Figure 23 specifically shows the experimental results of simulating the brightness distribution by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d after determining the spacing p and width w of the light-emitting parts 13 so that the value of w / p is 0.6. The meanings of "1" and "0" in the table shown in Figure 23 are the same as those of "1" and "0" in the table shown in Figure 18a.

[0147] The test results shown in Figure 23 also indicate that the brightness conditions of the above-mentioned variation 1 will be satisfied if at least one of the following conditions is met: r / p is 0.45 or more and less than 0.625 and satisfies equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies equation (36).

[0148] Next, an example of the manufacturing method of the display device 1 of Modified Example 1 will be described. The manufacturing method of the display device 1 of Modified Example 1 is the same as that of the display device 1 of the above embodiment, and includes an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p.

[0149] In the adjustment step of Modification Example 1, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (24).

[0150] In the adjustment step of Modification Example 1, when w / p is 0.025 or more and less than 0.15, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (26).

[0151] In the adjustment step of Modified Example 1, when w / p is 0.15 or more and less than 0.25, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (28).

[0152] In the adjustment step of Modification Example 1, when w / p is 0.25 or more and less than 0.35, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.25 or more and less than 0.425 and satisfies the above equation (29), and r / p is 0.425 or more and less than 1.5 and satisfies the above equation (30).

[0153] In the adjustment step of Modified Example 1, when w / p is 0.35 or more and less than 0.45, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.3 or more and less than 0.525 and satisfies the above equation (31), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (32).

[0154] In the adjustment step of Modification Example 1, when w / p is 0.45 or more and less than 0.55, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.4 or more and less than 0.625 and satisfies the above equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies the above equation (34).

[0155] In the adjustment step of Modification Example 1, when w / p is 0.55 or more and less than 0.65, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.45 or more and less than 0.625 and satisfies the above equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies the above equation (36).

[0156] According to the manufacturing method of the display device 1 of Modified Example 1 with the above adjustment steps, a display device 1 can be manufactured that satisfies both the requirement that the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20 is 150% or more, and that the minimum value m2 is 50% or more of the maximum value M2. In particular, it can be considered that the brightness condition of Modified Example 1 will be satisfied in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1. By adjusting the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 as shown in Modified Example 1, it is possible to set the brightness in the light-gathering direction to be larger while ensuring the brightness in the direction that forms an angle relative to the light-gathering direction.

[0157] (Variation Example 2) In the above embodiments and variations, a display device 1 is shown. The aforementioned display device 1 uses an optical sheet 20 to focus light emitted from the light-emitting substrate 10 in a direction perpendicular to the second direction d2 towards the front of the display device 1. However, the direction of light focusing in the display device 1 is not limited to this.

[0158] Figure 24a is a cross-sectional view of the display device 1 of Modified Example 2, perpendicular to the second direction d2. The line marked with the symbol L4 shown in Figure 24a is an example of the path of light emitted from the light-emitting portion 13 of the light-emitting substrate 10 in Modified Example 2 as it passes through the optical sheet 20.

[0159] In Modification 2, when viewed from the normal direction d4 toward the surface of the light-emitting substrate 10, the center C2 of a single unit lens 21 in the first direction d1 deviates from the center C1 of the light-emitting portion 13 of the unit region 10a forming the corresponding unit region second direction column 10c in the first direction d1. In Modification 2, the center C2 of each unit lens 21 in the first direction d1 deviates from the center C1 of the light-emitting portion 13 of the unit region 10a forming the corresponding unit region second direction column 10c in the first direction d1. This situation can also be understood as follows: In FIG. 24a, the center C2 of a single unit lens 21 in the first direction d1 and the center C1 of the light-emitting portion 13 of the unit region 10a forming the corresponding unit region second direction column 10c in the first direction d1 do not overlap in the normal direction d4.

[0160] In variation 2, since the center C2 deviates from the center C1 as described above, the light emitted from the light-emitting substrate 10, diffused in the direction perpendicular to the second direction d2, will be focused in the direction d3, which is perpendicular to the second direction d2 and forms an angle with respect to the front direction (normal direction d4) of the display device 1. The focusing direction d3 of the light emitted from the light-emitting substrate 10 can be adjusted by changing the magnitude of the deviation of the center C2 from the center C1 in the first direction d1. Figure 24b is a graph showing an example of the test results of simulating the brightness distribution in the direction perpendicular to the second direction d2 for the display device 1 shown in Figure 24a. In the simulation test, the refractive index of the optical sheet 20 was set to 1.50. The vertical axis of Figure 24b, marked with the symbol V, represents the brightness as a ratio to the average brightness, which is the average brightness of the light-emitting substrate 10 in the state without overlapping optical sheet 20 in the range of -5° to +5° with respect to the front direction (normal direction d4). The horizontal axis of Figure 24b represents the angle θ (°) formed by the direction of the observed brightness (as shown on the vertical axis) relative to the front direction (normal direction d4) of the display device 1. In Figure 24b, the light emitted from the light-emitting substrate 10 is focused in a direction d3 at an angle θ1 relative to the front direction. In other words, direction d3 is the focusing direction of the optical sheet 20.

[0161] Furthermore, in the example shown in FIG24a, the display device 1 further includes a light angle adjustment layer 70. The light angle adjustment layer 70 is located on the second surface 20b side of the optical sheet 20. In the example shown in FIG24a, the light angle adjustment layer 70 faces the second surface 20b of the optical sheet 20. The light angle adjustment layer 70 adjusts the angle of the light travel direction from the optical sheet 20 relative to the normal direction d4 toward the surface of the light-emitting substrate 10. As an example, the light angle adjustment layer 70 adjusts the angle of the light travel direction from the optical sheet 20 relative to the normal direction d4 so that the travel direction changes when viewed from the first direction d1. As an example of such a light angle adjustment layer 70, a light angle adjustment layer 70 may have the following function: focusing light emitted from the light-emitting substrate 10, passing through the optical sheet 20, and propagating in a direction perpendicular to the first direction d1, in a direction perpendicular to the surface of the light angle adjustment layer 70. By means of a light angle adjustment layer 70 like this, the direction of light traveled when viewed from the first direction d1 can be directed in a direction perpendicular to the surface of the light angle adjustment layer 70.

[0162] Furthermore, the way the light angle adjustment layer 70 adjusts the angle of the light's travel direction relative to the normal direction d4 is not limited to the above-described manner. The light angle adjustment layer 70 can also adjust the angle of the light's travel direction from the optical sheet 20 relative to the normal direction d4 to change the travel direction when viewed from the second direction d2. Also, the light angle adjustment layer 70 can adjust the angle of the light's travel direction from the optical sheet 20 relative to the normal direction d4 to change the travel direction when viewed from an angle intersecting the first direction d1 and the second direction d2. Furthermore, the display device 1 may also include a plurality of light angle adjustment layers 70, the aforementioned light angle adjustment layers 70 including a first light angle adjustment layer 70 and a second light angle adjustment layer 70. The aforementioned first light angle adjustment layer 70 adjusts the angle of the light travel direction relative to the normal direction d4 so that the travel direction changes when viewed from a certain direction. The aforementioned second light angle adjustment layer 70 adjusts the angle of the light travel direction relative to the normal direction d4 so that the travel direction changes when viewed from other directions intersecting a certain direction.

[0163] As an example, the light angle adjustment layer 70 is a venetian blind sheet. Specifically, the venetian blind sheet, which functions to focus light diffused in a direction perpendicular to the first direction d1 in a direction perpendicular to the surface of the light angle adjustment layer 70, will be described. In this case, the venetian blind sheet has a plurality of light-absorbing portions extending in the first direction d1 and a plurality of light-transmitting portions extending in the first direction d1. The light-absorbing portions and light-transmitting portions are arranged alternately in the second direction d2. The light-absorbing portions of the venetian blind sheet have an inclined surface, which is inclined relative to the normal direction d4, and can reflect light diffused in a direction perpendicular to the first direction d1 in a direction perpendicular to the surface of the light angle adjustment layer 70. In this case, since light that is not perpendicular to the second direction d2 is reflected by the inclined surface of the light-absorbing portion, the light can be focused in a direction perpendicular to the surface of the light angle adjustment layer 70.

[0164] In the display device 1, there may be situations where the direction in which the user visually perceives the display device 1 is not the front direction of the display device 1. Here, in Modification 2, the light emitted from the light-emitting substrate 10 is focused in a direction d3 that forms an angle relative to the front direction of the display device 1. In this way, even when the direction in which the user visually perceives the display device 1 is not the front direction of the display device 1, the direction d3 can still be aligned with that direction, thereby focusing the light in that direction.

[0165] The display device 1 of Modification 2 can be appropriately used as a head-up display. The display device 1 of Modification 2 is particularly suitable for use as a head-up display that projects images onto the windshield of a car. Hereinafter, the effects of using the display device 1 of Modification 2 as a head-up display that projects images onto the windshield of a car will be explained.

[0166] Figure 25 shows an example of how the display device 1 is used as a head-up display to project images onto the windshield 91 of a car 90. In Figure 25, the display device 1 is configured with its second direction d2 orthogonal to the longitudinal and vertical directions of the car 90. Figure 25 also shows the view of the display device 1 and the car 90 from the second direction d2. In Figure 25, the schematic diagrams of the components of the display device 1, such as the light-emitting substrate 10 and the optical sheet 20, are omitted; only the general shape of the display device 1 is shown. The line marked with the symbol L6 in Figure 25 represents an example of the intended path of the light emitted by the display device 1.

