Optical system, projector, and imaging device

Abstract

To provide an optical system that converts the aspect ratio of an enlarged image with respect to a projection image by enlarging the projection image in a width direction.SOLUTION: An optical system 3A forms an intermediate image between a reduction-side conjugate plane and an enlargement-side conjugate plane. The optical system 3A includes a first optical system and a second optical system arranged on the enlargement side of the first optical system, and the second optical system includes a lens having a first transmission surface, a reflection surface, and a second transmission surface in order from a reduction side to an enlargement side. The reflection surface and the second transmission surface have each free-form surface shape.SELECTED DRAWING: Figure 3

Description

[Technical field]

[0001] The present invention relates to an optical system, a projector, and an imaging device. [Background technology]

[0002] A projector that uses an optical system to enlarge a projection image formed by an image forming element and projects the enlarged image on a screen is described in Patent Document 1. The optical system in this document includes a first optical system having a plurality of lenses and a second optical system arranged on the enlargement side of the first optical system. The projection image is formed on a reduction-side imaging plane of the optical system, and the enlarged image is formed on an enlargement-side imaging plane of the optical system. An intermediate image conjugate to the projection image and the enlarged image is formed between the first optical system and the second optical system. The second optical system is composed of one concave mirror. The reflecting surface of the concave mirror has a free-form curved shape. In this document, the aspect ratio of the enlarged image differs from the aspect ratio of the projection image. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] JP 2014-130365 A Summary of the Invention [Problem to be solved by the invention]

[0004] In the optical system of Patent Document 1, the aspect ratio of the enlarged image relative to the projected image is converted by decreasing the magnification of the projected image in the width direction. Patent Document 1 does not disclose an optical system that increases the magnification of the projected image in the width direction to convert the aspect ratio of the enlarged image relative to the projected image. [Means for solving the problem]

[0005] In order to solve the above problems, the present invention provides an optical system that forms an intermediate image between a reduction side conjugate surface and a magnification side conjugate surface, comprising: a first optical system; and a second optical system arranged on the magnification side of the first optical system, wherein the second optical system comprises a lens having, in order from the reduction side to the magnification side, a first transmitting surface, a reflecting surface, and a second transmitting surface, and the reflecting surface and the second transmitting surface have free-form shapes.

[0006] In addition, in order to solve the above-mentioned problems, another aspect of the present invention is an optical system that forms an intermediate image between a reduction side conjugate surface and a magnification side conjugate surface, comprising a first optical system and a second optical system arranged on the magnification side of the first optical system, wherein the first optical system is provided with a deflection member having a light reflecting surface on the most magnification side, and the second optical system is provided with a lens having, in order from the reduction side to the magnification side, a first transmitting surface, a reflecting surface, and a second transmitting surface, and the reflecting surface and the light reflecting surface have free-form shapes.

[0007] Next, a projector according to the present invention is characterized by having the above optical system, and an image forming section that forms a projected image on the reduction-side imaging conjugate plane of the optical system.

[0008] The present invention also provides an imaging device comprising the above optical system and a and an imaging element having the same. In order to solve the above problems, the present invention provides a method for obtaining a magnification ratio of 1:1 between a reduction side conjugate surface and a magnification side conjugate surface. In an optical system for forming an intermediate image, the optical system includes a first optical system having a first optical axis and a magnification of the first optical system. a second optical system having a second optical axis arranged on the larger side, the second optical system being The lens has a first transmitting surface, a reflecting surface, and a second transmitting surface, in that order from the first side to the magnifying side. The reflecting surface and the second transmitting surface have a free-form shape, and three axes perpendicular to each other are defined as a first axis. axis, a second axis, and a third axis, and when the second optical axis is made to coincide with the first axis, The first transmitting surface and the reflecting surface are arranged along the first axis, and the first transmitting surface and the second transmitting surface are arranged along the first axis. The plane is an imaginary plane that is arranged along the second axis and includes the first axis and the second axis. is a first plane, the reflecting surface has a shape symmetrical with respect to the first plane, The reflecting surface and the second transmitting surface are anamorphic surfaces, and the magnification side conjugate surface is The magnification ratio of the image plane in the third axis direction is larger than that in the second axis direction with respect to the reduction-side conjugate surface. It is characterized by: In order to solve the above problems, the present invention provides a method for obtaining a magnification ratio of 1:1 between a reduction side conjugate surface and a magnification side conjugate surface. In an optical system for forming an intermediate image, the optical system includes a first optical system having a first optical axis and a magnification of the first optical system. and a second optical system having a second optical axis disposed on the larger side, the first optical system being configured to have a maximum magnification. a deflecting member having a light reflecting surface on the side of the second optical system, The lens has a first transmitting surface, a reflecting surface, and a second transmitting surface, in that order, The light reflecting surface has a free curved surface shape, and three mutually orthogonal axes are a first axis, a second axis, and When the second optical axis is made to coincide with the first axis, the first transmitting surface and the reflecting surface The first transmitting surface and the second transmitting surface are arranged along the first axis, and the first transmitting surface and the second transmitting surface are arranged along the second axis. When a virtual plane including the first axis and the second axis is defined as a first plane, In this case, the reflecting surface has a shape symmetrical with respect to the first plane, and the reflecting surface and the light The reflecting surface is an anamorphic surface, and the magnification side conjugate surface is The magnification ratio of the image plane in the third axis direction is larger than that in the second axis direction. In order to solve the above problems, the optical system of the present invention has a reduction-side conjugate surface and a magnification-side conjugate surface. In the optical system forming an intermediate image between the first and second conjugate surfaces, The first optical system includes a deflecting member having a light reflecting surface, and a second optical system. The lens is made up of a first lens, and the first lens is arranged in the order from the reduction side to the enlargement side. A lens having a transmitting surface, a reflecting surface, and a second transmitting surface, The second transmitting surface has a free-form shape, and the reflecting surface and the second transmitting surface are anamorphic. a deflection member that deflects a light beam passing through the first optical axis from the first optical axis to the second optical axis; The reflecting surface is symmetrical with respect to the plane formed by the light beam after it has been deflected by the reflecting surface. The magnification side conjugate surface is oriented in a direction parallel to the first optical axis direction with respect to the reduction side conjugate surface. The magnification of the image plane in a direction perpendicular to the first optical axis is larger than that of the first optical axis. In order to solve the above problems, the optical system of the present invention has a reduction-side conjugate surface and a magnification-side conjugate surface. In the optical system forming an intermediate image between the first and second conjugate surfaces, The first optical system includes a deflecting member having a light reflecting surface, and a second optical system. The lens is made up of a first lens, and the first lens is arranged in the order from the reduction side to the enlargement side. The reflecting surface and the deflecting member are arranged to reflect light from the light transmitting surface, the reflecting surface, and the second reflecting surface. The light reflecting surface is a free-form surface, and the light reflecting surface of the deflection member is an anamorphic surface. a light beam passing through the first optical axis and a light beam passing through the second optical axis are deflected by the deflection member. The reflecting surface is symmetrical with respect to the plane formed by the light beam after it has been deflected further. The magnification side conjugate surface is oriented in a direction parallel to the first optical axis direction with respect to the reduction side conjugate surface. The magnification of the image plane is larger in a direction perpendicular to the first optical axis than in the direction perpendicular to the first optical axis. [Brief description of the drawings]

[0009] [Figure 1] FIG. 1 is a schematic configuration diagram of a projector including an optical system. [Diagram 2] 1 is a ray diagram that illustrates a schematic view of the entire optical system of Example 1. FIG. [Diagram 3] FIG. 2 is a ray diagram of the optical system of the first embodiment. [Figure 4] 4 is a ray diagram of the lens located on the most enlarged side of the first optical system, a deflection member, and the second optical system. FIG. [Diagram 5] FIG. 4 is a diagram showing the range of a projected image on a liquid crystal panel. [Figure 6] FIG. 13 is a diagram showing the range of a magnified image on a screen. [Figure 7] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 8] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 9] FIG. 11 is a ray diagram illustrating a schematic view of the entire optical system of the second embodiment. [Figure 10] FIG. 11 is a ray diagram of the optical system of the second embodiment. [Figure 11] 4 is a ray diagram of the lens located on the most enlarged side of the first optical system, a deflection member, and the second optical system. FIG. [Figure 12] FIG. 4 is a diagram showing the range of a projected image on a liquid crystal panel. [Figure 13] FIG. 13 is a diagram showing the range of a magnified image on a screen. [Figure 14] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 15] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 16] FIG. 11 is a ray diagram illustrating a schematic view of the entire optical system of Example 3. [Figure 17] FIG. 11 is a ray diagram of the optical system of the third embodiment. [Figure 18] 4 is a ray diagram of the lens located on the most enlarged side of the first optical system, a deflection member, and the second optical system. FIG. [Figure 19] FIG. 4 is a diagram showing the range of a projected image on a liquid crystal panel. [Figure 20] FIG. 13 is a diagram showing the range of a magnified image on a screen. [Figure 21] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 22] FIG. 2 is a diagram showing lateral aberration of a magnified image produced by an optical system. [Figure 23] FIG. 11 is a ray diagram of the optical system of Example 4. [Figure 24] FIG. 1 is a schematic diagram of an imaging device including an imaging optical system. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0010] An optical system, a projector, and an imaging device according to an embodiment of the invention will be described below with reference to the drawings.

