Light emitting device, lighting device and optical member

The lighting device uses a light-emitting device with a translucent optical member and independent light-emitting elements to electrically adjust light distribution angles, addressing the need for mechanical-free angle switching and enhancing reliability and aesthetics.

JP7607211B2Active Publication Date: 2024-12-27NICHIA CORP
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Patent Information

Application Number
JP2023206658
Authority / Receiving Office
JP · JP
Patent Type
Patents
Current Assignee / Owner
Filing Date
2023-12-07
Publication Date
2024-12-27
Estimated Expiration
2039-04-18

AI Technical Summary

Technical Problem

Existing lighting devices struggle to switch light distribution angles without mechanical means, necessitating a solution that allows for adjustable light distribution without mechanical components.

Method used

A lighting device comprising a light-emitting device with a light condenser, a translucent optical member featuring concave portions and light-guiding structures, and a cover member, which utilizes independent control of multiple light-emitting elements to adjust light distribution angles electrically.

Benefits of technology

Enables switching of light distribution angles without mechanical components, reducing device size, cost, and noise, while maintaining reliability and improving interior aesthetics, with the ability to achieve multiple light distribution levels.

✦ Generated by Eureka AI based on patent content.

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Patent Text Reader

Abstract

To provide a lighting device which enables a light distribution angle to be switched without using mechanical means, and to provide a light emitting device and an optical member used in the lighting device.SOLUTION: A light emitting device 1 includes: a light collection body 30; a first cylindrical body 40 which encloses the light collection body 30 and has light transmissivity and in which recessed parts 41a are formed at an end part 40e and each portion between the recessed parts 41a is a light guide part 42 or 43; one or more first light emitting elements 11 disposed at a position corresponding to the light collection body 30; and second light emitting elements 12 disposed at positions corresponding to the light guide parts 42 and 43.SELECTED DRAWING: Figure 3
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Description

[Technical field]

[0001] The embodiments relate to a light emitting device, an illumination device, and an optical member. [Background technology]

[0002] In recent years, there has been a demand for lighting devices that can switch the light distribution angle. For example, there is a demand for a single lighting device to illuminate the entire room with a large light distribution angle in some situations, and to illuminate a narrow range with a small light distribution angle in other situations. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] JP 2007-335101 A [Patent Document 2] JP 2007-265726 A Summary of the Invention [Problem to be solved by the invention]

[0004] An object of an embodiment of the present invention is to provide a lighting device capable of switching the light distribution angle without using mechanical means, and a light-emitting device and an optical member used in the lighting device. [Means for solving the problem]

[0005] A light emitting device according to one embodiment of the present invention comprises a light collector, a first cylindrical body surrounding the light collector, which is translucent and has a plurality of recesses formed at its end, with the portion between the recesses being a light guiding portion, one or more first light emitting elements arranged at positions corresponding to the light collector, and a plurality of second light emitting elements arranged at positions corresponding to a plurality of the light guiding portions.

[0006] An illumination device according to one embodiment of the present invention includes the light-emitting device and a cover member that covers a side surface of the light-emitting device.

[0007] An optical element according to one embodiment of the present invention comprises a light collector and a first cylindrical body surrounding the light collector, the first cylindrical body being translucent, having a plurality of recesses formed at an end thereof, and the portion between the recesses being a light guiding portion. Effect of the Invention

[0008] According to an embodiment of the present invention, it is possible to realize a lighting device capable of switching the light distribution angle without using a mechanical means, and a light-emitting device and an optical member used in the lighting device. [Brief description of the drawings]

[0009] [Figure 1] 1 is an exploded perspective view showing a lighting device according to a first embodiment. [Diagram 2] FIG. 2 is a bottom view showing a light source unit in the first embodiment. [Diagram 3] 1 is a perspective view showing an optical member according to a first embodiment of the present invention. [Figure 4] 1 is a perspective view showing an optical member according to a first embodiment of the present invention. [Diagram 5] 1 is a side view showing an optical member according to a first embodiment. [Figure 6] 1 is a cross-sectional view showing an optical member according to a first embodiment. [Figure 7] FIG. 2 is a top view showing the optical member according to the first embodiment. [Figure 8] FIG. 2 is a bottom view showing the optical member according to the first embodiment. [Figure 9A] 11 is a diagram showing a simulation result of a trajectory of light emitted from a first light-emitting element. FIG. [Figure 9B] 13 is a diagram showing a simulation result of the trajectory of light emitted from the second light-emitting element. FIG. [Figure 10A] 13 is a diagram showing a simulation result of the trajectory of light emitted from the second light-emitting element. FIG. [Figure 10B] 13 is a diagram showing a simulation result of the trajectory of light emitted from the second light-emitting element. FIG. [Figure 11] 3 is a projection view showing a first light guiding section of the optical member according to the first embodiment. FIG. [Figure 12A] 1 is a graph showing the relative light distribution of light emitted from a first cylindrical body, with the horizontal axis representing angle and the vertical axis representing relative intensity. [Figure 12B] 1 is a graph showing the illuminance distribution of light emitted from the first cylindrical body, with the horizontal axis representing the distance from the center of the irradiation surface and the vertical axis representing the illuminance. [Figure 13] FIG. 11 is a perspective view showing an optical member according to a second embodiment. [Figure 14] FIG. 11 is a perspective view showing an optical member according to a second embodiment. [Figure 15] FIG. 6 is a side view showing an optical member according to a second embodiment. [Figure 16] FIG. 4 is a cross-sectional view showing an optical member according to a second embodiment. [Figure 17] FIG. 6 is a top view showing an optical member according to a second embodiment. [Figure 18] FIG. 11 is a bottom view showing an optical member according to a second embodiment. [Figure 19] FIG. 13 is a bottom view showing a light source unit in the third embodiment. [Figure 20] FIG. 11 is a perspective view showing an optical member according to a third embodiment. [Figure 21] FIG. 11 is a perspective view showing an optical member according to a third embodiment. [Figure 22] FIG. 11 is a side view showing an optical member according to a third embodiment. [Diagram 23] FIG. 11 is a cross-sectional view showing an optical member according to a third embodiment. [Figure 24] FIG. 11 is a top view showing an optical member according to a third embodiment. [Diagram 25] FIG. 11 is a bottom view showing an optical member according to a third embodiment. [Figure 26A] FIG. 11 is a projection view showing a fourth light guiding section of the optical member according to the third embodiment. [Figure 26B] FIG. 11 is a projection view showing a fifth light guiding section of an optical member according to a third embodiment. [Figure 27] FIG. 11 is an end view showing a light emitting device according to a fourth embodiment. [Figure 28]FIG. 11 is a perspective view showing a concave mirror of an optical member according to a fourth embodiment. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0010] <First embodiment> FIG. 1 is an exploded perspective view showing an illumination device 100 according to the present embodiment. First, the configuration of an illumination device 100 according to this embodiment will be roughly described. The lighting device 100 includes a light emitting device 1 and a cover member 80 that covers the side surface of the light emitting device 1. The light emitting device 1 includes a light source unit 10 and an optical member 20.