[0167] When the display device 1 is used as a head-up display for a car 90 as shown in Figure 25, it can be said that the user H visually recognizes the image displayed on the display device 1 through the windshield 91. In this case, the direction d6 of the imagined path L6 from the display device 1 to the windshield 91, where light from the display device 1 is reflected by the windshield 91 and reaches the user H's eyes, can be considered as the direction in which the user visually recognizes the display device 1. When the display device 1 is used as a head-up display for a car 90 as shown in Figure 25, the angle at which the display device 1 can be positioned is limited due to the limited space within the car 90. Furthermore, the angle of the windshield 91 from which the display device 1 projects images cannot be freely designed, even from the perspective of facilitating image projection by the display device 1.

[0168] Here, according to the display device 1 of Modified Example 2, even if the angle of the display device 1 or the angle of the front glass 91 is limited, the user H can still visually identify the image through the front glass 91 by adjusting the direction d3 of the light-emitting substrate 10 to focus the light.

[0169] Furthermore, when the display device 1, which focuses the light emitted from the light-emitting substrate 10, is used as a head-up display for a general automobile 90, it is also possible to prevent the light from the display device 1 from passing through the front glass 91 and directly reaching the eyes of the user H.

[0170] (Variation Example 3) In the above-described variation 2, a display device 1 was described in which the light emitted from the light-emitting substrate 10 is focused at an angle d3 relative to the front direction of the display device 1 by the center C2 deviating from the center C1. However, the form of the display device 1 that focuses the light emitted from the light-emitting substrate 10 at an angle relative to the front direction of the display device 1 is not limited to this.

[0171] Figure 26a is a cross-sectional view of the display device 1 of Modified Example 3, perpendicular to the second direction d2. The line marked with the symbol L5 shown in Figure 26a is an example of the path of light emitted from the light-emitting portion 13 of the light-emitting substrate 10 in Modified Example 3 as it passes through the optical sheet 20.

[0172] In Modification 3, the center C2 of the unit lens 21 in the first direction d1 deviates from the center C1 of the light-emitting portion 13 of the unit region 10a forming the corresponding unit region second direction column 10c in the first direction d1. As shown in FIG26a, the display device 1 of Modification 3 further includes a light-polarizing layer 80. The light-polarizing layer 80 faces the second surface 20b of the optical sheet 20. In the example shown in FIG26a, the light-polarizing layer 80 is located between the optical sheet 20 and the light angle adjustment layer 70.

[0173] The light-deflecting layer 80 deflects light from the optical sheet 20 in a direction that changes its direction of travel when viewed from the second direction d2. In the example shown in FIG26a, the light-deflecting layer 80 has a plurality of linear prisms 81 disposed in the first direction d1 and extending into the second direction d2. The linear prisms 81 have a first prism surface 82 that is inclined relative to the front direction (normal direction d4) of the display device 1, and a second prism surface 83 that is parallel to the front direction of the display device 1. In this case, the light-deflecting layer 80 refracts light from the optical sheet 20 at the first prism surface 82, thereby deflecting it in a direction that changes its direction of travel when viewed from the second direction d2.

[0174] In the display device 1 of Modified Example 3, the light emitted from the light-emitting substrate 10 and diffused in a direction perpendicular to the second direction d2 is first focused towards the front direction (normal direction d4) of the display device 1 by the optical sheet 20. Furthermore, the light focused towards the front direction of the display device 1 is deflected towards the direction d5 shown in FIG. 26a by the light-biasing layer 80. Similarly to the display device 1 of Modified Example 2, the light emitted from the light-emitting substrate 10 can be focused in a direction that forms an angle relative to the front direction of the display device 1 by the display device 1 of Modified Example 3. FIG. 26b is a graph showing an example of the experimental results of simulating the brightness distribution in a direction perpendicular to the second direction d2 for the display device 1 shown in FIG. 26a. In the simulation experiment, the refractive index of the optical sheet 20 was set to 1.50. The vertical axis of Figure 26b, marked with the symbol V, represents the brightness as a ratio to the average brightness value. This average brightness value is the average brightness of the light-emitting substrate 10 in its unoverlapping optical sheet 20 state within a range of -5° to +5° relative to the frontal direction (normal direction d4). The horizontal axis of Figure 26b represents the angle θ (°) relative to the frontal direction (normal direction d4) of the direction showing the observed brightness (as indicated by the vertical axis). In Figure 26b, the light emitted from the light-emitting substrate 10 is focused in a direction d5 at an angle θ2 relative to the frontal direction.

[0175] Furthermore, compared to the display device 1 of Modified Example 2, the display device 1 of Modified Example 3 does not require the light deflection layer 80, and has the advantage of focusing the light emitted from the light-emitting substrate 10 in a direction that forms an angle relative to the front direction of the display device 1.

[0176] On the other hand, in the display device 1 of Modified Example 2, as shown in FIG24a, the center C2 deviates from the center C1. Therefore, in the display device 1 of Modified Example 2, it can be considered that the light emitted from the light-emitting part 13 can more easily reach the unit lens 21 other than the unit lens 21 located in the front direction of the light-emitting part 13. Referring to FIG24b, which is equivalent to the experimental results simulating the brightness distribution in the display device 1 of Modified Example 2, the brightness is maximum at angle θ1 and maximum at angle θ3. The reason for the maximum brightness at angle θ3 can be considered as follows: the light emitted from the light-emitting part 13 and passing through the lens surface 21a of the unit lens 21 adjacent to the unit lens 21 located in the front direction of the light-emitting part 13 is focused in a direction with an angle of θ3 relative to the front direction. In this respect, the display device 1 of Modified Example 3 does not need to deviate the center C2 from the center C1. Therefore, compared to the display device 1 of Modified Example 2, the display device 1 of Modified Example 3 can suppress the light emitted from the light-emitting part 13 from reaching the unit lens 21 other than the unit lens 21 located in the front direction of the light-emitting part 13. Thus, as shown in FIG24b, it has the advantage of suppressing the light emitted from the light-emitting part 13 from focusing in a direction other than the desired direction.

[0177] (Variation Example 4) Modification 4 is an example determined from a different perspective than the above embodiments and modifications, based on the value of w / p and the conditions for the values ​​of the radius of curvature r and distance d that can satisfy the following conditions: the brightness of the display device 1 is more than 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is more than 50% of the maximum value M.

[0178] Hereinafter, in Modification Example 4, the conditions for the values ​​of the radius of curvature r and distance d that satisfy the following conditions will be explained based on the w / p value: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the aforementioned minimum value m is 50% or more of the maximum value M. In particular, a modification example will be explained for the conditions for the values ​​of the radius of curvature r and distance d that satisfy the above brightness conditions in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1.

[0179] When w / p is 0.01 or higher and less than 0.05, it is ideal for at least one of the following to be true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (37); r / p is 0.525 or higher and less than 0.975 and satisfies equation (38); r / p is 0.975 or higher and less than 1.5 and satisfies equation (39); r / p is 0.2 or higher and less than 0.525 and satisfies equation (40); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (41). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 24] 0.21×r / p+0.01≦d / p≦1×r / p-0.02…Equation (37) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (38) 1.09×r / p-0.18≦d / p≦1.53×r / p+0.3…Equation (39) 2.43×r / p+0.05≦d / p≦3.57×r / p-0.21…Equation (40) 4.57×r / p-0.89≦d / p≦4×r / p-0.3…Equation (41)

[0180] Figure 27 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment showing the results in Figure 27, the values ​​of the refractive index and w / p of the optical sheet 20 are simulated based on four conditions, from conditions 1 to 4. In the simulation experiment showing the results in Figure 27, conditions 1 to 4 are determined as follows. In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the value of w / p is 0.01. Then, the brightness distribution is simulated by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.01. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In the table shown in Figure 27, "1" indicates that, for the corresponding r / p and d / p values, the following conditions are met in any of the first to fourth conditions: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is 50% or more of the maximum value M. For example, the column in the table where r / p is 0.2 and d / p is 0.1 is marked as "1". This means that, based on the first to fourth conditions, the radius of curvature r and distance d are determined such that r / p is 0.2 and d / p is 0.1, and the brightness distribution is simulated, and the above brightness condition is met in any of the first to fourth conditions. In the table shown in Figure 27, "0" indicates that at least one of the following conditions is not met in the corresponding r / p and d / p values: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m is 50% or more of the maximum value M. For example, the column in the table where r / p is 0.2 and d / p is 0.2 is marked as "0".This refers to the result of simulating the brightness distribution based on conditions 1-4, where the radius of curvature r and distance d are determined such that r / p is 0.2 and d / p is 0.2. At least one of conditions 1-4 does not satisfy the aforementioned brightness condition.

[0181] The test results shown in Figure 27 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (37); r / p is 0.525 or higher and less than 0.975 and satisfies equation (38); r / p is 0.975 or higher and less than 1.5 and satisfies equation (39); r / p is 0.2 or higher and less than 0.525 and satisfies equation (40); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (41).