[0011] (projector) Fig. 1 is a schematic configuration diagram of a projector equipped with an optical system 3 of the present invention. As shown in Fig. 1, the projector 1 includes an image forming unit 2 that generates a projection image to be projected onto a screen S, an optical system 3 that enlarges the projection image and projects the enlarged image onto the screen S, and a control unit 4 that controls the operation of the image forming unit 2.

[0012] (Image generation optical system and control unit) The image forming unit 2 includes a light source 10, a first integrator lens 11, a second integrator lens 12, a polarization conversion element 13, and a superimposing lens 14. The light source 10 is, for example, an ultra-high pressure mercury lamp, a solid-state light source, or the like. The first integrator lens 11 and the second integrator lens 12 each have a plurality of lens elements arranged in an array. The first integrator lens 11 splits the light beam from the light source 10 into a plurality of beams. Each lens element of the first integrator lens 11 focuses the light beam from the light source 10 near each lens element of the second integrator lens 12.

[0013] Polarization conversion element 13 converts the light from second integrator lens 12 into a predetermined linearly polarized light. Superimposing lens 14 superimposes the images of each lens element of first integrator lens 11 via second integrator lens 12 onto the display regions of liquid crystal panels 18R, 18G, and 18B, which will be described later.

[0014] The image forming unit 2 also includes a first dichroic mirror 15, a reflecting mirror 16, a field lens 17R, and a liquid crystal panel 18R. The first dichroic mirror 15 reflects R light, which is a part of the light beam incident from the superimposing lens 14, and transmits G light and B light, which are a part of the light beam incident from the superimposing lens 14. The R light reflected by the first dichroic mirror 15 passes through the reflecting mirror 16 and the field lens 17R and enters the liquid crystal panel 18R. The liquid crystal panel 18R is a light modulation element. The liquid crystal panel 18R forms a red projection image by modulating the R light according to an image signal.

[0015] The image forming unit 2 further includes a second dichroic mirror 21, a field lens 17G, and a liquid crystal panel 18G. The second dichroic mirror 21 reflects G light, which is a part of the light beam from the first dichroic mirror 15, and transmits B light, which is a part of the light beam from the first dichroic mirror 15. The G light reflected by the second dichroic mirror 21 passes through the field lens 17G and enters the liquid crystal panel 18G. The liquid crystal panel 18G is a light modulation element. The liquid crystal panel 18G forms a green projection image by modulating the G light in response to an image signal.

[0016] The image forming unit 2 also includes a relay lens 22, a reflecting mirror 23, a relay lens 24, a reflecting mirror 25, a field lens 17B, a liquid crystal panel 18B, and a cross dichroic prism 19. The B light transmitted through the second dichroic mirror 21 passes through the relay lens 22, the reflecting mirror 23, the relay lens 24, the reflecting mirror 25, and the field lens 17B, and enters the liquid crystal panel 18B. The liquid crystal panel 18B is a light modulation element. The liquid crystal panel 18B forms a blue projection image by modulating the B light in response to an image signal.

[0017] Liquid crystal panels 18R, 18G, and 18B surround cross dichroic prism 19 from three directions. Cross dichroic prism 19 is a prism for light synthesis, and generates a projection image by synthesizing the lights modulated by each of liquid crystal panels 18R, 18G, and 18B.

[0018] The optical system 3 enlarges and projects the projection image (the images formed by the liquid crystal panels 18R, 18G, and 18B) combined by the cross dichroic prism 19 onto the screen S. The screen S is a conjugate surface of the optical system 3 on the enlargement side.

[0019] The control unit 4 includes an image processing unit 6 to which an external image signal such as a video signal is input, and a display driving unit 7 that drives the liquid crystal panels 18R, 18G, and 18B based on the image signal output from the image processing unit 6.

[0020] Image processing unit 6 converts an image signal input from an external device into an image signal including the gradation of each color. Display drive unit 7 operates liquid crystal panels 18R, 18G, and 18B based on the projection image signals of each color output from image processing unit 6. As a result, image processing unit 6 displays a projection image corresponding to the image signal on liquid crystal panels 18R, 18G, and 18B.

[0021] (optical system) Next, the optical system 3 will be described. Below, Examples 1 to 4 will be described as configuration examples of the optical system 3 mounted on the projector 1. Note that in each of Examples 1 to 4, the liquid crystal panel 18R, the liquid crystal panel 18G, and the liquid crystal panel 18B are represented as the liquid crystal panel 18 in the light ray diagram of the optical system.

[0022] Example 1 FIG. 2 is a ray diagram that shows a schematic representation of the entire optical system of Example 1. In FIG. 2, light beams that reach the screen S from the optical system 3A of this example are shown typically as light beams F1 to F3. Light beam F1 is a light beam that reaches a position with the lowest image height. Light beam F3 is a light beam that reaches a position with the highest image height. Light beam F2 is a light beam that reaches a position between light beams F1 and F3. FIG. 3 is a ray diagram of the optical system 3A of Example 1. FIG. 4 is a ray diagram of the lens located on the most enlarged side of the first optical system, the deflecting member, and the second optical system.

[0023] As shown in FIG. 3, the optical system 3A of this example is made up of a first optical system 31 and a second optical system 32, in that order from the reduction side to the enlargement side.

[0024] The first optical system 31 has 14 lenses L1 to L14 and a deflection member 33. The lenses L1 to L14 are arranged in this order from the reduction side to the enlargement side. In this example, the lenses L2 and L3 are cemented together to form a first cemented lens L21. The lenses L4 and L5 are cemented together to form a second cemented lens L22. The lenses L9 and L10 are cemented together to form a third cemented lens L23. An aperture O is arranged between the lenses L7 and L8.

[0025] The deflection member 33 is disposed on the enlargement side of the lens L14. The deflection member 33 is a reflection mirror having a light reflecting surface 33a. The deflection member 33 is disposed at a position offset to one side with respect to the first optical axis N of the lenses L1 to L14. As a result, the light reflecting surface 33a is located on one side of the first optical axis N. The light reflecting surface 33a is inclined at 45° with respect to the first optical axis N. The light beam emitted from the lens L14 to the light reflecting surface 33a travels in a direction away from the first optical axis N. The optical path of the light beam emitted from the lens L14 to the enlargement side is bent by the light reflecting surface 33a in a direction perpendicular to the first optical axis N.

[0026] In the following description, for convenience, three mutually orthogonal axes are referred to as the X-axis, Y-axis, and Z-axis. The Y-axis coincides with the first optical axis N of the lenses L1 to L14. In the Y-axis direction along the Y-axis, the side where the lens L1 is located is referred to as the Y1 direction, and the side where the lens L14 is located is referred to as the Y2 direction. The direction in which the deflection member 33 is offset from the first optical axis N is referred to as the Z-axis direction. The side where the light reflecting surface 33a is located with respect to the first optical axis N is referred to as the Z1 direction, and the opposite side is referred to as the Z2 direction.

[0027] Here, the light reflecting surface 33a has a free curved surface shape. In addition, when a virtual plane including the Y axis and the Z axis is set as a first plane, the light reflecting surface 33a has a shape symmetrical with respect to the first plane. In this example, the light reflecting surface 33a is an anamorphic surface. In addition, the light reflecting surface 33a can also be an XY polynomial surface, a fringe Zernike polynomial surface, a Zernike polynomial surface, or a Q2D free curved surface. The design axis M1 of the light reflecting surface 33a is set at a position C where a chief ray 100 of a light ray passing through the light reflecting surface 33a passes in the Y1 direction of the first optical axis N.

[0028] The second optical system 32 is composed of one lens 34. The lens 34 is made of glass or resin. The lens 34 is disposed in the Z2 direction of the deflection member 33. More specifically, the lens 34 is disposed on the opposite side of the light reflecting surface 33a across the first optical axis N. The lens 34 has a first surface 36 facing the Z1 direction and a second surface 37 facing the Y2 direction. Both the first surface 36 and the second surface 37 have a convex shape. The optical axis M2 of the lens 34 extends in the Z-axis direction. Therefore, the optical axis M2 of the lens 34 and the first optical axis N of the lenses L1 to L14 of the first optical system 31 are perpendicular to each other. In addition, the lens 34 has a reflective coating layer on the second surface 37.

[0029] The lens 34 includes, in order from the reduction side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The first transmitting surface 41 is provided on the first surface. Therefore, the first transmitting surface 41 has a convex shape. The reflecting surface 42 is a reflecting coating layer provided on the second surface 37 of the lens 34. Therefore, the reflecting surface 42 has a concave shape to which the surface shape of the second surface 37 is transferred. The optical axis of the surface 42 coincides with the optical axis M2 of the lens 34. The first transmitting surface 41 and the reflecting surface 42 are The first transmitting surface 41 and the reflecting surface 42 are arranged in the Z-axis direction. The second transmitting surface 43 is provided on the first surface 36. Therefore, the second transmitting surface 43 is located in the first direction. The surface 43 has a convex shape. The first transmitting surface 41 and the second transmitting surface 43 are arranged in the Y-axis direction. The second transmitting surface 43 is aligned with the Y axis M2 of the lens 34. 1 Located in the direction.

