WO2024257475A1 - 光学系、画像投写装置および撮像装置 - Google Patents

光学系、画像投写装置および撮像装置 Download PDF

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Publication number
WO2024257475A1
WO2024257475A1 PCT/JP2024/015229 JP2024015229W WO2024257475A1 WO 2024257475 A1 WO2024257475 A1 WO 2024257475A1 JP 2024015229 W JP2024015229 W JP 2024015229W WO 2024257475 A1 WO2024257475 A1 WO 2024257475A1
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Prior art keywords
optical system
reflecting surface
optical
point
sub
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Ceased
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English (en)
French (fr)
Japanese (ja)
Inventor
卓也 今岡
靖史 小林
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Panasonic Intellectual Property Management Co Ltd
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Panasonic Intellectual Property Management Co Ltd
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Priority to JP2025527508A priority Critical patent/JPWO2024257475A1/ja
Publication of WO2024257475A1 publication Critical patent/WO2024257475A1/ja
Priority to US19/357,499 priority patent/US20260050148A1/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/18Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/16Optical objectives specially designed for the purposes specified below for use in conjunction with image converters or intensifiers, or for use with projectors, e.g. objectives for projection TV
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B17/00Systems with reflecting surfaces, with or without refracting elements
    • G02B17/08Catadioptric systems
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B17/00Systems with reflecting surfaces, with or without refracting elements
    • G02B17/08Catadioptric systems
    • G02B17/0856Catadioptric systems comprising a refractive element with a reflective surface, the reflection taking place inside the element, e.g. Mangin mirrors
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/09Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
    • G02B27/0938Using specific optical elements
    • G02B27/095Refractive optical elements
    • G02B27/0972Prisms
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03BAPPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR
    • G03B21/00Projectors or projection-type viewers; Accessories therefor
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03BAPPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR
    • G03B21/00Projectors or projection-type viewers; Accessories therefor
    • G03B21/14Details
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03BAPPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR
    • G03B21/00Projectors or projection-type viewers; Accessories therefor
    • G03B21/14Details
    • G03B21/28Reflectors in projection beam

Definitions

  • This disclosure relates to an optical system using a prism. This disclosure also relates to an image projection device and an imaging device using such an optical system.
  • Patent documents 1 to 3 disclose optical systems that use prisms to enable short-focus, large-screen projection or imaging.
  • This disclosure provides an optical system that enables short-focus, large-screen projection or imaging in an oblique direction. This disclosure also provides an image projection device and imaging device that use such an optical system.
  • One aspect of the present disclosure is an optical system having a reduction conjugate point on a reduction side and a magnification conjugate point on a magnification side, and having intermediate image positions therein that are conjugates to the reduction conjugate point and the magnification conjugate point,
  • a first sub-optical system including a plurality of lenses that are rotationally symmetric with respect to an optical axis along the Z direction and an aperture between the plurality of lenses;
  • a second sub-optical system including a prism having a plurality of optical surfaces, the second sub-optical system being disposed on the enlargement side of the first sub-optical system;
  • the prism has, as the plurality of optical surfaces, a first transmitting surface, a first reflecting surface, a second reflecting surface, and a second transmitting surface, in that order from the reduction side to the enlargement side, and inside the prism, a light ray travels within a YZ plane that includes the Z direction and a Y direction perpendicular to the Z direction;
  • Another aspect of the present disclosure is an optical system having a reduction conjugate point on a reduction side and a magnification conjugate point on a magnification side, and having intermediate image positions therein that are conjugates to the reduction conjugate point and the magnification conjugate point, respectively, and the reduction conjugate point has an image-forming relationship in a rectangular area having a first direction and a second direction, a first sub-optical system including a plurality of lenses through which the light beam passes and an aperture stop between two lenses of the plurality of lenses; a second sub-optical system including a prism, the second sub-optical system being disposed on the enlargement side of the first sub-optical system;
  • the prism is A first transmitting surface located on the reduction side and a second transmitting surface located on the enlargement side; a first reflecting surface and a second reflecting surface are included in an optical path from the first transmitting surface to the second transmitting surface, When a plane including the position where the chief ray of a first light beam that passes through a point
  • An image projection device includes the above optical system and an image forming element that generates an image to be projected onto a screen via the optical system.