[0182] In particular, the inventors of this invention discovered the following tendency from the results of simulation experiments. When the values ​​of w / p, r / p, and d / p are fixed, assuming the refractive index of the optical sheet 20 is A1 and A2, the aforementioned brightness condition can be satisfied. In this case, when the refractive index of the optical sheet 20 is A3 (above A1 and below A2), the aforementioned brightness condition tends to be satisfied as well. Furthermore, the inventors of this invention discovered the following tendency from the results of simulation experiments. When the values ​​of the refractive index, r / p, and d / p of the optical sheet 20 are fixed, assuming w / p is B1 and B2, the aforementioned brightness condition will be satisfied. In this case, when w / p is B3 (above B1 and below B2), the aforementioned brightness condition tends to be satisfied as well. Based on the above tendency, from Figure 27 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.01 or more and less than 0.05, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (37), r / p is 0.525 or more and less than 0.975 and satisfies equation (38), r / p is 0.975 or more and less than 1.5 and satisfies equation (39), r / p is 0.2 or more and less than 0.525 and satisfies equation (40), and r / p is 0.525 or more and less than 0.975 and satisfies equation (41).

[0183] When w / p is 0.05 or higher and less than 0.1, it is ideal for at least one of the following to be true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (42); r / p is 0.525 or higher and less than 0.975 and satisfies equation (43); r / p is 0.975 or higher and less than 1.5 and satisfies equation (44); r / p is 0.2 or higher and less than 0.525 and satisfies equation (45); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (46). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 25] 0.21×r / p+0.01≦d / p≦0.79×r / p+0.11…Equation (42) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (43) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.27… Equation (44) 2.57×r / p-0.01≦d / p≦3.43×r / p-0.17…Equation (45) 4.77×r / p-1.04≦d / p≦4.13×r / p-0.41…Equation (46)

[0184] Figure 28 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 28, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment shown in Figure 27. In the simulation experiment shown in Figure 28, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.05. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 28 are the same as those of "1" and "0" in the table shown in Figure 27.

[0185] The test results shown in Figure 28 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (42); r / p is 0.525 or higher and less than 0.975 and satisfies equation (43); r / p is 0.975 or higher and less than 1.5 and satisfies equation (44); r / p is 0.2 or higher and less than 0.525 and satisfies equation (45); and r / p is 0.525 or higher and less than 0.975 and satisfies equation (46).

[0186] In particular, from Figure 28 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.05 or more and less than 0.1, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (42), r / p is 0.525 or more and less than 0.975 and satisfies equation (43), r / p is 0.975 or more and less than 1.5 and satisfies equation (44), r / p is 0.2 or more and less than 0.525 and satisfies equation (45), and r / p is 0.525 or more and less than 0.975 and satisfies equation (46).

[0187] When w / p is 0.1 or higher and less than 0.2, it is ideal for at least one of the following to be true: r / p is 0.2 or higher and less than 0.375 and satisfies equation (47); r / p is 0.375 or higher and less than 0.975 and satisfies equation (48); r / p is 0.975 or higher and less than 1.5 and satisfies equation (49); and r / p is 0.375 or higher and less than 0.975 and satisfies equation (50). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 26] 0.6×r / p-0.09≦d / p≦4×r / p-0.4…Equation (47) 1.53×r / p-0.56≦d / p≦2.27×r / p-0.35… Equation (48) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.28…Equation (49) 4.79×r / p-1.09≦d / p≦4.41×r / p-0.64…Equation (50)

[0188] Figure 29 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 29, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p value of the optical sheet 20, similar to the simulation experiment shown in Figure 27. In the simulation experiment shown in Figure 29, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.1. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 29 are the same as those of "1" and "0" in the table shown in Figure 27.

[0189] The test results shown in Figure 29 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.375 and satisfies equation (47); r / p is 0.375 or higher and less than 0.975 and satisfies equation (48); r / p is 0.975 or higher and less than 1.5 and satisfies equation (49); and r / p is 0.375 or higher and less than 0.975 and satisfies equation (50).

[0190] In particular, from Figure 29 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.1 or more and less than 0.2, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies equation (47); r / p is 0.375 or more and less than 0.975 and satisfies equation (48); r / p is 0.975 or more and less than 1.5 and satisfies equation (49); r / p is 0.375 or more and less than 0.975 and satisfies equation (50).

[0191] When w / p is 0.2 or higher and less than 0.3, it is ideal for at least one of the following to be true: r / p is 0.25 or higher and less than 0.725 and satisfies equation (51); r / p is 0.725 or higher and less than 0.975 and satisfies equation (52); r / p is 0.975 or higher and less than 1.5 and satisfies equation (53); and r / p is 0.725 or higher and less than 0.975 and satisfies equation (54). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 27] 1.03×r / p-0.26≦d / p≦4.39×r / p-0.64…Equation (51) 1.4×r / p-0.45≦d / p≦0.4×r / p+1.58…Equation (52) 1.15×r / p-0.24≦d / p≦1.49×r / p+0.54… Equation (53) 5.6×r / p-1.84≦d / p≦4×r / p-0.3…Equation (54)

[0192] Figure 30 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 30, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment shown in Figure 27. In the simulation experiment shown in Figure 30, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.2. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 30 are the same as those of "1" and "0" in the table shown in Figure 27.

[0193] The test results shown in Figure 30 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.25 or higher and less than 0.725 and satisfies equation (51); r / p is 0.725 or higher and less than 0.975 and satisfies equation (52); r / p is 0.975 or higher and less than 1.5 and satisfies equation (53); and r / p is 0.725 or higher and less than 0.975 and satisfies equation (54).

[0194] In particular, from Figure 30 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or higher and 1.60 or lower and the w / p value is 0.2 or higher and less than 0.3, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.25 or higher and less than 0.725 and satisfies equation (51); r / p is 0.725 or higher and less than 0.975 and satisfies equation (52); r / p is 0.975 or higher and less than 1.5 and satisfies equation (53); r / p is 0.725 or higher and less than 0.975 and satisfies equation (54).

[0195] When w / p is 0.3 or higher and less than 0.4, it is ideal for at least one of the following to be true: r / p is 0.35 or higher and less than 0.975 and satisfies equation (55), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (56). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 28] 1.45×r / p-0.5≦d / p≦4.45×r / p-0.77…Equation (55) 1.16×r / p-0.25≦d / p≦0.35×r / p+2.51…Equation (56)

[0196] Figure 31 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment showing the results in Figure 31, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment showing the results in Figure 27. In the simulation experiment showing the results in Figure 31, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.3. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 31 are the same as those of "1" and "0" in the table shown in Figure 27.

[0197] The test results shown in Figure 31 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.35 or higher and less than 0.975 and satisfies equation (55), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (56).

[0198] In particular, from Figure 31 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or higher and 1.60 or lower and the w / p value is 0.3 or higher and less than 0.4, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.35 or higher and less than 0.975 and satisfies equation (55), and r / p is 0.975 or higher and less than 1.5 and satisfies equation (56).

[0199] When w / p is 0.4 or higher and less than 0.5, it is ideal for at least one of the following to be true: r / p is 0.4 or higher and less than 0.675 and satisfies equation (57), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (58). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m and the maximum value M are at least 50% of each other. [Mathematical Expression 29] 1.77×r / p-0.68≦d / p≦5.43×r / p-1.43…Equation (57) 1.13×r / p-0.22≦d / p≦3.23×r / p+0.13… Equation (58)

[0200] Figure 32 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment showing the results in Figure 32, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment showing the results in Figure 27. In the simulation experiment showing the results in Figure 32, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.4. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 32 are the same as those of "1" and "0" in the table shown in Figure 27.

[0201] The test results shown in Figure 32 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.4 or higher and less than 0.675 and satisfies equation (57), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (58).

[0202] In particular, from Figure 32 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.4 or more and less than 0.5, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies equation (57), and r / p is 0.675 or more and less than 1.5 and satisfies equation (58).

[0203] When w / p is 0.5 or more and less than 0.6, it is ideal for at least one of the following to be true: r / p is 0.5 or more and less than 0.675 and satisfies equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies equation (60). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and both the minimum value m is at least 50% of the maximum value M. [Mathematical Expression 30] 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (59) 1.27×r / p-0.33≦d / p≦3.3×r / p-0.06…Equation (60)

[0204] Figure 33 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 33, except for the points explained below, the brightness distribution is simulated based on four conditions (1-4) regarding the refractive index and w / p value of the optical sheet 20, similar to the simulation experiment shown in Figure 27. In the simulation experiment shown in Figure 33, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.5. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.6. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.6. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 33 are the same as those of "1" and "0" in the table shown in Figure 27.

[0205] The test results shown in Figure 33 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.5 or more and less than 0.675 and satisfies equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies equation (60).

[0206] In particular, from Figure 33 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.5 or more and less than 0.6, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies equation (60).

[0207] Next, an example of the manufacturing method of the display device 1 in Modified Example 4 will be described. The manufacturing method of the display device 1 in Modified Example 4 is similar to that of the display device 1 in the above embodiments and modified examples, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p.