[0011] The optical member 20 includes a light collector 30 and a first cylindrical body 40 that surrounds the light collector 30, is translucent, has a plurality of recesses 41a formed at an end, and the portions between the recesses 41a are light guides 42 and 43. The light source unit 10 includes one or more first light emitting elements 11 arranged at positions corresponding to the light collector 30, and a plurality of second light emitting elements 12 arranged at positions corresponding to the plurality of light guides 42 and 43. In one example, the lighting device 100 is attached to the ceiling of a room and emits light downward. However, the attachment position of the lighting device 100 and the light emission direction are not limited thereto.

[0012] The details will be explained below. FIG. 2 is a bottom view showing the light source unit 10 in this embodiment. The light source unit 10 is provided with one wiring board 15. The shape of the wiring board 15 is, for example, substantially disc-shaped, but is not limited thereto. The wiring board 15 has wiring provided in a base material made of, for example, a resin material. The first light-emitting element 11 and the second light-emitting element 12 are mounted on a mounting surface 15a of the wiring board 15.

[0013] The first light emitting element 11 is provided in one or more pieces, for example, ten pieces, and is arranged near the center of the wiring board 15. The second light emitting element 12 is provided in two or more pieces, for example, twelve pieces, and is arranged in a circle in a region surrounding the ten first light emitting elements 11. Here, an example in which the number of the first light emitting elements 11 is ten and the number of the second light emitting elements 12 is twelve is shown, but this is not limited thereto. As long as one or more first light emitting elements 11 are arranged near the center of the wiring board 15 and two or more second light emitting elements 12 are arranged to surround the first light emitting elements 11, the number of the arranged elements is not important.

[0014] The first light-emitting element 11 and the second light-emitting element 12 are, for example, LEDs (Light Emitting Diodes). The first light-emitting element 11 and the second light-emitting element 12 can be controlled independently of each other. The color temperature of the light emitted from the first light-emitting element 11 may be the same as or different from the color temperature of the light emitted from the second light-emitting element 12.

[0015] 3 and 4 are perspective views showing an optical member 20 according to this embodiment. FIG. 5 is a side view showing the optical member 20 according to this embodiment. FIG. 6 is a cross-sectional view showing an optical member 20 according to this embodiment. FIG. 7 is a top view showing the optical member 20 according to this embodiment. FIG. 8 is a bottom view showing the optical member 20 according to this embodiment. FIG. 6 shows a cross section taken along line AA' shown in FIG.

[0016] The optical member 20 is a transparent member integrally formed from a transparent material. Therefore, the entire optical member 20 is translucent. The optical member 20 is generally shaped as a body of revolution with a central axis C as the axis of revolution, and has a light incident surface 21 and a light exit surface 29. The light incident surface 21 faces the light source unit 10. As will be described later, the light incident surface 21 and the light exit surface 29 of the optical member 20 are formed with unevenness, and the unevenness realizes optical functions such as light collection and light guidance.

[0017] A truncated cone-shaped recess 29a is formed in the center of the light exit surface 29. The inner surface of the recess 29a includes a bottom surface 29b and an inclined surface 29c. The recess 29a on the light exit surface 29 is surrounded by a flat surface 29d perpendicular to the central axis C. The bottom surface 29b and the flat surface 29d are, for example, textured. That is, the bottom surface 29b and the flat surface 29d have fine irregularities.

[0018] Hereinafter, among the directions in which the central axis C of the optical member 20 extends, the direction from the light exit surface 29 toward the light entrance surface 21 is referred to as the "light entrance direction," and the direction from the light entrance surface 21 toward the light exit surface 29 is referred to as the "light exit direction."

[0019] A light collector 30 is provided in the center of the optical member 20. A convex lens 31 and an annular prism portion 32 surrounding the convex lens 31 are integrally provided in the light collector 30. A convex surface 31a of the convex lens 31 faces the light incident direction. The surface opposite to the convex surface 31a of the convex lens 31 is a bottom surface 29b of a recess 29a of the light exit surface 29. The convex lens 31 is disposed at a position corresponding to the first light emitting element 11 of the light source section 10, for example, disposed at a position facing the first light emitting element 11.

[0020] The shape of the prism portion 32 is a generally conical shape with a sunken apex. The prism portion 32 faces a region between the first light-emitting element 11 and the second light-emitting element 12 in the light source portion 10. The surfaces of the prism portion 32 facing the light incidence direction include an inner surface 32a, an upper surface 32b, and an outer surface 32c.

[0021] The inner surface 32a of the prism portion 32 is in contact with the convex surface 31a of the convex lens 31, and is inclined so as to move away from the central axis C as it approaches the light incident direction. The top surface 32b is disposed around the inner surface 32a and is in contact with the inner surface 32a. The top surface 32b is an annular flat surface perpendicular to the central axis C.

[0022] The outer surface 32c is disposed around the upper surface 32b and is in contact with the upper surface 32b. The outer surface 32c is inclined so as to move away from the central axis C as it moves in the light emission direction. The outer surface 32c is curved outwardly with respect to the light emission surface 29, that is, so as to be convex toward the light incidence direction. The outer surface 32c may be faceted. By faceting, the outer surface 32c is composed of a large number of tile-shaped flat surfaces, which can diffuse light and reduce the graininess of the light-emitting element. The surface of the prism portion 32 facing the light emission direction is the inclined surface 29c of the recess 29a of the light emission surface 29.