  • An imaging device includes the above optical system and an imaging element that receives an optical image formed by the optical system and converts it into an electrical image signal.
  • the optical system disclosed herein makes it easier to manufacture prisms and also makes it possible to miniaturize prisms with free-form surfaces. It also makes it possible to project or capture images in an oblique direction toward a magnified conjugate point.
  • FIG. 1 is a layout diagram showing an optical system 1 according to a first embodiment.
  • Fig. 2A is a perspective view showing the three-dimensional shape of each optical surface of the prism PM, and Fig. 2B shows a part of a light ray traveling inside the prism PM.
  • Fig. 3A is a cross-sectional view of the prism PM along the YZ plane, and Fig. 3B shows a part of a light ray traveling inside the prism PM.
  • Fig. 4A is a top view of the prism PM as viewed from the Y direction, and Fig. 4B shows a part of a light beam traveling inside the prism PM.
  • Fig. 2A is a perspective view showing the three-dimensional shape of each optical surface of the prism PM
  • Fig. 2B shows a part of a light ray traveling inside the prism PM.
  • Fig. 3A is a cross-sectional view of the prism PM along the YZ plane
  • Fig. 3B shows
  • FIG. 5A is a YZ cross-sectional view for explaining the definitions of the first point on the first transmitting surface T1, the second point on the second reflecting surface R2, and the angle of incidence of the light beam on the second reflecting surface R2.
  • Fig. 5B is a YZ cross-sectional view for explaining the definitions of the distances PL1 and PL2.
  • 4A to 4C are lateral aberration diagrams of the optical system 1 according to Example 1.
  • FIG. 11 is a layout diagram showing an optical system 1 according to a second embodiment.
  • 5A to 5C are lateral aberration diagrams of the optical system 1 according to Example 2.
  • FIG. 11 is a layout diagram showing an optical system 1 according to a third embodiment.
  • 9A to 9C are lateral aberration diagrams of the optical system 1 according to Example 3.
  • FIG. 11A shows a state in which the image projection device 100 is installed on the lower surface of a ceiling CE
  • Fig. 11B shows a state in which the image projection device 100 is installed on the upper surface of a ceiling CE.
  • 12A and 12B are diagrams for explaining the definition of variables in equation (6), respectively.
  • FIG. 13 is a layout diagram showing an optical system 1 according to a fourth embodiment.
  • Fig. 14A is a front perspective view showing the three-dimensional shape of each optical surface of the prism PM
  • Fig. 14B is a rear perspective view showing the three-dimensional shape of each optical surface of the prism PM
  • Fig. 14C is a side view showing the three-dimensional shape of the prism PM.
  • Fig. 14A is a front perspective view showing the three-dimensional shape of each optical surface of the prism PM
  • Fig. 14B is a rear perspective view showing the three-dimensional shape of each optical surface of the prism PM
  • Fig. 14C is a side view showing the three-dimensional
  • Fig. 15A is a side view showing the relative positions of the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3, and Fig. 15B is a side view showing a part of a light ray traveling inside the prism PM.
  • Fig. 16A is a top view showing the relative positions of the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3 as viewed from the Y direction
  • Fig. 16B is a top view showing a part of a light ray traveling inside the prism PM.
  • FIG. 1 is a YZ cross-sectional view showing a state in which the first light beam LF1 and the second light beam LF2 travel through the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3 in this order.
  • 5 is an explanatory diagram showing the relationship between a first footprint area FP1 of a first light flux LF1 and a second footprint area FP2 of a second light flux LF2 on a second reflecting surface R2.
  • FIG. 13 is an explanatory diagram showing the relationship between a third footprint area FP3 of the first light flux LF1 and a fourth footprint area FP4 of the second light flux LF2 on a third reflecting surface R3.
  • FIG. 13 is a graph showing the second derivative value of the change in sag amount in the Y cross section of the first reflecting surface R1.