[0030] In this example, the first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all free-form surfaces. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all symmetrical with respect to the first plane. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all anamorphic surfaces. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 can be an XY polynomial surface, a fringe Zernike polynomial surface, a Zernike polynomial surface, or a Q2D free-form surface. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all designed with the optical axis M2 of the reflecting surface 42 as the design reference axis.

[0031] Here, the liquid crystal panel 18 of the image forming unit 2 is disposed on the reduction-side conjugate plane of the optical system 3A. The liquid crystal panel 18 forms a projected image in the Z2 direction of the first optical axis N. The screen S is disposed on the enlargement-side conjugate plane of the optical system 3A. The screen S is positioned in the Z1 direction of the first optical axis N. The height direction of the screen is along the Y axis, and the width direction of the screen is along the X axis.

[0032] Furthermore, the optical system 3A forms an intermediate image 35 between the reduction side conjugate surface and the enlargement side conjugate surface, the intermediate image 35 being conjugate with the reduction side conjugate surface and the enlargement side conjugate surface. In this example, the intermediate image 35 is formed between the light reflecting surface 33a of the deflection member 33 and the reflecting surface 42 of the lens 34. More specifically, the intermediate image 35 is formed between the first transmitting surface 41 and the reflecting surface 42 of the lens 34. The intermediate image 35 is located in the Y1 direction of the optical axis M2 of the reflecting surface 42.

[0033] (Lens data) The lens data for optical system 3A is as follows. Surface numbers are assigned in order from the reduction side to the enlargement side. Reference symbols are those of the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen. Data for surface numbers that do not correspond to the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen are dummy data. R is the radius of curvature. D is the on-axis surface spacing. C is the aperture radius, and twice the aperture radius is the diameter of the lens surface. R, D, and C are in mm.

[0034] Symbol Surface number Shape RD Glass material Refraction / Reflection C 18 0 Sphere Infinity 5.0771 Refraction 0.0000 19 1 Sphere Infinity 21.5089 SBSL7_OHARA Refraction 7.5728 2 sphere infinity 3.0000 refraction 9.6430 3 Sphere Infinity 0.0000 Refraction 10.1058 4 sphere infinity 0.0000 refraction 10.1058 5 sphere infinity 0.0000 refraction 10.1058 L1 6 sphere 55.9095 4.0253 483013.8026 Refraction 10.2531 7 sphere -27.1743 0.1000 Refraction 10.2965 L2 8 sphere 47.4385 5.3129 450307.8288 Refraction 9.8482 L3 9 Sphere -14.8933 1.0000 842065.2841 Refraction 9.7421 10 sphere -54.8116 1.3950 Refraction 9.9917 L4 11 Sphere 32.2801 4.0889 456482.8109 Refraction 9.8711 L5 12 Sphere -26.7096 4.1270 482866.803 Refraction 9.7888 13 Sphere -16.6304 0.2445 Refraction 9.4546 L6 14 Sphere -15.7295 1.0000 836586.351 Refraction 9.3576 15 Sphere -36.9184 0.4170 Refraction 9.5770 L7 16 Sphere -25.5127 2.4076 481806.6937 Refraction 9.5929 17 Sphere -16.0024 11.0686 Refraction 8.0771 O 18 Sphere Infinity 0.1000 Refraction 4.8152 L8 19 Sphere 49.0908 1.0000 642496.4376 Refraction 4.7864 20 sphere 24.9317 0.2391 refraction 5.2226 L9 21 Sphere 48.6771 3.1071 731417.2722 Refraction 5.2289 L10 22 Sphere -9.9808 15.8582 777487.4899 Refraction 5.1966 23 Sphere 118.5765 21.9159 Refraction 7.3812 L11 24 Sphere 25.5893 10.7217 547355.6835 Refraction 15.6189 25 Sphere -31.1716 0.8054 Refraction 15.4891 L12 26 Sphere -28.1574 1.5354 846295.2379 Refraction 15.1358 27 Sphere -276.8057 1.1363 Refraction 15.4014 L13 28 Aspheric 82.0346 4.3765 E48R_ZEON Refractive 15.3958 29 Aspheric -91.3792 2.4865 Refractive 15.6595 L14 30 Aspheric -155.531 5.0911 E48R_ZEON Refractive 15.1811 31 Aspheric 47.0246 0.2132 Refractive 17.1113 32 Sphere Infinity 20.0000 Refraction 16.7997 33 Sphere Infinity 0.0000 Refraction 21.5257 33 34 Anamorphic Surface 967.3805 0.0000 Reflection 13.4274 35 Sphere Infinity 0.0000 Refraction 15.4599 36 Sphere Infinity -4.0000 Refraction 15.4599 41 37 Anamorphic Surface 34.2605 -23.4735 Z330R_ZEON Refraction 15.1254 38 Sphere Infinity 0.0000 Z330R_ZEON Refraction 13.3076 42 39 Anamorphic Surface 8.8508 0.0000 Z330R_ZEON Reflection 13.2270 40 spheres Infinity 23.4735 Z330R_ZEON Refraction 32.4939 43 41 Anamorphic Surface -24.1854 65.8130 Refraction 17.2197 42 Sphere Infinity 56.8385 Refraction 333.9991 43 Sphere Infinity 180.0883 Refraction 561.3098 S 44 Sphere Infinity 0.0000 Refraction 1282.8575

[0035] The aspheric coefficients are as follows:

[0036] Face number S28 S29 S30 S31 Y radius of curvature 82.0346 -91.3792 -155.5310 47.0246 Conic constant (K) 21.76618956 -61.82417386 90 0 4th order coefficient (A) -4.63110E-05 -1.90366E-05 -6.15509E-05 -1.46009E-04 6th order coefficient (B) -1.18770E-08 -3.09851E-07 -3.53831E-07 2.74250E-07 8th order coefficient (C) -2.97251E-10 4.31672E-10 9.90327E-10 -2.71262E-10

[0037] The coefficients of each anamorphic surface are as follows:

[0038] Surface number S34 S37 S39 S41 X radius of curvature 967.3805 34.2605 8.8508 -24.1854 Y radius of curvature -51042.3167 35.1877 11.5067 -16.5806 Y Conic constant 0 -85.14430 -3.95502 -0.03193 Y4th order coefficient 4.83961E-14 -9.19132E-05 5.42411E-05 -1.29994E-05 Y6th coefficient -2.28441E-09 3.84046E-07 -3.48032E-07 1.93392E-07 Y8th coefficient 6.25519E-12 -1.10416E-09 1.17205E-09 -7.25471E-10 Y10th coefficient 4.86331E-15 8.07984E-13 -2.06713E-12 9.27923E-13 X Conic constant 0 -65.23158 -2.89645 0.83773 X4th order coefficient 2.17324E+03 -8.20698E-04 9.70725E-02 -1.82868E-01 X6th coefficient 4.05570E-01 7.11271E-03 6.09435E-02 2.05477E-01 X8th coefficient -2.31214E-01 5.07927E-03 6.07235E-02 2.08498E-01 X10th coefficient 9.71706E-01 -2.58030E-02 4.16617E-02 2.02584E-01

[0039] The screen width expansion ratio, display device width, numerical aperture, and TR of optical system 3A are as follows. The screen width expansion ratio is the horizontal value in the aspect ratio of the enlarged image projected onto screen S divided by the horizontal value in the aspect ratio of the projected image formed on the surface of liquid crystal panel 18. The display device width is the width dimension on the surface of liquid crystal panel 18, and is expressed in mm. The numerical aperture is expressed in NA. TR is the throw ratio, and is the value obtained by dividing the projection distance by the dimension in the X-axis direction when the projected image is projected onto screen S.

[0040] Screen width expansion rate 1.35 Display device width [mm] 8.2 NA 0.198 TR(0.37”16:9) 0.169

[0041] Here, the screen width enlargement ratio of this example will be described with reference to Figs. 5 and 6. Fig. 5 is a diagram showing the range of the projected image P1 on the liquid crystal panel 18. Fig. 6 is a diagram showing the range of the enlarged image P2 on the screen S. In the right half of the projected image P1 in Fig. 5, the positions of nine light beams A1 to A9 are set. "A4" in Fig. 5 indicates the central light beam at the center of the projected image P1. In the enlarged image P2 in Fig. 6, the positions A1 to A9 indicate the positions reached by the light beams emitted from A1 to A9 of the projected image P1. The optical system 3A of this example projects onto the screen S an enlarged image P2 whose horizontal value in the aspect ratio is "1.35" times the horizontal value in the aspect ratio of the projected image P1 formed on the liquid crystal panel 18.

[0042] (Effects of Example 1) This example is an optical system 3A that forms an intermediate image 35 between a reduction-side conjugate plane and a magnification-side conjugate plane, and includes a first optical system 31 and a second optical system 32 disposed on the magnification side of the first optical system 31. The first optical system 31 includes a deflector 33 having a light reflecting surface 33a on the most magnification side. The second optical system 32 includes a lens having, in order from the reduction side to the magnification side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The reflecting surface 42 and the light reflecting surface 33a have free-form curved shapes.