[0023] A first cylindrical body 40 is provided around the prism portion 32. The first cylindrical body 40 has a rough shape of a cylinder surrounding the prism portion 32. The central axis of the first cylindrical body 40 coincides with, for example, the central axis C of the optical member 20. The cross-sectional shape of the surface including the central axis C of the first cylindrical body 40 is approximately trapezoidal. The surface of the first cylindrical body 40 facing the light incident direction includes an inner side surface 40a, an upper surface 40b, and an outer side surface 40c. The surface of the first cylindrical body 40 facing the light exit direction is the inner peripheral portion of the flat portion 29d of the light exit surface 29.

[0024] The inner surface 40a of the first cylindrical body 40 is in contact with the outer surface 32c of the prism portion 32, and is inclined away from the central axis C as it approaches the light incident direction. The upper surface 40b is disposed around the inner surface 40a and is in contact with the inner surface 40a. The upper surface 40b is an annular plane perpendicular to the central axis C. The outer surface 40c is disposed around the upper surface 40b and is in contact with the upper surface 40b. The outer surface 40c may be parallel to the central axis C, or may be inclined away from the central axis C as it approaches the light exit direction.

[0025] A plurality of recesses 41a are formed in end 40e of first cylindrical body 40 on the light incident direction side, i.e., end 40e including top surface 40b. The portions of first cylindrical body 40 between recesses 41a are first light guiding section 42 or second light guiding section 43. Hereinafter, first light guiding section 42 and second light guiding section 43 will also be collectively referred to simply as "light guiding section."

[0026] The first light guiding section 42 has a pair of side surfaces 42a facing the circumferential direction of the first cylindrical body 40, and a top surface 42b is formed between the pair of side surfaces 42a. The second light guiding section 43 has a pair of side surfaces 43a facing the circumferential direction of the first cylindrical body 40, and a top surface 43b is formed between the pair of side surfaces 43a. The side surfaces 42a of the light guiding section are curved in a convex shape toward the inside of the recess 41a. The side surfaces 43a of the light guiding section may be curved in a convex shape toward the inside of the recess 41a, or may be a plane parallel to the central axis C. The top surface 42b of the first light guiding section 42 and the top surface 43b of the second light guiding section 43 are part of the top surface 40b of the first cylindrical body 40.

[0027] In the first cylindrical body 40, the first light guiding portions 42 and the second light guiding portions 43 are alternately arranged along the circumferential direction of the first cylindrical body 40. Therefore, one inner surface of the recess 41a is the side surface 42a of the first light guiding portion 42, and the other inner surface is the side surface 43a of the second light guiding portion 43.

[0028] The recess 41a narrows or remains constant as it gets farther from the end 40e. Therefore, the light guiding portion widens or remains constant as it gets farther from the end 40e of the first cylindrical body 40. In this embodiment, the light guiding portion widens as it gets farther from the end 40e. However, the rate of widening, i.e., the degree of inclination of the side surfaces 42a and 43a with respect to the central axis C, differs from each other, and the side surface 42a of the first light guiding portion 42 is inclined more with respect to the central axis C than the side surface 43a of the second light guiding portion 43.

[0029] More specifically, on the outer surface 40c of the first cylindrical body 40, a direction V extends from an intersection 42c between the side surface 42a of the first light guiding section 42 and the end 40e of the first cylindrical body 40 toward a point 42d on the side surface 42a of the first light guiding section 42 that is farthest from the end 40e. 42 is the central axis C of the first light guiding section 42 42 A first angle θ 42 In addition, on the outer surface 40c of the first cylindrical body 40, a direction V43 is the central axis C of the second light guiding section 43 43 A second angle θ 43 The first angle θ 42 is the second angle θ 43 Greater than.

[0030] The second light-emitting element 12 of the light source unit 10 is disposed at a position corresponding to the first light guiding unit 42 and the second light guiding unit 43, for example, at a position facing the upper surface 42b of the first light guiding unit 42 and a position facing the upper surface 43b of the second light guiding unit 43. The second light-emitting element 12 disposed at a position corresponding to the first light guiding unit 42 and the second light-emitting element 12 disposed at a position corresponding to the second light guiding unit 43 can be controlled independently of each other. The color temperature of the light emitted from the second light-emitting element 12 disposed at a position corresponding to the first light guiding unit 42 may be different from or the same as the color temperature of the light emitted from the second light-emitting element 12 disposed at a position corresponding to the second light guiding unit 43.

[0031] A flat plate portion 50 is provided around the first cylindrical body 40. The shape of the flat plate portion 50 may be any shape that surrounds the periphery of the first cylindrical body 40, and is preferably an annular plate. The upper surface 50a of the flat plate portion 50 is, for example, a plane perpendicular to the central axis C. The surface of the flat plate portion 50 facing the light emission direction is the outer circumferential portion of the flat portion 29d of the light emission surface 29.

[0032] The light incident surface 21 of the optical member 20 is constituted by the convex surface 31a of the convex lens 31, the inner surface 32a, the upper surface 32b and the outer surface 32c of the prism portion 32, the inner surface 40a, the upper surface 40b, the side surface 42a, the side surface 43a and the outer surface 40c of the first cylindrical body 40, and the upper surface 50a of the flat plate portion 50. Of these, the outer surface 32c of the prism portion 32 is processed to diffuse light, for example, by faceting. The light exit surface 29 of the optical member 20 is constituted by the bottom surface 29b and the inclined surface 29c of the recess 29a, and the flat portion 29d. Of these, the bottom surface 29b and the flat portion 29d are processed to diffuse light, for example, by embossing.

[0033] The light incident surface 21 is disposed at a position and angle such that the entire surface is directly visible from the light exit direction. This allows the optical member 20 to be manufactured by injection molding or the like. For example, the optical member 20 can be molded by pouring a transparent resin into a mold that is open on the light exit surface 29 side, solidifying it, and then drawing it out in the light exit direction.

[0034] The cover member 80 includes, for example, an inner cylinder portion 81 surrounding the light source unit 10 and the optical member 20, and an outer cylinder portion 82 attached to one end of the inner cylinder portion 81 and supporting the optical member 20 together with the inner cylinder portion 81. The inner cylinder portion 81 and the outer cylinder portion 82 of the cover member 80 are, for example, cylindrical in shape. The inner cylinder portion 81 and the outer cylinder portion 82 are formed of, for example, a resin material. The inner cylinder portion 81 is fixed to, for example, the ceiling of a room. An annular convex portion 82a is formed on the inner surface of the outer cylinder portion 82, and the outer cylinder portion 82 is fixed to the inner cylinder portion 81 by the end of the inner cylinder portion 81 hitting the convex portion 82a. The cover member 80 supports the light source unit 10 and the optical member 20. When the inner surfaces of the inner cylinder portion 81 and the outer cylinder portion 82 are mirror surfaces, they mirror-reflect the light emitted from the optical member 20, when they are white, they diffuse the light, and when they are dark, they absorb the light.