[0208] In the adjustment step of variation example 4, when w / p is 0.01 or more and less than 0.05, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (37); r / p is 0.525 or more and less than 0.975 and satisfies the above equation (38); r / p is 0.975 or more and less than 1.5 and satisfies the above equation (39); r / p is 0.2 or more and less than 0.525 and satisfies the above equation (40); and r / p is 0.525 or more and less than 0.975 and satisfies the above equation (41).

[0209] In the adjustment step of variation example 4, when w / p is 0.05 or more and less than 0.1, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (42); r / p is 0.525 or more and less than 0.975 and satisfies the above equation (43); r / p is 0.975 or more and less than 1.5 and satisfies the above equation (44); r / p is 0.2 or more and less than 0.525 and satisfies the above equation (45); and r / p is 0.525 or more and less than 0.975 and satisfies the above equation (46).

[0210] In the adjustment step of variation example 4, when w / p is 0.1 or more and less than 0.2, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies the above equation (47), r / p is 0.375 or more and less than 0.975 and satisfies the above equation (48), r / p is 0.975 or more and less than 1.5 and satisfies the above equation (49), and r / p is 0.375 or more and less than 0.975 and satisfies the above equation (50).

[0211] In the adjustment step of variation example 4, when w / p is 0.2 or more and less than 0.3, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.25 or more and less than 0.725 and satisfies the above equation (51), r / p is 0.725 or more and less than 0.975 and satisfies the above equation (52), r / p is 0.975 or more and less than 1.5 and satisfies the above equation (53), and r / p is 0.725 or more and less than 0.975 and satisfies the above equation (54).

[0212] In the adjustment step of variation example 4, when w / p is 0.3 or more and less than 0.4, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.35 or more and less than 0.975 and satisfies the above equation (55), and r / p is 0.975 or more and less than 1.5 and satisfies the above equation (56).

[0213] In the adjustment step of variation 4, when w / p is 0.4 or more and less than 0.5, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the above equation (57), and r / p is 0.675 or more and less than 1.5 and satisfies the above equation (58).

[0214] In the adjustment step of variation 4, when w / p is 0.5 or more and less than 0.6, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies the above equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies the above equation (60).

[0215] According to the manufacturing method of the display device 1 of Modified Example 4 with the above adjustment steps, a display device 1 can be manufactured that satisfies both the requirement that the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20 is 150% or more, and that the minimum value m is 50% or more of the maximum value M. In particular, it can be considered that the brightness conditions of Modified Example 4 will be satisfied in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1. By adjusting the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 as shown in Modified Example 4, the brightness in the light-gathering direction can be set to be larger, while ensuring the brightness in the direction that forms an angle relative to the light-gathering direction.

[0216] (Variation Example 5) Modification 5 is an example determined from a different perspective than the above embodiments and modifications, based on the value of w / p and the conditions for the values ​​of the radius of curvature r and distance d that can satisfy the following conditions: the brightness of the display device 1 is more than 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is more than 50% of the maximum value M2.

[0217] Hereinafter, in Modification Example 5, the conditions for the values ​​of the radius of curvature r and distance d that satisfy the following conditions will be explained based on the w / p value: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is 50% or more of the maximum value M2. In particular, a modification example will be explained for the conditions for the values ​​of the radius of curvature r and distance d that satisfy the above brightness conditions in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1.

[0218] When w / p is 0.01 or more and less than 0.05, it is ideal that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (61) below, and r / p is 0.525 or more and less than 1.5 and satisfies equation (62) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 31] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (61) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.13… Equation (62)

[0219] Figure 34 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 34, the values ​​of the refractive index and w / p of the optical sheet 20 are simulated based on four conditions, from conditions 1 to 4. In the simulation experiment shown in Figure 34, conditions 1 to 4 are determined as follows. In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the value of w / p is 0.01. Then, the brightness distribution is simulated by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.01. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In the table shown in Figure 34, "1" indicates that, for the corresponding r / p and d / p values, the following conditions are met in any of the first to fourth conditions: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is 50% or more of the maximum value M2. For example, the column in the table where r / p is 0.2 and d / p is 0.1 is marked as "1". This means that, based on the first to fourth conditions, the radius of curvature r and distance d are determined such that r / p is 0.2 and d / p is 0.1, and the brightness distribution is simulated, and the above brightness condition is met in any of the first to fourth conditions. In the table shown in Figure 34, "0" indicates that at least one of the following conditions is not met in the corresponding r / p and d / p values: the brightness of the display device 1 is 150% or more of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is 50% or more of the maximum value M2. For example, the column in the table where r / p is 0.2 and d / p is 0.2 is marked as "0".This refers to the result of simulating the brightness distribution based on conditions 1-4, where the radius of curvature r and distance d are determined such that r / p is 0.2 and d / p is 0.2. At least one of conditions 1-4 does not satisfy the aforementioned brightness condition.

[0220] The test results shown in Figure 34 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (61), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (62).

[0221] In particular, from Figure 34 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.01 or more and less than 0.05, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (61), and r / p is 0.525 or more and less than 1.5 and satisfies equation (62).

[0222] When w / p is 0.05 or more and less than 0.1, it is ideal for at least one of the following to be true: r / p is 0.2 or more and less than 0.525 and satisfies the following formula (63), and r / p is 0.525 or more and less than 1.5 and satisfies the following formula (64). In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 32] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (63) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (64)

[0223] Figure 35 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 35, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment shown in Figure 34. In the simulation experiment shown in Figure 35, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.05. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.05. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 35 are the same as those of "1" and "0" in the table shown in Figure 34.

[0224] The test results shown in Figure 35 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (63), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (64).

[0225] In particular, from Figure 35 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.05 or more and less than 0.1, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (63), and r / p is 0.525 or more and less than 1.5 and satisfies equation (64).

[0226] When w / p is 0.1 or more and less than 0.2, it is ideal for at least one of the following to be true: r / p is 0.2 or more and less than 0.525 and satisfies equation (65) below, and r / p is 0.525 or more and less than 1.5 and satisfies equation (66) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 33] 0.21×r / p+0.01≦d / p≦0.71×r / p+0.05…Equation (65) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14… Equation (66)

[0227] Figure 36 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 36, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p value of the optical sheet 20, similar to the simulation experiment shown in Figure 34. In the simulation experiment shown in Figure 36, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.1. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.1. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 36 are the same as those of "1" and "0" in the table shown in Figure 34.

[0228] The test results shown in Figure 36 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.2 or higher and less than 0.525 and satisfies equation (65), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (66).

[0229] In particular, from Figure 36 showing whether the above brightness conditions are met based on conditions 1-4, we can understand the following situation: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.1 or more and less than 0.2, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (65), and r / p is 0.525 or more and less than 1.5 and satisfies equation (66).

[0230] When w / p is 0.2 or higher and less than 0.3, it is ideal for at least one of the following to be true: r / p is 0.25 or higher and less than 0.525 and satisfies equation (67) below, and r / p is 0.525 or higher and less than 1.5 and satisfies equation (68) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 34] 0.29×r / p-0.05≦d / p≦-0.23×r / p+0.62…Equation (67) 1.2×r / p-0.3≦d / p≦1.2×r / p+0.21…Equation (68)

[0231] Figure 37 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2 for the display device 1 shown in Figures 1 to 5, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set. In the simulation experiment showing the results in Figure 37, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index of the optical sheet 20 and the value of w / p, similar to the simulation experiment showing the results in Figure 34. In the simulation experiment showing the results in Figure 37, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the value of w / p is 0.2. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by changing the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.2. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 37 are the same as those of "1" and "0" in the table shown in Figure 34.

[0232] The test results shown in Figure 37 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.25 or higher and less than 0.525 and satisfies equation (67), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (68).

[0233] In particular, from Figure 37 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or higher and 1.60 or lower and the w / p value is 0.2 or higher and less than 0.3, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.25 or higher and less than 0.525 and satisfies equation (67), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (68).

[0234] When w / p is 0.3 or higher and less than 0.4, it is ideal for at least one of the following to be true: r / p is 0.35 or higher and less than 0.675 and satisfies equation (69) below, and r / p is 0.675 or higher and less than 1.5 and satisfies equation (70) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 35] 1.43×r / p-0.49≦d / p≦1.07×r / p+0.45… Equation (69) 1.19×r / p-0.28≦d / p≦1×r / p+0.5…Equation (70)

[0235] Figure 38 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 38, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p value of the optical sheet 20, similar to the simulation experiment shown in Figure 34. In the simulation experiment shown in Figure 38, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.3. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.3. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 38 are the same as those of "1" and "0" in the table shown in Figure 34.

[0236] The test results shown in Figure 38 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.35 or higher and less than 0.675 and satisfies equation (69), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (70).

[0237] In particular, from Figure 38 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or higher and 1.60 or lower and the w / p value is 0.3 or higher and less than 0.4, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.35 or higher and less than 0.675 and satisfies equation (69), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (70).

[0238] When w / p is 0.4 or higher and less than 0.5, it is ideal for at least one of the following to be true: r / p is 0.4 or higher and less than 0.675 and satisfies equation (71) below, and r / p is 0.675 or higher and less than 1.5 and satisfies equation (72) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 36] 1.77×r / p-0.68≦d / p≦2.86×r / p-0.23… Equation (71) 1.15×r / p-0.23≦d / p≦0.64×r / p+1.13…Equation (72)

[0239] Figure 39 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 39, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p value of the optical sheet 20, similar to the simulation experiment shown in Figure 34. In the simulation experiment shown in Figure 38, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.4. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.4. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the w / p value was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 39 are the same as those of "1" and "0" in the table shown in Figure 34.