  • 11A to 11C are lateral aberration diagrams of the optical system 1 according to Example 4.
  • 11A to 11C are lateral aberration diagrams of the optical system 1 according to Example 4.
  • 11A to 11C are lateral aberration diagrams of the optical system 1 according to Example 4.
  • FIG. 13 is a layout diagram showing an optical system 1 according to a fifth embodiment.
  • 13A to 13C are lateral aberration diagrams of the optical system 1 according to Example 5.
  • 13A to 13C are lateral aberration diagrams of the optical system 1 according to Example 5.
  • 13A to 13C are lateral aberration diagrams of the optical system 1 according to Example 5. This corresponds to FIG.
  • FIG. 9 is a block diagram illustrating an example of an image projection device according to the present disclosure.
  • FIG. 1 is a block diagram illustrating an example of an imaging device according to the present disclosure.
  • the optical system is used in a projector (one example of an image projection device) that projects onto a screen the image light of an original image SA, which is formed by spatially modulating incident light using an image forming element such as a liquid crystal or a DMD (digital micromirror device) based on an image signal. That is, the optical system according to the present disclosure can be used to enlarge and project onto a screen an original image SA on an image forming element arranged on the reduction side by arranging a screen (not shown) on an extension of the enlargement side.
  • the projection surface is not limited to a screen. Projection surfaces also include walls, ceilings, floors, and windows inside homes and stores, or vehicles and aircraft used for mobile transportation.
  • the optical system disclosed herein can also be used to collect light emitted from an object located on the extension of the magnification side and form an optical image of the object on the imaging surface of an imaging element located on the reduction side.
  • Example 1 Fig. 1 is a layout diagram showing an optical system 1 according to Example 1.
  • the optical system 1 includes a first sub-optical system including an aperture stop ST and a second sub-optical system including a prism PM.
  • a reduction conjugate point which is an imaging position on the reduction side, is located on the right side of the optical axis OA
  • a magnification conjugate point which is an imaging position on the magnification side
  • the second sub-optical system is provided on the magnification side of the first sub-optical system.
  • both the Y-direction intermediate image IMy and the X-direction intermediate image IMx exist within the prism PM.
  • the Y-direction intermediate image IMy is shown in Figure 1, but the X-direction intermediate image IMx is not shown.
  • the first sub-optical system includes, from the reduction side to the enlargement side, an optical element PA and lens elements L1 to L7.
  • the optical element PA represents an optical element such as a TIR (total internal reflection) prism, a prism for color separation and color synthesis, an optical filter, a parallel plate glass, a quartz low-pass filter, and an infrared cut filter.
  • a reduction conjugate point is set at a position a predetermined distance from the reduction side end face of the optical element PA, and the original image SA is placed here (surface 23).
  • surface 23 For the surface numbers, refer to the numerical example described later.
  • Optical element PA has two parallel, flat transmitting surfaces (surfaces 21, 22).
  • Lens element L1 has a biconvex shape (surfaces 19, 20).
  • Lens element L2 has a biconvex shape (surfaces 17, 18).
  • Lens element L3 has a biconcave shape (surfaces 15, 16).
  • Lens element L4 has a biconvex shape (surfaces 13, 14).
  • Lens element L5 has a biconvex shape (surfaces 9, 10).
  • Lens element L6 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 7, 8).
  • Lens element L7 has a biconcave shape (surfaces 5, 6).
  • These lens elements L1 to L7 are rotationally symmetric lenses having surface shapes that are rotationally symmetric around the optical axis OA of the first sub-optical system, and portions through which light rays do not pass may be removed if necessary.
  • the second sub-optical system includes a prism PM formed of a transparent medium, such as glass or synthetic resin.
  • the prism PM has a first transmitting surface T1 located on the reduction side, a second transmitting surface T2 located on the enlargement side, and two reflecting surfaces, a first reflecting surface R1 and a second reflecting surface R2, located on the optical path between the first transmitting surface T1 and the second transmitting surface T2, as a plurality of optical surfaces.
  • the first transmitting surface T1 has a free-form shape with a convex surface facing the reduction side (surface 4).