[0035] Next, the operation of the light emitting device 1 according to this embodiment will be described. FIG. 9A is a diagram showing a simulation result of the trajectory of light emitted from the first light emitting element 11. In FIG. 9B, 10A, and 10B are diagrams showing the simulation results of the trajectory of light emitted from the second light-emitting element 12. In FIG. Fig. 9A shows a cross section including the central axis C, and shows light passing through the light collector 30. Fig. 9B shows a cross section including the central axis C, and shows light passing through the light guiding section. Fig. 10A is a side view of the optical member 20, and shows light passing through the light guiding section. Fig. 10B is a side view of the optical member 20, and shows a case where the first cylindrical body 40 does not have a recess 41a.

[0036] When the first light-emitting element 11 is turned on, a portion of the light emitted from the first light-emitting element 11 is incident on the convex surface 31a of the convex lens 31 of the optical member 20. Hereinafter, the light incident on the convex lens 31 is referred to as "light L1-1." The light L1-1 passes through the inside of the convex lens 31, is condensed by the convex lens 31, and is emitted from the bottom surface 29b of the recess 29a of the light emission surface 29. If the bottom surface 29b is textured, the light L1-1 is diffused as it passes through the bottom surface 29b.

[0037] The remainder of the light emitted from the first light-emitting element 11, i.e., most of the light emitted from the first light-emitting element 11 and not entering the convex lens 31, enters the inner surface 32a of the prism portion 32. Hereinafter, the light that enters the prism portion 32 is referred to as "light L1-2". The light L1-2 passes through the prism portion 32, and at least a part of the light is totally reflected by the outer surface 32c, and exits from the inclined surface 29c of the light exit surface 29. Since the outer surface 32c of the prism portion 32 is curved so as to be convex outward, the light L1-2 is totally reflected by the outer surface 32c, and is thereby condensed. In addition, if the outer surface 32c is faceted, the light L1-2 is diffused when totally reflected by the outer surface 32c. The light L1-1 and the light L1-2 are collectively referred to as "light L1". The half-value angle θ of the light L1 HW1 is, for example, 21°.

[0038] When the second light-emitting element 12 is turned on, most of the light emitted from the second light-emitting element 12 is incident on the upper surface 40b of the first cylindrical body 40 of the optical member 20. Hereinafter, the light incident on the first cylindrical body 40 will be referred to as "light L2."

[0039] In the thickness direction of the first cylindrical body 40, at least a portion of the light L2 is guided inside the first cylindrical body 40 by repeated total reflection at the inner surface 40a and outer surface 40c of the first cylindrical body 40, and is diffused and emitted from the planar portion 29d of the light exit surface 29.

[0040] In the circumferential direction of the first cylindrical body 40, a part of the light L2 passes through the light guiding section and reaches a side surface (for example, side surface 42a of the first light guiding section 42). Most of the light L2 that reaches the side surface is totally reflected, passes through the light guiding section again, and is emitted from the light exit surface 29. The remaining part of the light L2 reaches the light exit surface 29 without passing through the side surface of the light guiding section, and is emitted from the light exit surface 29.

[0041] At this time, the degree of diffusion of the light L2 varies depending on the shape of the light guiding portion, for example, the depth of the recess 41a, the inclination angle of the side surface of the light guiding portion with respect to the central axis C, and the curvature state of the side surface of the light guiding portion. HW2 In addition, the larger the inclination angle of the side surface of the light guide portion, the smaller the half-value angle θ of the light L2. HW2 The half-value angle θ of light L2 becomes smaller. HW2 can be adjusted, for example, in the range of 30° to 70°.

[0042] Furthermore, when the first cylindrical body 40 does not have the recess 41a formed therein, that is, when there is no light guiding section having a side surface facing the circumferential direction of the first cylindrical body 40, the light L2 is not totally reflected by the side surface of the light guiding section. Therefore, compared to the case where the recess 41a is formed, the half-value angle θ of the light L2 is HW2 In this case, the half-value angle θ HW2 For example, it is 71°.

[0043] FIG. 11 is a projection view showing a first light guiding section 42 of the optical member 20 according to this embodiment. In FIG. 11, first light guiding section 42, which is actually curved along the outer periphery of first cylindrical body 40, is projected onto a plane.

[0044] For example, in the first light guiding section 42, as described above, the first angle θ 42 However, on the outer surface 40c of the first cylindrical body 40, the central axis C of the first light guiding section 42 42 The direction in which the line extends and the direction V 42 The angle between the direction V and the 42is the direction from intersection 42c toward point 42d. Intersection 42c is the intersection between side surface 42a of first light guiding section 42 and end portion 40e, i.e., upper surface 42b, of first cylindrical body 40. Point 42d is the point on side surface 42a of first light guiding section 42 that is farthest from end portion 40e.

[0045] On the other hand, in the outer surface 40c of the first cylindrical body 40, the length of the upper surface 42b of the first light guiding section 42 in the circumferential direction of the first cylindrical body 40 is La, the length of the base part of the first light guiding section 42, i.e., the part farthest from the upper surface 42b is Lb, and the height of the first light guiding section 42 is h, then the first angle θ 42 can be roughly calculated by the following formula 1.

[0046]

number

[0047] When a simulation was performed by changing the shape of the light guiding portion, as shown in Table 1, it was possible to adjust the half-value angle of the light L2 within the range of 31° to 71°.

[0048] [Table 1]

[0049] FIG. 12A is a graph showing the relative luminous intensity distribution of light L2 emitted from first cylindrical body 40, with the horizontal axis representing angle and the vertical axis representing relative intensity. FIG. 12B is a graph showing the illuminance distribution of light L2 emitted from first cylindrical body 40, with the horizontal axis representing the distance from the center of the irradiation surface and the vertical axis representing the illuminance. By adjusting the shape of the light guide, good light distribution and illuminance distribution could be obtained even when the half-value angle (light distribution angle) was changed.