[0043] According to this example, the reflecting surface 42 of the lens 34 and the light reflecting surface 33a of the deflecting member 33 have a free curved surface shape. Therefore, the aspect ratio can be converted between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane by the action of the reflecting surface 42 and the light reflecting surface 33a. Therefore, compared to the case where the aspect ratio of the projected image and the enlarged image is converted by the action of only the reflecting surface 42, for example, this example has a high degree of freedom in converting the aspect ratio. As a result, in this example, the aspect ratio of the projected image and the enlarged image can be converted by enlarging the X-axis direction of the projected image.

[0044] In this example, the first transmitting surface 41 and the second transmitting surface 43 have a free-form surface shape. This allows the aspect ratio to be converted between the projected image on the reduction-side conjugate surface and the enlarged image on the enlargement-side conjugate surface by the actions of the reflecting surface 42, the light reflecting surface 33a, the first transmitting surface 41, and the second transmitting surface 43. Therefore, this example can increase the amount of conversion compared to the case where the aspect ratio is converted by the actions of two surfaces, the reflecting surface 42 and the light reflecting surface 33a. This allows the screen width expansion rate to be 1.35 times in this example.

[0045] In this example, the intermediate image 35 is located on the reduction side relative to the reflecting surface 42. Therefore, the intermediate image 35 can be enlarged by utilizing the reflecting surface 42 and the second transmitting surface 43. Therefore, the magnification of the optical system can be increased.

[0046] In this example, the second transmitting surface 43 has a convex shape that protrudes toward the enlargement side. In this way, it becomes easier to increase the magnification of the optical system.

[0047] In this example, the intermediate image 35 is located between the reflecting surface 42 and the first transmitting surface 41. Therefore, compared to the case where the intermediate image 35 is formed between the lens 34 and the deflecting member 33, in this example, the lens 34 and the deflecting member 33 can be brought closer together. This makes it easier to make the optical system compact.

[0048] In this example, the first transmitting surface 41 has a convex shape that protrudes toward the reduction side. Therefore, it is easy to form the intermediate image between the first transmitting surface 41 and the reflecting surface .

[0049] In this example, when the three mutually orthogonal axes are the X-axis (third axis), the Y-axis (second axis), and the Z-axis (first axis), and the optical axis M2 of the lens 34 is aligned with the Z-axis, the first transmitting surface 41 and the reflecting surface 42 are arranged along the Z-axis, and the first transmitting surface 41 and the second transmitting surface 43 are arranged along the Y-axis. When a virtual plane including the Z-axis and the Y-axis is defined as the first plane, the reflecting surface 42 has a shape symmetrical with respect to the first plane. Therefore, even when the reflecting surface 42 has a free-form surface shape, the design of the reflecting surface 42 is easy. Furthermore, when the reflecting surface 42 has a shape symmetrical with respect to the first plane, the manufacturing of the reflecting surface 42 is easy.

[0050] Furthermore, in this example, the second transmitting surface 43 has a shape symmetrical with respect to the first plane. Therefore, even if the second transmitting surface 43 has a free-form surface shape, the second transmitting surface 43 can be easily designed. Furthermore, if the second transmitting surface 43 has a shape symmetrical with respect to the first plane, the second transmitting surface 43 can be easily manufactured. Similarly, in this example, the first transmitting surface 41 has a shape symmetrical with respect to the first plane. Therefore, even if the first transmitting surface 41 has a free-form surface shape, the first transmitting surface 41 can be easily designed. Furthermore, if the first transmitting surface 41 has a shape symmetrical with respect to the first plane, the first transmitting surface 41 can be easily manufactured.

[0051] In this example, the deflection member 33 is offset in the Z1 direction from the first optical axis N, and the light reflecting surface 33a is located in the Z1 direction of the first optical axis N. If the light reflecting surface 33a is located on one side of the first optical axis N, it becomes easy to correct aberrations by utilizing the light reflecting surface 33a.

[0052] Here, the design axis M1 of the light reflecting surface 33a is set to a position C through which passes a chief ray 100 of the light rays passing through the light reflecting surface 33a in the Y1 direction of the first optical axis N. Position C is the chief ray of the central light beam at the center of the projected image P1. If the light reflecting surface 33a is designed based on such a design axis, it is easy to design the light reflecting surface 33a to correct the aberration of the optical system.

[0053] Figures 7 and 8 are diagrams showing lateral aberration of a magnified image by optical system 3A. In Figures 7 and 8, A1 to A9 correspond to the positions of light beams A1 to A9 in magnified image P2 in Figure 6. As shown in Figures 7 and 8, optical system 3A of this example suppresses lateral aberration in a magnified image.

[0054] Example 2 FIG. 9 is a ray diagram that shows a schematic representation of the entire optical system of Example 2. In FIG. 9, light beams reaching the screen S from the optical system 3B of this example are shown typically as light beams F1 to F3. Light beam F1 is a light beam that reaches a position with the lowest image height. Light beam F3 is a light beam that reaches a position with the highest image height. Light beam F2 is a light beam that reaches a position between light beams F1 and F3. FIG. 10 is a ray diagram of the optical system 3B of Example 2. FIG. 11 is a ray diagram of the lens located on the most enlarged side of the first optical system, the deflecting member, and the second optical system.

[0055] As shown in FIG. 10, the optical system 3B of this example is made up of a first optical system 31 and a second optical system 32, in that order from the reduction side to the enlargement side.

[0056] The first optical system 31 has 14 lenses L1 to L14 and a deflection member 33. The lenses L1 to L14 are arranged in this order from the reduction side to the enlargement side. In this example, the lenses L2 and L3 are cemented together to form a first cemented lens L21. The lenses L4 and L5 are cemented together to form a second cemented lens L22. The lenses L9 and L10 are cemented together to form a third cemented lens L23. An aperture O is arranged between the lenses L7 and L8.

[0057] The deflection member 33 is disposed on the enlargement side of the lens L14. The deflection member 33 is a reflection mirror having a light reflecting surface 33a. The deflection member 33 is disposed at a position offset to one side with respect to the first optical axis N of the lenses L1 to L14. As a result, the light reflecting surface 33a is located on one side of the first optical axis N. The light reflecting surface 33a is inclined at 45° with respect to the first optical axis N. The light beam emitted from the lens L14 to the light reflecting surface 33a travels in a direction away from the first optical axis N. The optical path of the light beam emitted from the lens L14 to the enlargement side is bent by the light reflecting surface 33a in a direction perpendicular to the first optical axis N.

[0058] Here, the light reflecting surface 33a is flat. The design axis M1 of the light reflecting surface 33a is set at a position C through which a chief ray 100 of light passing through the light reflecting surface 33a in the Y1 direction of the first optical axis N passes.

[0059] The second optical system 32 is composed of one lens 34. The lens 34 is made of glass or resin. The lens 34 is disposed in the Z2 direction of the deflection member 33. More specifically, the lens 34 is disposed on the opposite side of the light reflecting surface 33a across the first optical axis N. The lens 34 has a first surface 36 facing the Z1 direction and a second surface 37 facing the Y2 direction. Both the first surface 36 and the second surface 37 have a convex shape. The optical axis M2 of the lens 34 extends in the Z-axis direction. Therefore, the optical axis M2 of the lens 34 and the first optical axis N of the lenses L1 to L14 of the first optical system 31 are perpendicular to each other. In addition, the lens 34 has a reflective coating layer on the second surface 37.

[0060] The lens 34 includes, in order from the reduction side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The first transmitting surface 41 is provided on the first surface. Therefore, the first transmitting surface 41 has a convex shape. The reflecting surface 42 is a reflecting coating layer provided on the second surface 37 of the lens 34. Therefore, the reflecting surface 42 has a concave shape to which the surface shape of the second surface 37 is transferred. The optical axis of the surface 42 coincides with the optical axis M2 of the lens 34. The first transmitting surface 41 and the reflecting surface 42 are The first transmitting surface 41 and the reflecting surface 42 are arranged in the Z-axis direction. 2 The second transmitting surface 43 is provided on the first surface 36. The surface 43 has a convex shape. The first transmitting surface 41 and the second transmitting surface 43 are arranged in the Y-axis direction. The second transmitting surface 43 is aligned with the Y axis M2 of the lens 34. 1 Located in the direction.

[0061] In this example, the first transmitting surface 41 has an aspheric shape. The reflecting surface 42 and the second transmitting surface 43 all have free-form shapes. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 all have shapes symmetrical with respect to the first plane. The reflecting surface 42 and the second transmitting surface 43 all have anamorphic surfaces. The reflecting surface 42 and the second transmitting surface 43 can be an XY polynomial surface, a fringe Zernike polynomial surface, a Zernike polynomial surface, or a Q2D free-form surface. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all designed with the optical axis M2 of the reflecting surface 42 as the design reference axis.

[0062] Here, the liquid crystal panel 18 of the image forming unit 2 is disposed on the reduction-side conjugate plane of the optical system 3B. The liquid crystal panel 18 forms a projected image in the Z2 direction of the first optical axis N. The screen S is disposed on the enlargement-side conjugate plane of the optical system 3B. The screen S is positioned in the Z1 direction of the first optical axis N. The height direction of the screen is along the Y axis, and the width direction of the screen is along the X axis.