[0240] The test results shown in Figure 39 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.4 or higher and less than 0.675 and satisfies equation (71), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (72).

[0241] In particular, from Figure 39 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.4 or more and less than 0.5, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies equation (71), and r / p is 0.675 or more and less than 1.5 and satisfies equation (72).

[0242] When w / p is 0.5 or more and less than 0.6, it is ideal for at least one of the following to be true: r / p is 0.5 or more and less than 0.675 and satisfies equation (73) below, and r / p is 0.675 or more and less than 1.5 and satisfies equation (74) below. In this way, the brightness of the display device 1 is at least 150% of the brightness of the light-emitting substrate 10 in the state of the non-overlapping optical sheet 20, and the minimum value m2 is at least 50% of the maximum value M2, both of which can be satisfied. [Mathematical Expression 37] 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (73) 1.27×r / p-0.33≦d / p≦0.35×r / p+1.78… Equation (74)

[0243] Figure 40 is a table showing the experimental results of simulating the brightness distribution in the direction perpendicular to the second direction d2, with the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 set for the display device 1 shown in Figures 1 to 5. In the simulation experiment shown in Figure 40, except for the points explained below, the brightness distribution is simulated based on four conditions (conditions 1-4) regarding the refractive index and w / p values ​​of the optical sheet 20, similar to the simulation experiment shown in Figure 34. In the simulation experiment shown in Figure 40, conditions 1-4 are determined as follows: In condition 1, the refractive index of the optical sheet 20 is set to 1.50, and the spacing p and width w of the light-emitting parts 13 are determined such that the w / p value is 0.5. The brightness distribution is then simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 2, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.5. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 3, the refractive index of the optical sheet 20 was set to 1.50, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.6. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. In condition 4, the refractive index of the optical sheet 20 was set to 1.60, and the spacing p and width w of the light-emitting parts 13 were determined such that the value of w / p was 0.6. The brightness distribution was simulated by changing the values ​​of r / p and d / p by varying the radius of curvature r and distance d. The meanings of "1" and "0" in the table shown in Figure 40 are the same as those of "1" and "0" in the table shown in Figure 34.

[0244] The test results shown in Figure 40 also indicate that the above brightness conditions will be met if at least one of the following conditions is met: r / p is 0.5 or more and less than 0.675 and satisfies equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies equation (74).

[0245] In particular, from Figure 40 showing whether the above brightness conditions are met based on conditions 1-4, the following situation can be understood: when the refractive index of the optical sheet 20 is 1.50 or more and 1.60 or less and the w / p value is 0.5 or more and less than 0.6, the above brightness conditions can be stably met if at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies equation (74).

[0246] Next, an example of the manufacturing method of the display device 1 in Modified Example 5 will be described. The manufacturing method of the display device 1 in Modified Example 5 is similar to that of the display device 1 in the above embodiments and modified examples, and includes an adjustment step for adjusting the radius of curvature r and the distance d according to the value of w / p.

[0247] In the adjustment step of variation 5, when w / p is 0.01 or more and less than 0.05, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (61), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (62).

[0248] In the adjustment step of variation 5, when w / p is 0.05 or more and less than 0.1, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (63), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (64).

[0249] In the adjustment step of variation 5, when w / p is 0.1 or more and less than 0.2, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the above equation (65), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (66).

[0250] In the adjustment step of variation 5, when w / p is 0.2 or more and less than 0.3, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.25 or more and less than 0.525 and satisfies the above equation (67), and r / p is 0.525 or more and less than 1.5 and satisfies the above equation (68).

[0251] In the adjustment step of variation 5, when w / p is 0.3 or more and less than 0.4, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.35 or more and less than 0.675 and satisfies the above equation (69), and r / p is 0.675 or more and less than 1.5 and satisfies the above equation (70).

[0252] In the adjustment step of variation 5, when w / p is 0.4 or more and less than 0.5, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the above equation (71), and r / p is 0.675 or more and less than 1.5 and satisfies the above equation (72).

[0253] In the adjustment step of variation 5, when w / p is 0.5 or more and less than 0.6, the radius of curvature r and distance d are adjusted so that at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies the above equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies the above equation (74).

[0254] According to the manufacturing method of the display device 1 of Modified Example 5 with the above adjustment steps, a display device 1 can be manufactured that satisfies both the requirement that the brightness of the light-emitting substrate 10 in the state of non-overlapping optical sheet 20 is 150% or more, and that the minimum value m2 is 50% or more of the maximum value M2. In particular, it can be considered that the brightness conditions of Modified Example 5 will be satisfied in a display device 1 where the light-gathering direction of the optical sheet 20 is the front direction of the display device 1. By adjusting the spacing p, width w, radius of curvature r, and distance d of the light-emitting parts 13 as shown in Modified Example 5, the brightness in the light-gathering direction can be set to be larger, while ensuring the brightness in the direction that forms an angle relative to the light-gathering direction.

[0255] The multiple constituent elements disclosed in the above embodiments and variations can be appropriately combined as needed. Alternatively, several constituent elements can be deleted from all the constituent elements shown in the above embodiments and variations.

[0256] 1: Display device 10: Light-emitting substrate 10a: Unit area 10b: Unit Area Group 10c: Unit area, second direction column 11: Semiconductor layer 13: Light-emitting part 13R: First Light-Emitting Part 13G: Second Light-Emitting Part 13B: Third Light-Emitting Part 14: Active layer 15: Second semiconductor layer 17: Illuminated surface 20: Optical Sheets 20a:Side 1 20b: Page 2 21: Unit lens 21a: Lens surface 23: Ontology part 40: Sealing layer 50: Adhesive layer 60: Substrate layer 70: Light Angle Adjustment Layer (First Light Angle Adjustment Layer, Second Light Angle Adjustment Layer) 80: Light polarization layer 81: Linear Prism 82: First Prism 83: Second Prism 90: Cars 91: Front windshield C1, C2: Center d: distance d1: First direction d2: Second direction d3, d5, d6: Direction d4: Normal direction h: height H: User IV-IV: Line L1: Boundary L2: Dashed line L3, L4, L5: Light paths L6: Envisioned Path M, M2: Maximum value m, m2: minimum values p, p2: Spacing P1: Vertex r: radius of curvature V: Vertical axis w: width θ, θ1, θ2, θ3: Angles

Claims

1. An optical sheet disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction. The spacing between the light-emitting parts in the first direction is p, the width of the light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, the distance between the light-emitting parts and the unit lens is d, w / p is less than 0.025, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (1); r / p is 0.525 or more and less than 1.5 and satisfies the following equation (2); r / p is 0.2 or more and less than 0.525 and satisfies the following equation (3); r / p is 0.525 or more and less than 0.725 and satisfies the following equation (4); and r / p is 0.725 or more and less than 1.5 and satisfies the following equation (5). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.025 or more and less than 0.075, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (6); r / p is 0.525 or more and less than 1.5 and satisfies the following equation (7); r / p is 0.2 or more and less than 0.525 and satisfies the following equation (8); r / p is 0.525 or more and less than 0.725 and satisfies the following equation (9); r / p is 0.725 or more and less than 1.5 and satisfies the following equation (10). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.075 or more and less than 0.15, and at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies the following equation (11), r / p is 0.375 or more and less than 1.5 and satisfies the following equation (12), r / p is 0.2 or more and less than 0.725 and satisfies the following equation (13), and r / p is 0.725 or more and less than 1.5 and satisfies the following equation (14). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.15 or more and less than 0.25, and at least one of the following is true: r / p is 0.2 or more and less than 0.725 and satisfying the following equation (15), r / p is 0.725 or more and less than 1.5 and satisfying the following equation (16), and r / p is 0.2 or more and less than 1.5 and satisfying the following equation (17), or, the spacing of the aforementioned light-emitting parts in the aforementioned first direction is p, the width of the aforementioned light-emitting parts in the aforementioned first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.25 or more and less than 0.35, and at least one of the following is true: r / p is 0.25 or more and less than 0.975 and satisfying the following equation (18), and r / p is 0.975 or more and less than 1.5 and satisfying the following equation (19), Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.35 or more and less than 0.45, and r / p is 0.3 or more and less than 1.5 and satisfies the following equation (20); or, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.45 or more and less than 0.55, and r / p is 0.4 or more and less than 1.5 and satisfies the following equation (21). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.55 or more and less than 0.65, and r / p is 0.45 or more and less than 1.5 and satisfies the following equation (22): [Mathematical Equation 1] 1.18×r / p-0.29≦d / p≦1.36×r / p-0.05…Equation (1) 1.18×r / p-0.29≦d / p≦2.08×r / p-0.15…Equation (2) 2.43×r / p+0.05≦d / p≦4.64×r / p-0.3…Equation (3) 4.5×r / p-0.85≦d / p≦4.64×r / p-0.3…Equation (4) 4.5×r / p-0.85≦d / p≦1.2×r / p+2.46…Equation (5) 1.18×r / p-0.29≦d / p≦1.36×r / p…Equation (6) 1.18×r / p-0.29≦d / p≦2.05×r / p-0.03…Equation (7) 2.57×r / p-0.01≦d / p≦4.65×r / p-0.3…Equation (8) 4.67×r / p-0.98≦d / p≦4.65×r / p-0.3…Equation (9) 4.67×r / p-0.98≦d / p≦1.2×r / p+2.46…Equation (10) 1.18×r / p-0.29≦d / p≦4×r / p-0.1…Equation (11) 1.18×r / p-0.29≦d / p≦2.17×r / p-0.19…Equation (12) 4.79×r / p-1.09≦d / p≦5.07×r / p-0.58…Equation (13) 4.79×r / p-1.09≦d / p≦1.8×r / p+1.94…Equation (14) 1.18×r / p-0.29≦d / p≦4.84×r / p-0.45…Equation (15) 1.18×r / p-0.29≦d / p≦1.69×r / p+0.6…Equation (16) 5.6×r / p-1.84≦d / p≦1.8×r / p+1.94…Equation (17) 1.22×r / p-0.33≦d / p≦4.55×r / p-0.42…Equation (18) 1.22×r / p-0.33≦d / p≦1.04×r / p+1.78…Equation (19) 1.26×r / p-0.37≦d / p≦5.56×r / p-1.01…Equation (20) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (21) 1.38×r / p-0.45≦d / p≦5.8×r / p-1.48…Equation (22).