[0050] Furthermore, by setting the values ​​of the length La, the length Lb, and the height h so as to satisfy the following conditions (1) to (4), the light emitting device can be made easier to manufacture and more suitable for practical use. (1) La <Lb (2) 1 mm <La<12mm、3.5mm<Lb<30mm、5mm<h<49.5mm (3) La is 0.25 to 0.4 times Lb (4) h is between 0.7 and 1.65 times Lb

[0051] A simulation was performed in which the shape of the light-guiding section was changed to satisfy the above conditions (1) to (4), and second light-emitting element 12 was turned on. As a result, as shown in Table 2, the half-value angle of light L2 could be adjusted in the range of 28° to 58°.

[0052] [Table 2]

[0053] As described above, according to the present embodiment, different light distribution angles can be realized by varying the shapes of the light guiding sections. In the lighting device 100 according to the present embodiment, by varying the shapes of the first light guiding section 42 and the second light guiding section 43 in the optical member 20, two levels of light distribution angles can be realized by the second light emitting element 12 and the first cylindrical body 40. Furthermore, by using the first light emitting element 11 and the light collector 30 in combination, a total of three levels of light distribution angles can be realized.

[0054] The light distribution angle can be switched by selecting a light-emitting element to be turned on from the first light-emitting element 11 and the second light-emitting element 12. For example, if only the first light-emitting element 11 is turned on, the light distribution angle can be set to a "narrow angle," if only the second light-emitting element 12 arranged at a position corresponding to the first light-guiding section 42 among the second light-emitting elements 12 is turned on, the light distribution angle can be set to a "medium angle," and if only the second light-emitting element 12 arranged at a position corresponding to the second light-guiding section 43 among the second light-emitting elements 12 is turned on, the light distribution angle can be set to a "wide angle."

[0055] Next, the effects of this embodiment will be described. In the lighting device 100, the light distribution angle can be switched only by electrical means, without providing any mechanical means. This allows the lighting device 100 to be made smaller and less expensive. Furthermore, since there is no mechanical operation, switching does not take time, no noise is generated, and reliability is high. Furthermore, the exterior of the lighting device 100 can be designed so that it is not obvious that the light distribution angle can be switched, which improves the interior design when the lighting device is attached to the ceiling of a room and used as a downlight, for example.

[0056] Moreover, since three levels of light distribution angle can be realized using one optical member 20, the cost of the lighting device 100 can be further reduced. As described above, if the optical member 20 is formed by an injection molding method or the like, the cost can be further reduced. Also, from the user's perspective, the position and area of ​​the light-emitting region hardly change when the light distribution angle is switched, so there is little sense of discontinuity associated with the switching.

[0057] Furthermore, when the outer surface 32c of the prism portion 32 is faceted and the bottom surface 29b and the flat surface portion 29d of the light emission surface 29 of the optical member 20 are textured, the light emitted from the first light-emitting element 11 and the second light-emitting element 12 is diffused. As a result, the graininess of the light-emitting area as seen by the user can be reduced and glare can be suppressed.

[0058] The first light-emitting element 11 and the second light-emitting element 12 may be turned on at the same time. This allows, for example, the second light-emitting element 12 to illuminate the entire room while the first light-emitting element 11 can illuminate a work space such as a desk more brightly. In this case, the color temperature of the light emitted by the first light-emitting element 11 and the color temperature of the light emitted by the second light-emitting element 12 may be made different from each other. For example, the color temperature of the light emitted from the second light-emitting element 12 may be set to 2700K (Kelvin) to illuminate the entire room with incandescent light, while the color temperature of the light emitted from the first light-emitting element 11 may be set to 6500K to illuminate the desk with white light.

[0059] Also, the light distribution angle may be switched by detecting a person using a sensor. For example, when there is no person near a work space such as a desk, only the second light-emitting element 12 may be turned on to illuminate the entire room, and when there is a person in the work space, both the first light-emitting element 11 and the second light-emitting element 12 may be turned on to illuminate the work space in an overlapping manner. Furthermore, for example, when the room is unoccupied, both the first light-emitting element 11 and the second light-emitting element 12 may be turned off, and when a person appears at the entrance to the room, only the first light-emitting element 11 may be turned on to locally illuminate only the vicinity of the entrance, and when the person enters the room, the second light-emitting element 12 may be turned on to illuminate the entire room.

[0060] <Second embodiment> Next, a second embodiment will be described. 13 and 14 are perspective views showing an optical member 22 according to this embodiment. FIG. 15 is a side view showing an optical member 22 according to this embodiment. FIG. 16 is a cross-sectional view showing an optical member 22 according to this embodiment. FIG. 17 is a top view showing an optical member 22 according to this embodiment. FIG. 18 is a bottom view showing an optical member 22 according to this embodiment. FIG. 16 shows a cross section taken along line BB' shown in FIG. In the following description, in principle, only the differences from the first embodiment will be described. The matters other than those described below are the same as the first embodiment. The same applies to the other embodiments described later.

[0061] The lighting device according to this embodiment has an optical member 22. In the optical member 22, a light collector 30 and a first cylindrical body 45 are provided. The configuration of the light collector 30 is similar to that of the first embodiment. The first cylindrical body 45 is translucent. For example, the optical member 22 is integrally formed from a transparent material.

[0062] The general shape of the first cylindrical body 45 is the same as that of the first cylindrical body 40 in the first embodiment, and is a cylinder surrounding the prism portion 32. The cross-sectional shape of the first cylindrical body 45, which includes the central axis C of the optical member 22, is approximately trapezoidal. The surface of the first cylindrical body 40 facing the light incidence direction includes an inner surface 45a, an upper surface 45b, and an outer surface 45c. The inner surface 45a is in contact with the outer surface 32c of the prism portion 32, and is inclined so as to move away from the central axis C toward the light incidence direction. The upper surface 45b is an annular plane perpendicular to the central axis C. The outer surface 40c may be parallel to the central axis C, or may be inclined in a direction away from the central axis C toward the light emission direction.

[0063] In the first cylindrical body 45, a plurality of recesses 41b, 41c, and 41d are formed at one end 45e. The portion between adjacent recesses in the first cylindrical body 45 is a light guide portion. Specifically, the portion between the recesses 41b and 41c in the first cylindrical body 45 is a first light guide portion 42, the portion between the recesses 41c and 41d is a second light guide portion 43, and the portion between the recesses 41d and 41b is a third light guide portion 44. In this way, three types of light guide portions are provided in the first cylindrical body 45. The first light guide portion 42, the second light guide portion 43, and the third light guide portion 44 are repeatedly arranged along the circumferential direction of the first cylindrical body 45, for example.