[0063] Furthermore, the optical system 3B forms an intermediate image 35 between the reduction side conjugate surface and the enlargement side conjugate surface, the intermediate image 35 being conjugate with the reduction side conjugate surface and the enlargement side conjugate surface. In this example, the intermediate image 35 is formed between the light reflecting surface 33a of the deflection member 33 and the reflecting surface 42 of the lens 34. More specifically, the intermediate image 35 is formed between the first transmitting surface 41 and the reflecting surface 42 of the lens 34. The intermediate image 35 is located in the Y1 direction of the optical axis M2 of the reflecting surface 42. (Lens data) The lens data for optical system 3B is as follows. Surface numbers are assigned in order from the reduction side to the enlargement side. Reference symbols are those of the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen. Data for surface numbers that do not correspond to the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen are dummy data. R is the radius of curvature. D is the on-axis surface spacing. C is the aperture radius, and twice the aperture radius is the diameter of the lens surface. R, D, and C are in mm.

[0064] Symbol Surface number Shape RD Glass material Refraction / Reflection C 18 0 Sphere Infinity 5.0771 Refraction 0.0000 19 1 Sphere Infinity 21.5089 SBSL7_OHARA Refraction 7.4712 2 sphere infinity 3.0000 refraction 9.2120 3 Sphere Infinity 0.0000 Refraction 9.5974 4 sphere infinity 0.0000 refraction 9.5974 5 sphere infinity 0.0000 refraction 9.5974 L1 6 Sphere 65.4704 4.1260 488931.7885 Refraction 9.6906 7 Sphere -25.8779 0.1000 Refraction 9.7448 L2 8 sphere 44.9399 5.4647 451548.8296 Refraction 9.2948 L3 9 Sphere -15.1508 1.0000 841501.2942 Refraction 9.0409 10 sphere -56.8514 1.2690 Refraction 9.1583 L4 11 Sphere 30.3942 5.8367 461122.8106 Refraction 8.9197 L5 12 Sphere -31.3995 3.3918 496228.7721 Refraction 8.4395 13 Sphere -17.1030 0.1752 Refraction 8.1083 L6 14 Sphere -16.3515 1.0000 837496.3489 Refraction 8.0387 15 Sphere -41.2304 0.4240 Refraction 8.0687 L7 16 Sphere -27.3170 2.3815 486259.7942 Refraction 8.0684 17 Sphere -16.6374 11.0686 Refraction 8.0771 O 18 Sphere Infinity 0.1000 Refraction 4.7977 L8 19 Sphere 571.6975 1.0000 712249.3669 Refraction 4.7864 20 sphere 28.6986 0.1392 Refraction 4.9318 L9 21 Sphere 42.0590 3.3056 733962.2712 Refraction 4.9327 L10 22 Sphere -9.4250 6.8878 774045.4946 Refraction 5.1253 23 Sphere -292.8891 27.6142 Refraction 6.3334 L11 24 sphere 27.2471 10.2488 555410.6726 Refraction 15.0865 25 sphere -29.4496 0.5422 Refraction 14.9584 L12 26 Sphere -27.3146 1.2583 846663.2378 Refraction 14.7737 27 Sphere -192.8773 0.2815 Refraction 15.0640 L13 28 Aspheric 47.2244 2.9887 E48R_ZEON Refractive 15.0640 29 Aspheric 133.9404 2.1048 Refractive 15.3315 L14 30 Aspheric 171.9435 5.0055 E48R_ZEON Refractive 15.2325 31 Aspheric 39.9613 0.2905 Refractive 16.5855 32 Sphere Infinity 20.0000 Refraction 16.2826 33 Sphere Infinity 0.0000 Refraction 20.7493 33 34 Sphere Infinity 0.0000 Reflection 13.1400 35 Sphere Infinity 0.0000 Refraction 14.7281 36 Sphere Infinity -4.0000 Refraction 14.7281 41 37 Aspheric 27.7983 -23.4735 Z330R_ZEON Refractive 14.4036 38 Sphere Infinity 0.0000 Z330R_ZEON Refraction 13.0528 42 39 Anamorphic Surface 9.5677 0.0000 Z330R_ZEON Reflection 12.8083 40 spheres Infinity 23.4735 Z330R_ZEON Refraction 28.8972 43 41 Anamorphic Surface -22.4938 65.8130 Refraction 16.9147 42 Sphere Infinity 56.8385 Refraction 316.3379 43 Sphere Infinity 180.0883 Refraction 531.2282 S 44 Sphere Infinity 0.0000 Refraction 1212.0922

[0065] The aspheric coefficients are as follows:

[0066] Face number S28 S29 S30 Y radius of curvature 47.2244 133.9404 171.9435 Conic constant (K) -1.95000125 60.74248698 90 4th order coefficient (A) -4.83769E-05 -2.10815E-05 -6.13575E-05 6th order coefficient (B) -4.13808E-09 -3.24296E-07 -3.39127E-07 8th order coefficient (C) -2.55845E-10 4.24487E-10 9.35575E-10 10th order coefficient (D) 12th order coefficient (E)

[0067] Surface number S31 S37 Y radius of curvature 39.9613 27.7983 Conic constant (K) 0 -28.28853946 4th order coefficient (A) -1.49990E-04 -6.92710E-05 6th order coefficient (B) 2.68632E-07 2.63497E-07 8th order coefficient (C) -2.37928E-10 -1.26383E-09 10th order coefficient (D) 2.59141E-12 12th order coefficient (E) -3.00520E-15

[0068] The coefficients of each anamorphic surface are as follows:

[0069] Surface number S39 S41 X radius of curvature 9.5677 -22.4938 Y radius of curvature 11.7375 -15.5594 Y Conic constant -3.190223057 -0.10651 Y4th order coefficient 6.47141E-05 -8.33250E-06 Y6th coefficient -3.75860E-07 1.92339E-07 Y8th coefficient 1.13758E-09 -7.70099E-10 Y10th coefficient -1.79033E-12 1.07800E-12 X Conic constant -3.450952392 0.54644 X4th order coefficient -6.05044E-02 -1.40604E-01 X6th coefficient -3.24341E-02 2.79707E-01 X8th coefficient -1.09859E-02 2.66535E-01 X10th coefficient -7.88576E-03 2.56702E-01

[0070] The screen width expansion ratio, display device width, numerical aperture, and TR of optical system 3B are as follows. The screen width expansion ratio is the horizontal value in the aspect ratio of the enlarged image projected onto screen S divided by the horizontal value in the aspect ratio of the projected image formed on the surface of liquid crystal panel 18. The display device width is the width dimension on the surface of liquid crystal panel 18, and is expressed in mm. The numerical aperture is expressed in NA. TR is the throw ratio, and is the value obtained by dividing the projection distance by the dimension in the X-axis direction when the projected image is projected onto screen S.

[0071] Screen width expansion rate 1.22 Display device width [mm] 8.2 NA 0.196 TR(0.37”16:9) 0.186

[0072] Here, the screen width enlargement ratio of this example will be described with reference to Figs. 12 and 13. Fig. 12 is a diagram showing the range of the projected image P1 on the liquid crystal panel 18. Fig. 13 is a diagram showing the range of the enlarged image P2 on the screen S. In the right half of the projected image P1 in Fig. 12, the positions of nine light beams A1 to A9 are set. "A4" in Fig. 12 indicates the central light beam at the center of the projected image P1. In the enlarged image P2 in Fig. 13, the positions A1 to A9 indicate the positions reached by the light beams emitted from A1 to A9 of the projected image P1. The optical system 3B of this example projects onto the screen S an enlarged image P2 whose horizontal value in the aspect ratio is "1.22" times the horizontal value in the aspect ratio of the projected image P1 formed on the liquid crystal panel 18. (Effects of Example 2) In this example, an optical system 3B that forms an intermediate image 35 between a reduction-side conjugate surface and a magnification-side conjugate surface has a first optical system 31 and a second optical system 32 disposed on the magnification side of the first optical system 31. The second optical system 32 has a lens 34 having, in order from the reduction side to the magnification side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The reflecting surface 42 and the second transmitting surface 43 have free-form curved shapes.

[0073] In the optical system 3B of this example, the reflecting surface 42 and the second transmitting surface 43 have a free curved surface shape. Therefore, the aspect ratio can be converted between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane by the action of the reflecting surface 42 and the second transmitting surface 43. Therefore, compared to the case where the aspect ratio of the projected image and the enlarged image is converted by the action of only the reflecting surface 42, for example, this example has a high degree of freedom in converting the aspect ratio. As a result, in this example, the aspect ratio of the projected image and the enlarged image can be converted by enlarging the X-axis direction of the projected image.

[0074] Here, in this example, the aspect ratio is converted between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane by the action of two surfaces, the reflecting surface 42 and the second transmitting surface 43. Therefore, the amount of change in aspect ratio is smaller than that in the optical system of Example 1, which converts the aspect ratio by the action of four surfaces. However, except for this point, the same effect as the optical system of Example 1 can be obtained.

[0075] In addition, in this example, the light reflecting surface 33a of the deflection member 33 is flat. This makes it possible to reduce the manufacturing cost of the deflection member 33. This makes it possible to reduce the manufacturing cost of the optical system.