2. An optical sheet disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the spacing between the light-emitting portions in the first direction being p, the width of the light-emitting portions in the first direction being w, the radius of curvature of the lens surface of the unit lens being r, the distance between the light-emitting portion and the unit lens being d, w / p being less than 0.025, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (24). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.025 or more and less than 0.15, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (26). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.15 or more and less than 0.25, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (28). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.25 or more and less than 0.35, and at least one of the following is true: r / p is 0.25 or more and less than 0.425 and satisfies the following equation (29), and r / p is 0.425 or more and less than 1.5 and satisfies the following equation (30). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.35 or more and less than 0.45, and at least one of the following is true: r / p is 0.3 or more and less than 0.525 and satisfies the following equation (31), and r / p is 0.525 or more and less than 1.

5. And satisfy the following equation (32), or, the spacing of the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.45 or more and less than 0.55, and at least one of the following is true: r / p is 0.4 or more and less than 0.625 and satisfies the following equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (34). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.55 or more and less than 0.65, and at least one of the following holds true: r / p is 0.45 or more and less than 0.625 and satisfies the following equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (36), [Mathematical Equation 2] 1.18×r / p-0.29≦d / p≦1×r / p-0.02…Equation (23) 1.18×r / p-0.29≦d / p≦1.33×r / p+0.15…Equation (24) 1.18×r / p-0.29≦d / p≦1.14×r / p-0.04…Equation (25) 1.18×r / p-0.29≦d / p≦1.3×r / p+0.18…Equation (26) 1.18×r / p-0.29≦d / p≦-0.29×r / p+0.73…Equation (27) 1.18×r / p-0.29≦d / p≦1.29×r / p+0.28…Equation (28) 1.22×r / p-0.33≦d / p≦4.6×r / p-0.52…Equation (29) 1.22×r / p-0.33≦d / p≦1.23×r / p+0.38…Equation (30) 1.26×r / p-0.37≦d / p≦5.4×r / p-0.96…Equation (31) 1.26×r / p-0.37≦d / p≦0.77×r / p+1.08…Equation (32) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (33) 1.28×r / p-0.39≦d / p≦0.4×r / p+1.77…Equation (34) 1.38×r / p-0.45≦d / p≦7.6×r / p-2.44…Equation (35) 1.38×r / p-0.45≦d / p≦0.26×r / p+2.29…Equation (36) 3. An optical sheet disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction. The spacing between the light-emitting parts in the first direction is p, the width of the light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, the distance between the light-emitting parts and the unit lens is d, w / p is 0.01 or more and less than 0.05, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (37), r / p is 0.525 or more and less than 0.975 and satisfies equation (38), r / p is 0.975 or more and less than 1.5 and satisfies equation (39), r / p is 0.2 or more and less than 0.525 and satisfies equation (40), and r / p is 0.525 or more and less than 0.975 and satisfies equation (41). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.05 or more and less than 0.1, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (42), r / p is 0.525 or more and less than 0.975 and satisfies the following equation (43), r / p is 0.975 or more and less than 1.5 and satisfies the following equation (44), r / p is 0.2 or more and less than 0.525 and satisfies the following equation (45), and r / p is 0.525 or more and less than 0.975 and satisfies the following equation (46). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.1 or more and less than 0.2, and at least one of the following is true: r / p is 0.2 or more and less than 0.375 and satisfies the following equation (47), r / p is 0.375 or more and less than 0.975 and satisfies the following equation (48), r / p is 0.975 or more and less than 1.5 and satisfies the following equation (49), and r / p is 0.375 or more and less than 0.975 and satisfies the following equation (50). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.2 or more and less than 0.3, and at least one of the following is true: r / p is 0.The following conditions must be met: r / p is 25 or more and less than 0.725 and satisfies the following equation (51); r / p is 0.725 or more and less than 0.975 and satisfies the following equation (52); r / p is 0.975 or more and less than 1.5 and satisfies the following equation (53); and r / p is 0.725 or more and less than 0.975 and satisfies the following equation (54); or, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting part and the aforementioned unit lens is d, w / p is 0.3 or more and less than 0.4, and at least one of the following conditions must be met: r / p is 0.35 or more and less than 0.975 and satisfies the following equation (55); and r / p is 0.975 or more and less than 1.5 and satisfies the following equation (56). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.4 or more and less than 0.5, and at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the following equation (57), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (58). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.5 or more and less than 0.6, and at least one of the following is true: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (60). [Mathematical Formula 3] 0.21×r / p+0.01≦d / p≦1×r / p-0.02…Formula (37) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Formula (38) 1.09×r / p-0.18≦d / p≦1.53×r / p+0.3…Formula (39) 2.43×r / p+0.05≦d / p≦3.57×r / p-0.21…Formula (40) 4.57×r / p-0.89≦d / p≦4×r / p-0.3…Formula (41) 0.21×r / p+0.01≦d / p≦0.79×r / p+0.11…Equation (42) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (43) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.27…Equation (44) 2.57×r / p-0.01≦d / p≦3.43×r / p-0.17…Equation (45) 4.77×r / p-1.04≦d / p≦4.13×r / p-0.41…Equation (46) 0.6×r / p-0.09≦d / p≦4×r / p-0.4…Equation (47) 1.53×r / p-0.56≦d / p≦2.27×r / p-0.35…Equation (48) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.28…Equation (49) 4.79×r / p-1.09≦d / p≦4.41×r / p-0.64…Equation (50) 1.03×r / p-0.26≦d / p≦4.39×r / p-0.64…Equation (51) 1.4×r / p-0.45≦d / p≦0.4×r / p+1.58…Equation (52) 1.15×r / p-0.24≦d / p≦1.49×r / p+0.54…Equation (53) 5.6×r / p-1.84≦d / p≦4×r / p-0.3…Equation (54) 1.45×r / p-0.5≦d / p≦4.45×r / p-0.77…Equation (55) 1.16×r / p-0.25≦d / p≦0.35×r / p+2.51…Equation (56) 1.77×r / p-0.68≦d / p≦5.43×r / p-1.43…Equation (57) 1.13×r / p-0.22≦d / p≦3.23×r / p+0.13…Equation (58) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (59) 1.27×r / p-0.33≦d / p≦3.3×r / p-0.06…Equation (60) 4. An optical sheet disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the spacing between the light-emitting portions in the first direction being p, the width of the light-emitting portions in the first direction being w, the radius of curvature of the lens surface of the unit lens being r, the distance between the light-emitting portion and the unit lens being d, w / p being 0.01 or more and less than 0.05, and at least one of the following is true: r / p being 0.2 or more and less than 0.525 and satisfying the following formula (61), and r / p being 0.525 or more and less than 1.5 and satisfying the following formula (62). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.05 or more and less than 0.1, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (63), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (64). Alternatively, the spacing between the aforementioned light-emitting portions in the first direction is p, the width of the aforementioned light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting portion and the aforementioned unit lens is d, w / p is 0.1 or more and less than 0.2, and at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies the following equation (65), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (66). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.2 or more and less than 0.3, and at least one of the following is true: r / p is 0.25 or more and less than 0.525 and satisfies the following equation (67), and r / p is 0.525 or more and less than 1.5 and satisfies the following equation (68). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.3 or more and less than 0.4, and at least one of the following is true: r / p is 0.35 or more and less than 0.675 and satisfies the following equation (69), and r / p is 0.675 or more and less than 1.