[0064] The configurations of the first light guiding section 42 and the second light guiding section 43 are similar to those of the first embodiment. The third light guiding section 44 has a pair of side surfaces 44a and an upper surface 44b disposed between the pair of side surfaces 44a. The upper surface 44b is a part of an upper surface 45b of the first cylindrical body 45. The inclination angle of the side surfaces 44a of the third light guiding section 44 is larger than the inclination angle of the side surfaces 42a of the first light guiding section 42.

[0065] That is, on the outer surface 45c of the first cylindrical body 45, a direction V extends from an intersection 44c between the side surface 44a of the third light guiding section 44 and the end 45e of the first cylindrical body 45 toward a point 44d on the side surface 44a of the third light guiding section 44 that is farthest from the end 45e. 44 is the central axis C of the third light guiding section 44 44 The third angle θ44 The third angle θ 44 is larger than the first angle θ1. As in the first embodiment, the first angle θ 42 is the second angle θ 43 That is, the third angle θ 44 >1st angle θ 42 >Second angle θ 43 , is.

[0066] The second light emitting element 12 of the light source unit 10 is disposed at a position corresponding to the first light guiding unit 42, the second light guiding unit 43, and the third light guiding unit 44, for example, at a position facing the upper surface of each light guiding unit. One or more second light emitting elements 12 are disposed at a position corresponding to each light guiding unit. The second light emitting element 12 disposed at a position corresponding to the first light guiding unit 42, the second light emitting element 12 disposed at a position corresponding to the second light guiding unit 43, and the second light emitting element 12 disposed at a position corresponding to the third light guiding unit 44 can be controlled independently of each other. In addition, the color temperatures of the light emitted by the second light emitting elements 12 corresponding to each light guiding unit may be different from each other or may be the same from each other.

[0067] Next, the effects of this embodiment will be described. According to the present embodiment, the half-value angle of the light emitted from the third light guiding section 44 can be made smaller than the half-value angle of the light emitted from the first light guiding section 42. As a result, three levels of light distribution angle can be realized and switched by the second light emitting element 12 and the first cylindrical body 45. Furthermore, by using the first light emitting element 11 and the light collector 30 in combination, a total of four levels of light distribution angle can be realized and switched.

[0068] <Third embodiment> Next, a third embodiment will be described. The light emitting device according to this embodiment includes a light source unit 16 and an optical member 23. The light emitting device according to this embodiment and a cover member 80 can configure the illumination device according to this embodiment.

[0069] FIG. 19 is a bottom view showing the light source unit 16 in this embodiment. In the light source unit 16, the first light emitting element 11, the second light emitting element 12, and the third light emitting element 13 are provided on the mounting surface 15a of the wiring board 15. One or more, for example, ten, of the first light emitting element 11 are provided and are arranged near the center of the wiring board 15. Two or more, for example, twelve, of the second light emitting element 12 are provided and are arranged in a circular shape in a region surrounding the ten first light emitting elements 11. Two or more, for example, twelve, of the third light emitting element 13 are provided and are arranged in a circular shape in a region surrounding the twelve second light emitting elements 12. The number of the first light emitting element 11, the second light emitting element 12, and the third light emitting element 13 is not limited to this. The first light emitting element 11, the second light emitting element 12, and the third light emitting element 13 are, for example, LEDs. The first light emitting element 11, the second light emitting element 12, and the third light emitting element 13 can be controlled independently of each other. The color temperature of the light emitted from the third light emitting element 13 may be the same as the color temperature of the light emitted from the first light emitting element 11 or the second light emitting element 12, or may be different.

[0070] 20 and 21 are perspective views showing an optical member 23 according to this embodiment. FIG. 22 is a side view showing an optical member 23 according to this embodiment. FIG. 23 is a cross-sectional view showing an optical member 23 according to this embodiment. FIG. 24 is a top view showing an optical member 23 according to this embodiment. FIG. 25 is a bottom view showing the optical member 23 according to the present embodiment. FIG. 26A is a projection view showing a fourth light guiding section 48 of the optical member 23 according to this embodiment. FIG. 26B is a projection view showing fifth light guiding section 49 of optical member 23 according to this embodiment. FIG. 23 shows a cross section taken along line DD' shown in FIG. 26A and 26B, the fourth light guiding section 48 and the fifth light guiding section 49, which are actually curved, are projected onto a plane.

[0071] The optical member 23 includes a light collector 30, a first cylindrical body 46, and a second cylindrical body 47. The configuration of the light collector 30 is similar to that of the first embodiment. The first cylindrical body 46 is a cylindrical member that surrounds the light collector 30. The second cylindrical body 47 is a cylindrical member that surrounds the first cylindrical body 46. The light collector 30, the first cylindrical body 46, and the second cylindrical body 47 are all translucent. For example, the optical member 23 is integrally formed from a transparent material.

[0072] The general shapes of the first cylindrical body 46 and the second cylindrical body 47 are similar to those of the first cylindrical body 40 of the first embodiment. The surface of the first cylindrical body 46 facing the light incidence direction includes an inner side surface 46a, an upper surface 46b, and an outer side surface 46c. The surface of the second cylindrical body 47 facing the light incidence direction includes an inner side surface 47a, an upper surface 47b, and an outer side surface 47c. The inner sides 46a and 47a are inclined so as to move away from the central axis C as they move toward the light incidence direction. The upper surfaces 46b and 47b are annular planes perpendicular to the central axis C. The outer sides 46c and 47c may be parallel to the central axis C, or may be inclined in a direction away from the central axis C as they move toward the light emission direction. The inner side surface 47a of the second cylindrical body 47 may be separated from the outer side surface 46c of the first cylindrical body 46. In this case, a bottom surface 50b is provided between the outer side surface 46c and the inner side surface 47a.

[0073] In the first cylindrical body 46, a recess 41e is formed at one end 46e, and a portion between the recesses 41e in the first cylindrical body 46 serves as a fourth light guiding section 48. The first cylindrical body 46 is provided with two or more, for example, twelve, fourth light guiding sections 48, which are arranged along the circumferential direction of the first cylindrical body 46.

[0074] In the second cylindrical body 47, recesses 41f are formed at one end 47e, and a portion between the recesses 41f in the second cylindrical body 47 serves as a fifth light guiding section 49. The second cylindrical body 47 is provided with two or more, for example, twelve, fifth light guiding sections 49, which are arranged along the circumferential direction of the second cylindrical body 47.