[0076] Figures 14 and 15 are diagrams showing the lateral aberration of the magnified image by optical system 3B. In Figures 14 and 15, A1 to A9 correspond to the positions of the light beams A1 to A9 in magnified image P2 in Figure 13. As shown in Figures 14 and 15, optical system 3B of this example suppresses the lateral aberration in the magnified image.

[0077] In this example, the deflection member 33 can be omitted. In this case, for example, the lens 34 is disposed on the first optical axis N of the lenses L1 to L14, and the optical axis M2 of the lens 34 is made to coincide with the first optical axis N. Then, the light beam traveling from L14 toward the enlargement side is made incident on the first transmitting surface 41.

[0078] Example 3 FIG. 16 is a ray diagram that illustrates the overall optical system of the third embodiment. 6 So, in this example The light beams reaching the screen S from the optical system 3C are shown diagrammatically as light beams F1 to F3. The light beam F1 reaches the position where the image height is the lowest. The light beam F3 reaches the position where the image height is the highest. The light beam F2 is a light beam that reaches a position between the light beams F1 and F3. 7 FIG. 1 is a ray diagram of an optical system 3C according to a third embodiment. 8 is located on the most magnifying side of the first optical system. 4 is a ray diagram of the lens, the deflection member, and the second optical system.

[0079] As shown in FIG. 17, the optical system 3C of this example is made up of a first optical system 31 and a second optical system 32, in that order from the reduction side to the enlargement side.

[0080] The first optical system 31 has 14 lenses L1 to L14 and a deflection member 33. The lenses L1 to L14 are arranged in this order from the reduction side to the enlargement side. In this example, the lenses L2 and L3 are cemented together to form a first cemented lens L21. The lenses L4 and L5 are cemented together to form a second cemented lens L22. The lenses L9 and L10 are cemented together to form a third cemented lens L23. An aperture O is arranged between the lenses L7 and L8.

[0081] The deflection member 33 is disposed on the enlargement side of the lens L14. The deflection member 33 is a reflection mirror having a light reflecting surface 33a. The deflection member 33 is disposed at a position offset to one side with respect to the first optical axis N of the lenses L1 to L14. As a result, the light reflecting surface 33a is located on one side of the first optical axis N. The light reflecting surface 33a is inclined at 45° with respect to the first optical axis N. The light beam emitted from the lens L14 to the light reflecting surface 33a travels in a direction away from the first optical axis N. The optical path of the light beam emitted from the lens L14 to the enlargement side is bent by the light reflecting surface 33a in a direction perpendicular to the first optical axis N.

[0082] Here, the light reflecting surface 33a has a free curved surface shape. In addition, when a virtual plane including the Y axis and the Z axis is set as a first plane, the light reflecting surface 33a has a shape symmetrical with respect to the first plane. In this example, the light reflecting surface 33a is an anamorphic surface. In addition, the light reflecting surface 33a can also be an XY polynomial surface, a fringe Zernike polynomial surface, a Zernike polynomial surface, or a Q2D free curved surface. The design axis M1 of the light reflecting surface 33a is set at a position C where a chief ray 100 of a light ray passing through the light reflecting surface 33a passes in the Y1 direction of the first optical axis N.

[0083] The second optical system 32 is composed of one lens 34. The lens 34 is made of glass or resin. The lens 34 is disposed in the Z2 direction of the deflection member 33. More specifically, the lens 34 is disposed on the opposite side of the light reflecting surface 33a across the first optical axis N. The lens 34 has a first surface 36 facing the Z1 direction and a second surface 37 facing the Y2 direction. Both the first surface 36 and the second surface 37 have a convex shape. The optical axis M2 of the lens 34 extends in the Z-axis direction. Therefore, the optical axis M2 of the lens 34 and the first optical axis N of the lenses L1 to L14 of the first optical system 31 are perpendicular to each other. In addition, the lens 34 has a reflective coating layer on the second surface 37.

[0084] The lens 34 has, in order from the reduction side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The first transmitting surface 41 is provided on the first surface. Therefore, the first transmitting surface 41 has a convex shape. The reflecting surface 42 is a reflective coating layer provided on the second surface 37 of the lens 34. Therefore, the reflecting surface 42 has a concave shape to which the surface shape of the second surface 37 is transferred. The optical axis of the reflecting surface 42 coincides with the optical axis M2 of the lens 34. The first transmitting surface 41 and the reflecting surface 42 are arranged in the Z-axis direction. The first transmitting surface 41 and the reflecting surface 42 are located in the Y1 direction of the optical axis M2 of the lens 34. The second transmitting surface 43 is provided on the first surface 36. Therefore, the second transmitting surface 43 has a convex shape. The first transmitting surface 41 and the second transmitting surface 43 are arranged in the Y-axis direction. The second transmitting surface 43 is located in the Y2 direction of the optical axis M2 of the lens 34.

[0085] In this example, the first transmitting surface 41 and the second transmitting surface 43 are all aspheric. The reflecting surface 42 is a free-form surface. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all symmetrical with respect to the first plane. The reflecting surface 42 is all an anamorphic surface. The reflecting surface 42 can be an XY polynomial surface, a fringe Zernike polynomial surface, a Zernike polynomial surface, or a Q2D free-form surface. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all designed with the optical axis M2 of the reflecting surface 42 as the design reference axis.

[0086] Here, the liquid crystal panel 18 of the image forming unit 2 is disposed on the reduction-side conjugate surface of the optical system 3C. The liquid crystal panel 18 forms a projected image in the Z2 direction of the first optical axis N. C Expansion of A screen S is disposed on the large conjugate surface. The screen S is aligned in the Z1 direction of the first optical axis N. The height direction of the screen is along the Y axis, and the width direction of the screen is along the Y axis. is the direction along the X axis.

[0087] In addition, the optical system 3C has a reduction side conjugate surface and a magnification side conjugate surface between the reduction side conjugate surface and the magnification side conjugate surface. In this example, the intermediate image 35 is formed by the deflection member 33. It is formed between the light reflecting surface 33a and the reflecting surface 42 of the lens 34. More specifically, The image 35 is formed between the first transmitting surface 41 and the reflecting surface 42 of the lens 34. The intermediate image 35 is , Y of the optical axis M2 of the reflecting surface 42 2 Located in the direction.

[0088] (Lens data) The lens data for optical system 3C is as follows. Surface numbers are assigned in order from the reduction side to the enlargement side. The symbols are those of the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen. Data for surface numbers that do not correspond to the liquid crystal panel, dichroic prism, lens, deflection member, first transmitting surface, reflecting surface, second transmitting surface, and screen are dummy data. R is the radius of curvature. D is the on-axis surface spacing. C is the aperture radius, and twice the aperture radius is the diameter of the lens surface. The units for R, D, and C are mm.

[0089] Symbol Surface number Shape RD Glass material Refraction / Reflection C 18 0 Sphere Infinity 5.0771 Refraction 0.0000 19 1 Sphere Infinity 21.5089 SBSL7_OHARA Refraction 7.4449 2 sphere infinity 3.0000 refraction 9.1098 3 Sphere Infinity 0.0000 Refraction 9.4786 4 sphere infinity 0.0000 refraction 9.4786 5 Sphere Infinity 0.0000 Refraction 9.4786 L1 6 sphere 57.0713 4.0187 494003.7770 Refraction 9.5788 7 Sphere -27.9108 0.1000 Refraction 9.6162 L2 8 sphere 38.4451 5.4144 451900.8212 Refraction 9.1787 L3 9 Sphere -15.5676 1.0000 841501.2862 Refraction 8.9103 10 sphere -49.4213 0.1000 Refraction 8.9688 L4 11 Sphere 31.9049 3.7009 458439.7915 Refraction 8.7089 L5 12 Sphere -36.6050 2.3396 469827.7958 Refraction 8.4515 13 Sphere -19.3008 0.1717 Refraction 8.1998 L6 14 Sphere -17.8217 1.0000 830670.3657 Refraction 8.1982 15 Sphere -41.7100 0.8200 Refraction 8.1818 L7 16 Sphere -27.6160 2.3528 491879.5658 Refraction 8.1040 17 Sphere -16.9399 11.0686 Refraction 8.0771 O 18 Sphere Infinity 0.7894 Refraction 4.9102 L8 19 Sphere 49.5988 1.9135 691223.5549 Refraction 4.7864 20 sphere 23.5700 0.2048 Refraction 4.9513 L9 21 Sphere 38.0540 3.2571 710409.2810 Refraction 4.9520 L10 22 Sphere -9.8627 20.0000 797169.4654 Refraction 5.1211 23 Sphere 62.6996 9.6112 Refraction 8.3667 L11 24 sphere 28.2951 9.7032 592555.4540 Refraction 13.8385 25 sphere -23.2121 0.4848 refraction 13.8553 L12 26 Sphere -21.6667 1.0000 846663.2378 Refraction 13.7635 27 Sphere -120.7690 1.6952 Refraction 14.5205 L13 28 Aspheric 39.9257 4.5299 E48R_ZEON Refractive 14.9486 29 Aspheric 152.3076 2.2365 Refractive 15.4052 L14 30 Aspheric 244.0190 4.1639 E48R_ZEON Refractive 15.3207 31 Aspheric 39.2850 0.3068 Refractive 16.5913 32 Sphere Infinity 20.0000 Refraction 16.5529 33 Sphere Infinity 0.0000 Refraction 21.5996 33 34 Anamorphic Surface 451.8107 0.0000 Reflection 13.0178 35 Sphere Infinity 0.0000 Refraction 16.5293 36 Sphere Infinity -4.0000 Refraction 16.5293 41 37 Aspheric -107.8255 -23.4735 Z330R_ZEON Refractive 16.6719 38 Sphere Infinity 0.0000 Z330R_ZEON Refraction 12.4050 42 39 Anamorphic Surface 11.9050 0.0000 Z330R_ZEON Reflection 13.2834 40 spheres Infinity 23.4735 Z330R_ZEON Refraction 24.8649 43 41 Aspheric -30.3036 65.8130 Refractive 18.0813 42 Sphere Infinity 56.8385 Refraction 305.8360 43 Sphere Infinity 180.0883 Refraction 523.5620 S 44 Sphere Infinity 0.0000 Refraction 1213.4099