5. And satisfy the following equation (70), or, the spacing of the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.4 or more and less than 0.5, and at least one of the following is true: r / p is 0.4 or more and less than 0.675 and satisfies the following equation (71), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (72). Alternatively, the spacing between the aforementioned light-emitting parts in the first direction is p, the width of the aforementioned light-emitting parts in the first direction is w, the radius of curvature of the lens surface of the aforementioned unit lens is r, the distance between the aforementioned light-emitting parts and the aforementioned unit lens is d, w / p is 0.5 or more and less than 0.6, and at least one of the following holds true: r / p is 0.5 or more and less than 0.675 and satisfies the following equation (73), and r / p is 0.675 or more and less than 1.5 and satisfies the following equation (74), [Mathematical Formula 4] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (61) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.13…Equation (62) 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (63) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14…Equation (64) 0.21×r / p+0.01≦d / p≦0.71×r / p+0.05…Equation (65) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14…Equation (66) 0.29×r / p-0.05≦d / p≦-0.23×r / p+0.62…Equation (67) 1.2×r / p-0.3≦d / p≦1.2×r / p+0.21…Equation (68) 1.43×r / p-0.49≦d / p≦1.07×r / p+0.45…Equation (69) 1.19×r / p-0.28≦d / p≦1×r / p+0.5…Equation (70) 1.77×r / p-0.68≦d / p≦2.86×r / p-0.23…Equation (71) 1.15×r / p-0.23≦d / p≦0.64×r / p+1.13…Equation (72) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (73) 1.27×r / p-0.33≦d / p≦0.35×r / p+1.78…Equation (74).

5. The optical sheet of any one of claims 1 to 4, wherein, in view from the normal direction toward the surface of the aforementioned light-emitting substrate, one of the aforementioned unit lenses corresponds to one of the unit regions arranged in the aforementioned second direction to form a second direction column of unit regions.

6. The optical sheet of claim 5, wherein, when viewed from the normal direction toward the surface of the aforementioned light-emitting substrate, the center of the aforementioned unit lens in the aforementioned first direction deviates from the center of the aforementioned light-emitting portion in the aforementioned first direction of the aforementioned unit region forming the corresponding unit region second direction column.

7. An optical sheet as claimed in any one of claims 1 to 4, wherein the optical sheet has a first surface facing the light-emitting substrate and a second surface located on the opposite side of the first surface, and further comprises a light-biasing layer, the light-biasing layer facing the second surface of the optical sheet, which biases the light from the optical sheet so that the direction of travel changes when viewed from the second direction.

8. An optical sheet as claimed in any one of claims 1 to 4, wherein the optical sheet has a first surface facing the light-emitting substrate and a second surface located on the opposite side of the first surface, and further comprises a light angle adjustment layer located on the second surface side of the optical sheet, which adjusts the angle of the direction of light travel from the optical sheet relative to the normal direction toward the surface of the light-emitting substrate.

9. For the optical sheet of claim 1 or 3, the minimum value m of the brightness in the range of -5° or more and +5° or less relative to the focusing direction of the aforementioned optical sheet is 50% or more of the maximum value M of the brightness in the range of -5° or more and +5° or less relative to the focusing direction of the aforementioned optical sheet.

10. The optical sheet of claim 2 or 4, wherein the minimum value m2 of the brightness in the range of -10° or more and +10° or less relative to the focusing direction of the aforementioned optical sheet is 50% or more of the maximum value M2 of the brightness in the range of -10° or more and +10° or less relative to the focusing direction of the aforementioned optical sheet.

11. A method for manufacturing an optical sheet, wherein the optical sheet is disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the method for manufacturing the optical sheet comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p, wherein the distance between the light-emitting portions in the first direction is p, the width of the light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, and the distance between the light-emitting portion and the unit lens is d, and comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted to satisfy at least one of the following: r / p is 0.2 or more and less than 0.525 and satisfies equation (1); r / p is 0.525 or more and less than 1.5 and satisfies equation (2); r / p is 0.2 or more and less than 0.525 and satisfies equation (3); r / p is 0.525 or more and less than 0.725 and satisfies equation (4); and r / p is 0.725 or more and less than 1.5 and satisfies equation (5). In the aforementioned adjustment steps, when w / p is 0.025 or higher and less than 0.075, the radius of curvature r and distance d are adjusted to satisfy at least one of the following: r / p is 0.2 or higher and less than 0.525 and satisfies equation (6); r / p is 0.525 or higher and less than 1.5 and satisfies equation (7); r / p is 0.2 or higher and less than 0.525 and satisfies equation (8); r / p is 0.525 or higher and less than 0.725 and satisfies equation (9); r / p is 0.725 or higher and less than 1.5 and satisfies equation (10). In the aforementioned adjustment steps, when w / p is 0.075 or higher and less than 0.15, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or higher and less than 0.375 and satisfies equation (11); r / p is 0.375 or higher and less than 1.5 and satisfies equation (12); r / p is 0.2 or higher and less than 0.725 and satisfies equation (13); and r / p is 0.725 or higher and less than 1.5 and satisfies equation (14). In the aforementioned adjustment steps, when w / p is 0.15 or higher and less than 0.25, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or higher and less than 0.725 and satisfies equation (15); r / p is 0.725 or higher and less than 1.5 and satisfies equation (16); and r / p is 0.2 or higher and less than 1.

5. And satisfying the following equation (17), In the aforementioned adjustment step, when w / p is 0.25 or more and less than 0.35, the radius of curvature r and distance d are adjusted such that at least one of the following holds: r / p is 0.25 or more and less than 0.975 and satisfies the following equation (18), and r / p is 0.975 or more and less than 1.5 and satisfies the following equation (19), In the aforementioned adjustment step, when w / p is 0.35 or more and less than 0.45, the radius of curvature r and distance d are adjusted such that r / p is 0.3 or more and less than 1.5 and satisfies the following equation (20), In the aforementioned adjustment step, when w / p is 0.45 or more and less than 0.55, the radius of curvature r and distance d are adjusted such that r / p is 0.4 or more and less than 1.5 and satisfies the following equation (21), In the aforementioned adjustment steps, when w / p is greater than or equal to 0.55 and less than 0.65, the radius of curvature r and distance d are adjusted so that r / p is greater than or equal to 0.45 and less than 1.5 and satisfies the following equation (22): [Mathematical Equation 5] 1.18×r / p-0.29≦d / p≦1.36×r / p-0.05…Equation (1) 1.18×r / p-0.29≦d / p≦2.08×r / p-0.15…Equation (2) 2.43×r / p+0.05≦d / p≦4.64×r / p-0.3…Equation (3) 4.5×r / p-0.85≦d / p≦4.64×r / p-0.3…Equation (4) 4.5×r / p-0.85≦d / p≦1.2×r / p+2.46…Equation (5) 1.18×r / p-0.29≦d / p≦1.36×r / p…Equation (6) 1.18×r / p-0.29≦d / p≦2.05×r / p-0.03…Equation (7) 2.57×r / p-0.01≦d / p≦4.65×r / p-0.3…Equation (8) 4.67×r / p-0.98≦d / p≦4.65×r / p-0.3…Equation (9) 4.67×r / p-0.98≦d / p≦1.2×r / p+2.46…Equation (10) 1.18×r / p-0.29≦d / p≦4×r / p-0.1…Equation (11) 1.18×r / p-0.29≦d / p≦2.17×r / p-0.19…Equation (12) 4.79×r / p-1.09≦d / p≦5.07×r / p-0.58…Equation (13) 4.79×r / p-1.09≦d / p≦1.8×r / p+1.94…Equation (14) 1.18×r / p-0.29≦d / p≦4.84×r / p-0.45…Equation (15) 1.18×r / p-0.29≦d / p≦1.69×r / p+0.6…Equation (16) 5.6×r / p-1.84≦d / p≦1.8×r / p+1.94…Equation (17) 1.22×r / p-0.33≦d / p≦4.55×r / p-0.42…Equation (18) 1.22×r / p-0.33≦d / p≦1.04×r / p+1.78…Equation (19) 1.26×r / p-0.37≦d / p≦5.56×r / p-1.01…Equation (20) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (21) 1.38×r / p-0.45≦d / p≦5.8×r / p-1.48…Equation (22).