[0075] For example, the fourth light guiding section 48 and the fifth light guiding section 49 are arranged alternately. That is, the recess 41e of the first cylindrical body 46 is arranged between the central axis C of the optical member 23 and the fifth light guiding section 49 of the second cylindrical body 47. Moreover, the fourth light guiding section 48 of the first cylindrical body 46 is arranged between the central axis C of the optical member 23 and the recess 41f of the second cylindrical body 47.

[0076] The first light-emitting element 11 of the light source section 16 is disposed at a position corresponding to the convex lens 31 of the light collector 30. The second light-emitting element 12 is disposed at a position corresponding to the fourth light-guiding section 48, for example, at a position facing the upper surface 48b of the fourth light-guiding section 48. The number of the second light-emitting elements 12 is preferably the same as or an integer multiple of the number of the fourth light-guiding sections 48. The third light-emitting element 13 is disposed at a position corresponding to the fifth light-guiding section 49, for example, at a position facing the upper surface 49b of the fifth light-guiding section 49. The number of the third light-emitting elements 13 is preferably the same as or an integer multiple of the number of the fifth light-guiding sections 49.

[0077] The inclination angle of the side surface 49a of the fifth light guiding portion 49 is different from the inclination angle of the side surface 48a of the fourth light guiding portion 48. For example, the inclination angle of the side surface 49a of the fifth light guiding portion 49 is larger than the inclination angle of the side surface 48a of the fourth light guiding portion 48. More specifically, on the outer surface 47c of the second cylindrical body 47, a direction V from an intersection 49c between the side surface 49a of the fifth light guiding portion 49 and the end portion 47e of the second cylindrical body 47 toward a point 49d on the side surface 49a of the fifth light guiding portion 49 that is farthest from the end portion 47e 49 and the central axis C of the fifth light guiding section 49 49 The fifth angle θ 49 is a direction V from an intersection 48c between the side surface 48a of the fourth light guiding section 48 and the end 46e of the first cylindrical body 46 on the outer side surface 46c of the first cylindrical body 46 toward a point 48d on the side surface 48a of the fourth light guiding section 48 that is the furthest from the end 46e. 48 and the central axis C of the fourth light guiding section 48 48 The fourth angle θ 48 Greater than.

[0078] The effects of this embodiment will be described. In the present embodiment, the fourth light guiding section 48 and the fifth light guiding section 49 are separately disposed in the first cylindrical body 46 and the second cylindrical body 47, thereby making it possible to reduce the outer diameter of the optical member 23. This allows the illumination device to be further miniaturized.

[0079] <Fourth embodiment> Next, a fourth embodiment will be described. The light emitting device 2 according to this embodiment includes a light source section 10 and an optical member 24. The configuration of the light source section 10 is similar to that of the first embodiment. The optical member 24 includes a light collector 33, a first cylindrical body 40, and a flat plate section 50. The configurations of the first cylindrical body 40 and the flat plate section 50 are similar to those of the first embodiment. The light collector 33 is provided with a concave mirror 60. The lighting device according to this embodiment can be configured by the light emitting device 2 and the cover member 80.

[0080] FIG. 27 is an end view showing a light emitting device 2 according to this embodiment. FIG. 28 is a perspective view showing a concave mirror 60 of the optical member 24 according to this embodiment. The concave mirror 60 is generally cup-shaped, and the inner surface is a mirror surface. The inner surface 60a of the concave mirror 60 may be faceted. By faceting, the inner surface 60a of the concave mirror 60 is composed of a plurality of tile-shaped flat surfaces. This makes it possible to diffuse light and reduce the graininess of the light-emitting element. An opening 61 is formed at the apex of the concave mirror 60. The opening 61 is disposed at a position corresponding to the first light-emitting element 11 of the light source unit 10, for example, disposed at a position facing the first light-emitting element 11.

[0081] In the light emitting device 2 according to this embodiment, when the first light emitting element 11 of the light source section 10 is turned on, the light emitted from the first light emitting element 11 enters the concave mirror 60 through the opening 61. A part of the light that enters the concave mirror 60 is reflected by the inner surface 60a of the concave mirror 60 and collected. The remaining part of the light that enters the concave mirror 60 is directly emitted from the optical member 24. Meanwhile, the light emitted from the second light emitting element 12 is diffused while being conducted inside the first cylindrical body 40 and is emitted, similar to the first embodiment.

[0082] In the present embodiment, the light emitted from the first light-emitting element 11 can be collected by the concave mirror 60. According to the present embodiment, the light that enters the concave mirror 60 does not leak into the first cylindrical body 40, improving the controllability of the light distribution. [Industrial Applicability]

[0083] The present invention can be used, for example, in indoor lighting devices and the like. [Explanation of symbols]

[0084] 1, 2: Light emitting device 10: Light source part 11: First light-emitting element 12: Second light-emitting element 13: Third light-emitting element 15: Wiring board 15a: Mounting surface 16: Light source part 20: Optical components 21: Light incidence surface 22, 23, 24: Optical components 29:Light exit surface 29a: Recess 29b: Bottom 29c: Slope 29d: Flat part 30: Light collector 31: Convex lens 31a: Convex 32: Prism section 32a:Inner surface 32b:Top surface 32c: External surface 33: Light collector 40: First cylindrical body 40a: Inner surface 40b:Top surface 40c: Outer surface 40e: End 41a, 41b, 41c, 41d, 41e, 41f: recesses 42:First light guide part 42a: Side 42b:Top surface 42c: Intersection 42d: point 43:Second light guide part 43a: Side 43b:Top surface 43c: Intersection 43d: point 44: Third light guide part 44a: Side 44b:Top surface 44c: Intersection 44d: point 45: First cylindrical body 45a: Inside surface 45b:Top surface 45c: External surface 45e: Edge 46: First cylindrical body 46a:Inner surface 46b:Top surface 46c: External surface 46e: End 47: Second cylindrical body 47a:Inner surface 47b:Top surface 47c: External surface 47e: End 48: 4th light guide part 48a: Side 48b:Top surface 48c: Intersection 48d: point 49: 5th light guide part 49a side 49b:Top surface 49c: Intersection 49d: point 50: Flat plate part 50a:Top surface 50b: Bottom 60: Concave mirror 60a:Inner surface 61: Opening 80: Cover material 81: Inner cylinder 82: Outer cylinder 82a: Convex 100: Lighting equipment C, C 42 , C 43 , C 44 , C 48 , C49 :Central axis h:height L1, L2: light La, Lb: length V 42 , V 43 , V 44 , V 48 , V 49 :direction