[0090] The aspheric coefficients are as follows:

[0091] Face number S28 S29 S30 Y radius of curvature 39.9257 152.3076 244.0190 Conic constant (K) -0.297488839 32.95732564 90 4th order coefficient (A) -5.01388E-05 -2.03391E-05 -6.39742E-05 6th order coefficient (B) 1.47280E-08 -3.29737E-07 -3.36064E-07 8th order coefficient (C) -2.63287E-10 4.87510E-10 1.05875E-09 10th order coefficient (D) 12th order coefficient (E)

[0092] Surface number S31 S37 S41 Y radius of curvature 39.2850 -107.8255 -30.3036 Conic constant (K) 0 15.00641391 1.467641123 4th order coefficient (A) -1.48251E-04 -7.63360E-05 -2.35968E-05 6th order coefficient (B) 2.77482E-07 2.50708E-07 1.66107E-07 8th order coefficient (C) -2.20173E-10 -9.17212E-10 -8.79862E-10 10th order coefficient (D) 1.87990E-12 2.30362E-12 12th order coefficient (E) -2.08377E-15 -2.57301E-15

[0093] The coefficients of each anamorphic surface are as follows:

[0094] Surface number S34 S39 X radius of curvature 451.8107 11.9050 Y radius of curvature 2153.0363 13.3158 Y Conic constant 0 -4.12613 Y4th order coefficient 3.41771E-09 4.33133E-05 Y6th coefficient -2.99901E-10 -3.63472E-07 Y8th coefficient 8.96537E-14 1.30008E-09 Y10th coefficient -4.70076E-32 -2.49970E-12 X Conic constant 0 -3.41961 X4th order coefficient 6.86587E+00 -4.59189E-04 X6th coefficient -2.43235E-01 -1.32122E-02 X8th coefficient 1.21947E+00 -1.02172E-02 X10th coefficient -2.24052E+03 -9.93177E-03

[0095] The screen width expansion ratio, display device width, numerical aperture, and TR of optical system 3C are as follows. The screen width expansion ratio is the horizontal value in the aspect ratio of the enlarged image projected onto screen S divided by the horizontal value in the aspect ratio of the projected image formed on the surface of liquid crystal panel 18. The display device width is the width dimension on the surface of liquid crystal panel 18, and is expressed in mm. The numerical aperture is indicated in NA. TR is the throw ratio, and is the value obtained by dividing the projection distance by the dimension in the X-axis direction when the projected image is projected onto screen S.

[0096] Screen width expansion rate 1.18 Display device width [mm] 8.2 NA 0.218 TR(0.37”16:9) 0.193

[0097] Here, the screen width expansion ratio of this example will be described with reference to Figs. 19 and 20. Fig. 19 is a diagram showing the range of the projected image P1 on the liquid crystal panel 18. Fig. 20 is a diagram showing the range of the enlarged image P2 on the screen S. In the right half of the projected image P1 in Fig. 19, the positions of nine light beams A1 to A9 are set. "A4" in Fig. 19 indicates the central light beam at the center of the projected image P1. In the enlarged image P2 in Fig. 20, the positions A1 to A9 indicate the positions reached by the light beams emitted from A1 to A9 of the projected image P1. The optical system 3C of this example projects onto the screen S an enlarged image P2 whose horizontal value in the aspect ratio is "1.18" times the horizontal value in the aspect ratio of the projected image P1 formed on the liquid crystal panel 18.

[0098] (Effects of Example 3) This example is an optical system 3C that forms an intermediate image 35 between a reduction-side conjugate plane and a magnification-side conjugate plane, and includes a first optical system 31 and a second optical system 32 disposed on the magnification side of the first optical system 31. The first optical system 31 includes a deflector 33 having a light reflecting surface 33a on the most magnification side. The second optical system 32 includes a lens 34 having, in order from the reduction side to the magnification side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The reflecting surface 42 and the light reflecting surface 33a have free-form curved shapes.

[0099] According to this example, the reflecting surface 42 of the lens 34 and the light reflecting surface 33a of the deflecting member 33 have a free curved surface shape. Therefore, the aspect ratio can be converted between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane by the action of the reflecting surface 42 and the light reflecting surface 33a. Therefore, in this example, the degree of freedom in converting the aspect ratio is high compared to the case where the aspect ratio of the projected image and the enlarged image is converted by the action of only the reflecting surface 42, for example. As a result, in this example, the aspect ratio of the projected image and the enlarged image can be converted by enlarging the X-axis direction of the projected image.

[0100] In this embodiment, the aspect ratio is converted between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane by the action of the reflecting surface 42 of the lens 34 and the light reflecting surface 33a of the deflecting member 33. Therefore, the amount of change in aspect ratio is smaller than that in the optical system of the first embodiment, which converts the aspect ratio by the action of four surfaces. However, except for this point, the same effect as the optical system of the first embodiment can be obtained.

[0101] In this example, the components that provide the free curved surface shape are separated into the deflection member 33 and the lens 34. Therefore, even if there is variation in quality in the lens 34, for example, it is possible to suppress the occurrence of aberration by the quality of the deflection member 33. This improves the productivity of the optical system.

[0102] 21 and 22 are diagrams showing the lateral aberration of the magnified image by the optical system 3C. 22, A1 to A9 are the positions of the light beams A1 to A9 in the enlarged image P2 of FIG. As shown in FIG. 21 and FIG. 22, the optical system 3 of this example corresponds to C is the horizontal axis in the enlarged image. Aberrations are suppressed.

[0103] Example 4 Fig. 23 is a ray diagram of an optical system 3D of Example 3. In Fig. 23, the same components as those in the above-mentioned embodiment are denoted by the same reference numerals, and the description thereof will be omitted. As shown in Fig. 23, the optical system 3D of this example is composed of a first optical system 31 and a second optical system 32, in that order from the reduction side to the enlargement side.

[0104] The first optical system 31 includes a first optical element 38 and a deflection member 39 from the reduction side to the enlargement side. In the description of this example, for convenience, three mutually orthogonal axes are defined as the X-axis, Y-axis, and Z-axis. The Y-axis direction is the arrangement direction of the first optical element 38 and the deflection member 39. The Z-axis direction is the arrangement direction of the liquid crystal panel 18 and the first optical element 38. In the Y-axis direction, the side where the first optical element 38 is located is defined as the Y2 direction, and the side where the deflection member 39 is located is defined as the Y1 direction. In the Z-axis direction, the side where the liquid crystal panel is located is defined as the Z1 direction, and the side where the first optical element 38 is located is defined as the Z2 direction.

[0105] The first optical element 38 has a first surface 51 facing the Z1 direction, a second surface facing the opposite side to the first surface 51, and a third surface 53 facing the Y1 direction. The first optical element 38 has a first reflective coating layer on the Y1 direction side of the first surface 51. Furthermore, the first optical element 38 has a second reflective coating layer on the second surface 52. As a result, the portion of the first surface 51 on the Y2 direction side is the incident surface 61, and the portion of the first surface 51 on the Y1 direction is the first reflecting surface 62. The second surface 52 is the second reflecting surface 63. The third surface 53 is the exit surface 64. A light ray passing through the first optical element 38 from the reduction side to the enlargement side passes through the incident surface 61, the second reflecting surface 63, the first reflecting surface 62, and the exit surface 64 in this order.

[0106] The deflection member 39 has a first surface 56 facing the first optical element 38, a second surface 57 facing the second optical system 32, and a third surface 58 facing the opposite side to the second surface 57. The deflection member 39 has a first reflective coating layer on the Y2 direction side of the second surface 57. The deflection member 39 has a second reflective coating layer on the third surface 58. As a result, the first surface 56 is the incident surface 66. The portion of the second surface 57 on the Y2 direction side is the first reflective surface 67, and the portion of the second surface 57 on the Y1 direction side is the exit surface 68. The third surface 58 is the second reflective surface 69. A light ray passing through the deflection member 39 from the reduction side to the enlargement side passes through the incident surface 66, the first reflective surface 67, the second reflective surface 69, and the exit surface 68 in this order.

[0107] Here, the second reflecting surface 69 (light reflecting surface) has a free curved shape. When a virtual plane including the Y-axis and Z-axis is defined as a first plane, the second reflecting surface 69 has a shape symmetrical with respect to the first plane. In this example, the second reflecting surface 69 is an anamorphic surface.