12. A method for manufacturing an optical sheet, wherein the optical sheet is disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the method for manufacturing the optical sheet comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p, wherein the distance between the light-emitting portions in the first direction is p, the width of the light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, and the distance between the light-emitting portions and the unit lenses is d, and comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is less than 0.025, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (23), and r / p is 0.525 or more and less than 1.5 and satisfies equation (24). In the aforementioned adjustment steps, when w / p is 0.025 or more and less than 0.15, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (25), and r / p is 0.525 or more and less than 1.5 and satisfies equation (26). In the aforementioned adjustment steps, when w / p is 0.15 or more and less than 0.25, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (27), and r / p is 0.525 or more and less than 1.5 and satisfies equation (28). In the aforementioned adjustment steps, when w / p is 0.25 or more and less than 0.35, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.25 or more and less than 0.425 and satisfies equation (29), and r / p is 0.425 or more and less than 1.5 and satisfies equation (30). In the aforementioned adjustment steps, when w / p is 0.35 or more and less than 0.45, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.3 or more and less than 0.525 and satisfies equation (31), and r / p is 0.525 or more and less than 1.5 and satisfies equation (32). In the aforementioned adjustment steps, when w / p is 0.45 or more and less than 0.55, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.4 or more and less than 0.625 and satisfies equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies equation (34). In the aforementioned adjustment steps, when w / p is 0.55 or more and less than 0.45, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.4 or more and less than 0.625 and satisfies equation (33), and r / p is 0.625 or more and less than 1.5 and satisfies equation (34).In the case of 65, the radius of curvature r and distance d are adjusted to satisfy at least one of the following: r / p is 0.45 or more and less than 0.625 and satisfies the following equation (35), and r / p is 0.625 or more and less than 1.5 and satisfies the following equation (36), [Mathematical Equation 6] 1.18×r / p-0.29≦d / p≦1×r / p-0.02…Equation (23) 1.18×r / p-0.29≦d / p≦1.33×r / p+0.15…Equation (24) 1.18×r / p-0.29≦d / p≦1.14×r / p-0.04…Equation (25) 1.18×r / p-0.29≦d / p≦1.3×r / p+0.18…Equation (26) 1.18×r / p-0.29≦d / p≦-0.29×r / p+0.73…Equation (27) 1.18×r / p-0.29≦d / p≦1.29×r / p+0.28…Equation (28) 1.22×r / p-0.33≦d / p≦4.6×r / p-0.52…Equation (29) 1.22×r / p-0.33≦d / p≦1.23×r / p+0.38…Equation (30) 1.26×r / p-0.37≦d / p≦5.4×r / p-0.96…Equation (31) 1.26×r / p-0.37≦d / p≦0.77×r / p+1.08…Equation (32) 1.28×r / p-0.39≦d / p≦5.83×r / p-1.29…Equation (33) 1.28×r / p-0.39≦d / p≦0.4×r / p+1.77…Equation (34) 1.38×r / p-0.45≦d / p≦7.6×r / p-2.44…Equation (35) 1.38×r / p-0.45≦d / p≦0.26×r / p+2.29…Equation (36) 13. A method for manufacturing an optical sheet, wherein the optical sheet is disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the method for manufacturing the optical sheet comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p, wherein the distance between the light-emitting portions in the first direction is p, the width of the light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, and the distance between the light-emitting portion and the unit lens is d, and comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is 0.01 or more and less than 0.05, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (37); r / p is 0.525 or more and less than 0.975 and satisfies equation (38); r / p is 0.975 or more and less than 1.5 and satisfies equation (39); r / p is 0.2 or more and less than 0.525 and satisfies equation (40); and r / p is 0.525 or more and less than 0.975 and satisfies equation (41). When w / p is 0.05 or more and less than 0.1, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or more and less than 0.525 and satisfies equation (42); r / p is 0.525 or more and less than 0.975 and satisfies equation (43); r / p is 0.975 or more and less than 1.5 and satisfies equation (44); r / p is 0.2 or more and less than 0.525 and satisfies equation (45); and r / p is 0.525 or more and less than 0.975 and satisfies equation (46). When w / p is 0.1 or more and less than 0.2, the radius of curvature r and distance d are adjusted such that at least one of the following holds: r / p is 0.2 or more and less than 0.375 and satisfies equation (47); r / p is 0.375 or more and less than 0.975 and satisfies equation (48); r / p is 0.975 or more and less than 1.5 and satisfies equation (49); and r / p is 0.375 or more and less than 0.975 and satisfies equation (50). When w / p is 0.2 or higher and less than 0.3, the radius of curvature r and distance d are adjusted such that at least one of the following holds: r / p is 0.25 or higher and less than 0.725 and satisfies equation (51); r / p is 0.725 or higher and less than 0.975 and satisfies equation (52); r / p is 0.975 or higher and less than 1.5 and satisfies equation (53); and r / p is 0.When w / p is 0.3 or higher and less than 0.975 and satisfies the following equation (54), the radius of curvature r and distance d are adjusted to make at least one of the following true: r / p is 0.35 or higher and less than 0.975 and satisfies the following equation (55), and r / p is 0.975 or higher and less than 1.5 and satisfies the following equation (56). When w / p is 0.4 or higher and less than 0.5, the radius of curvature r and distance d are adjusted to make at least one of the following true: r / p is 0.4 or higher and less than 0.675 and satisfies the following equation (57), and r / p is 0.675 or higher and less than 1.5 and satisfies the following equation (58). When w / p is 0.5 or more and less than 0.6, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.5 or more and less than 0.675 and satisfies equation (59), and r / p is 0.675 or more and less than 1.5 and satisfies equation (60), [Mathematical Equation 7] 0.21×r / p+0.01≦d / p≦1×r / p-0.02…Equation (37) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (38) 1.09×r / p-0.18≦d / p≦1.53×r / p+0.3…Equation (39) 2.43×r / p+0.05≦d / p≦3.57×r / p-0.21…Equation (40) 4.57×r / p-0.89≦d / p≦4×r / p-0.3…Equation (41) 0.21×r / p+0.01≦d / p≦0.79×r / p+0.11…Equation (42) 1.4×r / p-0.45≦d / p≦2.23×r / p-0.4…Equation (43) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.27…Equation (44) 2.57×r / p-0.01≦d / p≦3.43×r / p-0.17…Equation (45) 4.77×r / p-1.04≦d / p≦4.13×r / p-0.41…Equation (46) 0.6×r / p-0.09≦d / p≦4×r / p-0.4…Equation (47) 1.53×r / p-0.56≦d / p≦2.27×r / p-0.35…Equation (48) 1.09×r / p-0.18≦d / p≦1.56×r / p+0.28…Equation (49) 4.79×r / p-1.09≦d / p≦4.41×r / p-0.64…Equation (50) 1.03×r / p-0.26≦d / p≦4.39×r / p-0.64…Equation (51) 1.4×r / p-0.45≦d / p≦0.4×r / p+1.58…Equation (52) 1.15×r / p-0.24≦d / p≦1.49×r / p+0.54…Equation (53) 5.6×r / p-1.84≦d / p≦4×r / p-0.3…Equation (54) 1.45×r / p-0.5≦d / p≦4.45×r / p-0.77…Equation (55) 1.16×r / p-0.25≦d / p≦0.35×r / p+2.51…Equation (56) 1.77×r / p-0.68≦d / p≦5.43×r / p-1.43…Equation (57) 1.13×r / p-0.22≦d / p≦3.23×r / p+0.13…Equation (58) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (59) 1.27×r / p-0.33≦d / p≦3.3×r / p-0.06…Equation (60).

14. A method for manufacturing an optical sheet, wherein the optical sheet is disposed facing a light-emitting substrate, the light-emitting substrate having a semiconductor layer divided into a plurality of unit regions and light-emitting portions disposed in the plurality of unit regions, the optical sheet having a plurality of unit lenses disposed in a first direction and extending in a second direction not parallel to the first direction, the plurality of unit regions being arranged in the first direction and the second direction, the method for manufacturing the optical sheet comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p, wherein the distance between the light-emitting portions in the first direction is p, the width of the light-emitting portions in the first direction is w, the radius of curvature of the lens surface of the unit lens is r, and the distance between the light-emitting portion and the unit lens is d, and comprising an adjustment step of adjusting the radius of curvature r and the distance d according to the value of w / p. In the aforementioned adjustment steps, when w / p is 0.01 or more and less than 0.05, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (61), and r / p is 0.525 or more and less than 1.5 and satisfies equation (62). When w / p is 0.05 or more and less than 0.1, the radius of curvature r and distance d are adjusted such that at least one of the following is true: r / p is 0.2 or more and less than 0.525 and satisfies equation (63), and r / p is 0.525 or more and less than 1.5 and satisfies equation (64). When w / p is 0.1 or higher and less than 0.2, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.2 or higher and less than 0.525 and satisfies equation (65), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (66). When w / p is 0.2 or higher and less than 0.3, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.25 or higher and less than 0.525 and satisfies equation (67), and r / p is 0.525 or higher and less than 1.5 and satisfies equation (68). When w / p is 0.3 or higher and less than 0.4, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.35 or higher and less than 0.675 and satisfies equation (69), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (70). When w / p is 0.4 or higher and less than 0.5, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.4 or higher and less than 0.675 and satisfies equation (71), and r / p is 0.675 or higher and less than 1.5 and satisfies equation (72). When w / p is 0.5 or higher and less than 0.6, the radius of curvature r and distance d are adjusted such that at least one of the following holds true: r / p is 0.5 or higher and less than 0.6.675 and satisfying the following equation (73), and r / p being greater than 0.675 and less than 1.5 and satisfying the following equation (74), [Mathematical Equation 8] 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (61) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.13…Equation (62) 0.21×r / p+0.02≦d / p≦1×r / p-0.08…Equation (63) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14…Equation (64) 0.21×r / p+0.01≦d / p≦0.71×r / p+0.05…Equation (65) 1.17×r / p-0.28≦d / p≦1.26×r / p+0.14…Equation (66) 0.29×r / p-0.05≦d / p≦-0.23×r / p+0.62…Equation (67) 1.2×r / p-0.3≦d / p≦1.2×r / p+0.21…Equation (68) 1.43×r / p-0.49≦d / p≦1.07×r / p+0.45…Equation (69) 1.19×r / p-0.28≦d / p≦1×r / p+0.5…Equation (70) 1.77×r / p-0.68≦d / p≦2.86×r / p-0.23…Equation (71) 1.15×r / p-0.23≦d / p≦0.64×r / p+1.13…Equation (72) 2.6×r / p-1.17≦d / p≦6.6×r / p-2.27…Equation (73) 1.27×r / p-0.33≦d / p≦0.35×r / p+1.78…Equation (74)

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