Claims

1. A light collector; a first cylindrical body surrounding the light collecting body, the first cylindrical body being translucent, the first cylindrical body having a plurality of recesses formed at an end thereof, and a portion between the recesses being a light guiding portion; One or more first light emitting elements disposed at positions corresponding to the light collector; A plurality of second light emitting elements arranged at positions corresponding to the plurality of light guiding portions; Equipped with the light collecting body and the first cylindrical body are integrally formed of a transparent material, The plurality of recesses are arranged along a circumferential direction of the first cylindrical body, a half-value angle of the light emitted from the light guiding portion is larger than a half-value angle of the light emitted from the light collector, A part of the plurality of light guiding sections is a first light guiding section, and another part is a second light guiding section; The first light guiding sections and the second light guiding sections are arranged alternately, A light emitting device, wherein a half-value angle of light emitted from the first light guiding portion is smaller than a half-value angle of light emitted from the second light guiding portion.

2. The light emitting device according to claim 1 , wherein the light emitted from the second light emitting element is totally reflected within the light guiding portion.

3. The light emitting device according to claim 1 , wherein a surface of the light guiding portion corresponding to the second light emitting element is a plane perpendicular to a central axis of the first cylindrical body.

4. 4. The light emitting device according to claim 1, wherein the thickness of the light guiding portion increases with increasing distance from the end portion, or the thickness is constant.

5. 5. The light emitting device according to claim 1, wherein the recess narrows or is constant as it goes away from the end.

6. 6. The light emitting device according to claim 1, wherein a side surface of the light guiding portion is curved in a convex shape toward an inside of the recess.

7. On an outer surface of the first cylindrical body, a direction from an intersection between a side surface of the first light-guiding portion and the end portion toward a point on the side surface of the first light-guiding portion farthest from the end portion is inclined at a first angle with respect to a direction in which a central axis of the first light-guiding portion extends, a direction from an intersection point between a side surface of the second light guiding portion and the end portion of the second light guiding portion toward a point on the side surface of the second light guiding portion farthest from the end portion is inclined at a second angle with respect to a direction in which a central axis of the second light guiding portion extends, on an outer side surface of the first cylindrical body; The light emitting device according to any one of claims 1 to 6, wherein the first angle is greater than the second angle.

8. The light emitting device according to any one of claims 1 to 7, wherein the color temperature of the light emitted from the second light emitting element arranged at a position corresponding to the first light guiding section is different from the color temperature of the light emitted from the second light emitting element arranged at a position corresponding to the second light guiding section.

9. Another part of the plurality of light guiding sections is a third light guiding section, a direction from an intersection point between a side surface of the third light guiding portion and the end portion to a point on the side surface of the third light guiding portion farthest from the end portion is inclined at a third angle with respect to a direction in which a central axis of the third light guiding portion extends, on an outer side surface of the first cylindrical body; The light emitting device of claim 7 , wherein the third angle is greater than the first angle.

10. A second cylindrical body that surrounds the first cylindrical body, is light-transmitting, has a plurality of recesses formed at an end thereof, and a portion between the recesses is a light-guiding portion; a plurality of third light emitting elements arranged at positions corresponding to the plurality of light guiding portions of the second cylindrical body; The light emitting device according to any one of claims 1 to 9, further comprising:

11. The light-emitting device of claim 10, wherein, on the outer surface of the second cylindrical body, an angle formed by a direction from the intersection between the side of the light-guiding section of the second cylindrical body and the end of the second cylindrical body toward the point on the side of the light-guiding section farthest from the end, and a direction in which the central axis of the light-guiding section of the second cylindrical body extends, is greater than an angle formed by a direction from the intersection between the side of the light-guiding section of the first cylindrical body and the end of the first cylindrical body toward the point on the side of the light-guiding section farthest from the end, and a direction in which the central axis of the light-guiding section of the first cylindrical body extends, on the outer surface of the first cylindrical body.

12. The light collector is A convex lens, an annular prism portion surrounding the convex lens; 12. The light emitting device according to claim 1, further comprising:

13. A light emitting device according to any one of claims 1 to 12, A cover member for covering a side surface of the light emitting device; A lighting device comprising:

14. A light collector; a first cylindrical body surrounding the light collecting body, the first cylindrical body being translucent, the first cylindrical body having a plurality of recesses formed at an end thereof, and a portion between the recesses being a light guiding portion; Equipped with the light collecting body and the first cylindrical body are integrally formed of a transparent material, The plurality of recesses are arranged along a circumferential direction of the first cylindrical body, Some of the plurality of light guiding sections are first light guiding sections and the other of the plurality of light guiding sections are second light guiding sections; The first light guiding sections and the second light guiding sections are arranged alternately, An optical member in which a half-value angle of light exiting the first light guiding section from among light entering the light guiding section is smaller than a half-value angle of light exiting the second light guiding section.

15. The optical member according to claim 14 , wherein the light incident on the light guiding portion is totally reflected within the light guiding portion.

16. The optical member according to claim 14 or 15, wherein a tip surface of the light guiding portion is a plane perpendicular to a central axis of the first cylindrical body.

17. On an outer surface of the first cylindrical body, a direction from an intersection between a side surface of the first light-guiding portion and the end portion toward a point on the side surface of the first light-guiding portion farthest from the end portion is inclined at a first angle with respect to a direction in which a central axis of the first light-guiding portion extends, a direction from an intersection point between a side surface of the second light guiding portion and the end portion of the second light guiding portion toward a point on the side surface of the second light guiding portion farthest from the end portion is inclined at a second angle with respect to a direction in which a central axis of the second light guiding portion extends, on an outer side surface of the first cylindrical body; The optical member according to any one of claims 14 to 16, wherein the first angle is greater than the second angle.

18. Another part of the plurality of light guiding sections is a third light guiding section, a direction from an intersection point between a side surface of the third light guiding portion and the end portion to a point on the side surface of the third light guiding portion farthest from the end portion is inclined at a third angle with respect to a direction in which a central axis of the third light guiding portion extends, on an outer side surface of the first cylindrical body; The optical member of claim 17 , wherein the third angle is greater than the first angle.

Citation Information

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