[0108] The second optical system 32 is composed of one lens 34. The lens 34 is disposed in the Z2 direction of the deflection member 39. The lens 34 has a first surface 36 facing the Z1 direction and a second surface 37 facing the Z2 direction. The first surface 36 and the second surface 37 both have a convex shape. The optical axis M2 of the lens 34 extends in the Z-axis direction.

[0109] The lens 34 has, in order from the reduction side, a first transmitting surface 41, a reflecting surface 42, and a second transmitting surface 43. The first transmitting surface 41 is provided on the first surface 36. Therefore, the first transmitting surface 41 has a convex shape. The reflecting surface 42 is a reflective coating layer provided on the second surface 37 of the lens 34. Therefore, the reflecting surface 42 has a concave shape to which the surface shape of the second surface 37 is transferred. The optical axis of the reflecting surface 42 coincides with the optical axis M2 of the lens 34. The first transmitting surface 41 and the reflecting surface 42 are arranged in the Z-axis direction. The first transmitting surface 41 and the reflecting surface 42 are located in the Y2 direction of the optical axis M2 of the lens 34. The second transmitting surface 43 is provided on the first surface 36. Therefore, the first surface 36 has a convex shape. The first transmitting surface 41 and the second transmitting surface 43 are arranged in the Y-axis direction. The second transmitting surface 43 is located in the Y1 direction of the optical axis M2 of the lens.

[0110] In this example, the first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all free-form surfaces. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all symmetrical with respect to the first plane. The first transmitting surface 41, the reflecting surface 42, and the second transmitting surface 43 are all anamorphic surfaces.

[0111] According to this example, the reflecting surface 42 of the lens 34 and the second reflecting surface 69 of the deflecting member 39 have a free-form surface shape. Therefore, the action of the reflecting surface 42 and the second reflecting surface 69 can convert the aspect ratio between the projected image on the reduction-side conjugate plane and the enlarged image on the enlargement-side conjugate plane. Therefore, compared to, for example, a case in which the aspect ratio of the projected image and the enlarged image is converted by the action of only the reflecting surface of the lens, the degree of freedom in converting the aspect ratio is high. As a result, in this example, the aspect ratio of the projected image and the enlarged image can be converted by enlarging the X-axis direction of the projected image.

[0112] In this example, the first transmitting surface 41 and the second transmitting surface 43 have a free curved surface shape. This allows the aspect ratio to be converted between the projected image on the reduction-side conjugate surface and the enlarged image on the enlargement-side conjugate surface by the action of the second reflecting surface 69 of the deflecting member 39, the reflecting surface 42 of the lens 34, the first transmitting surface 41, and the second transmitting surface 43. Therefore, it is easier to increase the amount of conversion compared to the case where the aspect ratio is converted by the action of two surfaces, the reflecting surface and the light reflecting surface.

[0113] (Imaging device) FIG. 24 is an explanatory diagram of an imaging device 5 including the optical system 3 of this example. The optical system 3 of this example can have the same configuration as that shown in the above-mentioned Examples 1 to 4. In the imaging device 5, an imaging element 8 is arranged on the reduction-side conjugate plane of the optical system 3. In this case, a light ray Q1 from the enlargement-side conjugate plane 200 is incident on the second transmission surface 43 located on the first surface 36 of the lens L15 at Y1 above the optical axis N. The light ray incident on the second transmission surface 43 is folded back by the reflection surface 42 located on Y2 below the optical axis N. The light ray Q2 folded back by the reflection surface 42 is emitted from the first transmission surface 41 located below the optical axis N and heads toward the first optical system 31. The light ray incident on the first optical system 31 forms an image on the imaging element 8 arranged on the reduction-side conjugate plane.

[0114] In the optical system 3 of this example, the reflecting surface 42 has a free-form curved shape. At least one of the first transmitting surface 41, the light reflecting surface 33a, and the second transmitting surface 43 has a free-form curved shape. Therefore, compared to a case in which the aspect ratio between the magnified image of the magnification side conjugate surface 200 and the captured image of the image sensor 8 is converted by the action of only the reflecting surface 42, for example, this example has a high degree of freedom in converting the aspect ratio. As a result, in this example, the captured image can be enlarged in the X-axis direction to convert the aspect ratio between the captured image and the magnified image. [Explanation of symbols]

[0115] 1...projector, 2...image forming section, 3, 3A, 3B, 3C, 3D...optical system, 4...control section, 5...imaging device, 6...image processing section, 7...display driving section, 8...imaging element, 10...light source, 11...first integrator lens, 12...second integrator lens, 13...polarization conversion element, 14...superimposing lens, 15...first dichroic mirror, 16...reflection mirror, 17R...field lens, 17G...field lens, 17B...field lens, 18R...liquid crystal panel, 18G...liquid crystal panel, 18B...liquid crystal panel, 18R...each liquid crystal panel, 19...cross dichroic prism, 21...second dichroic mirror, 22...relay lens, 23...reflection mirror, 24...relay lens, 25...reflection mirror, 31...first optical system, 32...Second optical system, 33...Deflection member, 33a...Light reflecting surface, 34...Lens, 35...Intermediate image, 36...First surface, 37...Second surface, 38...First optical element, 39...Deflection member, 41...First transmission Surface, 42... Reflective surface, 43... Second transmitting surface, 51... First surface, 52... Second surface, 53... Third surface, 56... First surface, 57... Second surface, 58... Third surface, 61... Incident surface, 62... First reflecting surface, 63... Third surface. 2 reflective surfaces, 64...exit surface, 66...entrance surface, 67...first reflective surface, 68...exit surface, 69...second reflective surface, 100...chief ray, 200...magnification side conjugate surface, F1~F3...light flux, L1~L14...lenses, L21~L23...cemented lenses, C...center, N...first optical axis, M1...design axis, M2...second optical axis, P1...projected image, P2...magnified image, Q1...light ray, Q2...light ray, S...screen.

Claims

1. In an optical system that forms an intermediate image between a reduction-side conjugate surface and a magnification-side conjugate surface, Starting from the reduced conjugate plane, a first optical system having a first optical axis; A deflection member having a light reflecting surface; a second optical system; the second optical system is composed of one lens, The single lens includes, in order from the reduction side to the enlargement side, a first transmitting surface, a reflecting surface, and a lens having a second transmitting surface; the reflecting surface and the second transmitting surface have a free-form shape; the reflective surface and the second transmitting surface are anamorphic surfaces; A light ray passing through the first optical axis and a light ray passing through the first optical axis deflected by the deflection member The reflecting surface is symmetrical with respect to a plane formed by the light beam and the rear light beam, The magnification side conjugate surface is inclined from the reduction side conjugate surface in a direction parallel to the first optical axis direction. an optical system having a large magnification ratio of an image plane in a direction perpendicular to the first optical axis.

2. 2. The optical system according to claim 1, wherein the intermediate image is located on the reduction side of the reflecting surface. optical system.

3. 4. The optical system of claim 3, wherein the intermediate image is located between the reflecting surface and the first transmitting surface.

3. The optical system according to claim 2.

4. In an optical system that forms an intermediate image between a reduction-side conjugate surface and a magnification-side conjugate surface, Starting from the reduced conjugate plane, a first optical system having a first optical axis; A deflection member having a light reflecting surface; a second optical system; the second optical system is composed of one lens, The single lens includes, in order from the reduction side to the enlargement side, a first transmitting surface, a reflecting surface, and a second transmitting surface; the reflecting surface and the light reflecting surface of the deflecting member are free-form surfaces; the reflecting surface and the light reflecting surface of the deflecting member are anamorphic surfaces; A light ray passing through the first optical axis and a light ray passing through the first optical axis deflected by the deflection member The reflecting surface is symmetrical with respect to a plane formed by the light beam and the rear light beam, The magnification side conjugate surface is inclined from the reduction side conjugate surface in a direction parallel to the first optical axis direction. an optical system having a large magnification ratio of an image plane in a direction perpendicular to the first optical axis.

5. The optical system according to claim 4 , wherein the second transmitting surface has a free-form surface shape.

6. The intermediate image is formed between the light reflecting surface of the deflecting member and the reflecting surface.

6. The optical system according to claim 4 or 5, wherein:

7. the first optical system includes a plurality of optical elements disposed on the reduction side of the deflection member, the light reflecting surface is located on one side of the first optical axis of the first optical system, 7. The optical system according to claim 4, wherein the first transmitting surface is located on the other side of the first optical axis.

13. The optical system according to claim 12 .

8. 8. The method according to claim 1, wherein the first transmitting surface has a free-form shape.

13. The optical system according to claim 12 .

9. The lens has a first surface facing the reduction side and a second surface facing the opposite side to the first surface. and a reflective coating layer on the second surface, the second surface has a convex shape; The reflective surface is the reflective coating layer, and the concave surface is formed by transferring the surface shape of the second surface.

9. The optical system according to claim 1, characterized in that it has a shape.

10. The optical system of claim 9 , wherein the first surface has a convex shape.

11. An optical system according to any one of claims 1 to 10; an image forming unit that forms a projected image on the reduction-side conjugate plane of the optical system; A projector comprising:

12. An optical system according to any one of claims 1 to 10; an image sensor disposed on the reduction-side conjugate plane of the optical system; An imaging device comprising:

Images