  • the first reflecting surface R1 has a free-form shape with a concave surface facing the direction in which the light ray incident on the first reflecting surface R1 is reflected (surface 3).
  • the second reflecting surface R2 has a free-form shape with a convex surface facing the direction in which the light ray incident on the second reflecting surface R2 is reflected (surface 2).
  • the second transmitting surface T2 has a free-form shape with a convex surface facing the enlargement side (surface 1).
  • the aperture stop ST defines the range through which the light beam passes through the optical system 1, and is positioned between the reduction conjugate point and the intermediate image position described above.
  • the aperture stop ST is located between lens element L4 and lens element L5 (surface 12).
  • Figure 2(A) is a perspective view showing the three-dimensional shape of each optical surface of the prism PM, and Figure 2(B) shows a portion of the light rays traveling inside the prism PM.
  • Figure 3(A) is a cross-sectional view of the prism PM along the YZ plane, and Figure 3(B) shows a portion of the light rays traveling inside the prism PM.
  • Figure 4(A) is a top view of the prism PM as seen from the Y direction, and Figure 4(B) shows a portion of the light rays traveling inside the prism PM.
  • FIG. 5(A) is a YZ cross-sectional view explaining the definitions of the first point on the first transmitting surface T1, the second point on the second reflecting surface R2, and the angle of incidence of the light ray on the second reflecting surface R2.
  • FIG. 5(B) is a YZ cross-sectional view explaining the definitions of the distances PL1 and PL2. Details will be described later.
  • FIG. 6 is a lateral aberration diagram of the optical system 1 according to Example 1.
  • the solid line represents a wavelength of 550.0000 nm
  • the dashed line represents a wavelength of 610.0000 nm
  • the dashed line represents a wavelength of 455.0000 nm. It can be seen from these graphs that the optical system 1 according to Example 1 exhibits excellent optical performance.
  • Example 2 Fig. 7 is a layout diagram showing an optical system 1 according to Example 2.
  • This optical system 1 has a configuration similar to that of Example 1, and a description that overlaps with Example 1 will be omitted.
  • the optical system 1 includes a first sub-optical system including an aperture stop ST and a second sub-optical system including a prism PM.
  • a reduction conjugate point which is an imaging position on the reduction side, is located on the right side of the optical axis OA
  • a magnification conjugate point which is an imaging position on the magnification side
  • the second sub-optical system is provided on the magnification side of the first sub-optical system.
  • both the Y-direction intermediate image IMy and the X-direction intermediate image IMx exist within the prism PM.
  • the Y-direction intermediate image IMy is shown in Figure 7, but the X-direction intermediate image IMx is not shown.
  • the second reflecting surface R2 has a free-form shape with a convex surface facing the direction in which the light ray incident on the second reflecting surface R2 is reflected (surface 2).
  • the second transmitting surface T2 has a free-form shape with a convex surface facing the enlargement side (surface 1).
  • FIG. 8 is a lateral aberration diagram of the optical system 1 according to Example 2.
  • both the Y-direction intermediate image IMy and the X-direction intermediate image IMx exist within the prism PM.
  • the Y-direction intermediate image IMy is shown in Figure 9, but the X-direction intermediate image IMx is not shown.
  • Optical element PA has two parallel, flat transmitting surfaces (surfaces 21, 22).
  • Lens element L1 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 19, 20).
  • Lens element L2 has a biconvex shape (surfaces 17, 18).
  • Lens element L3 has a biconcave shape (surfaces 15, 16).
  • Lens element L4 has a biconvex shape (surfaces 13, 14).
  • Lens element L5 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 9, 10).
  • Lens element L6 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 7, 8).
  • Lens element L7 has a biconcave shape (surfaces 5, 6).
  • the prism PM has a first transmitting surface T1 located on the reduction side, a second transmitting surface T2 located on the enlargement side, and two reflecting surfaces, a first reflecting surface R1 and a second reflecting surface R2, located on the optical path between the first transmitting surface T1 and the second transmitting surface T2.
  • the first transmitting surface T1 has a free-form shape with a convex surface facing the reduction side (surface 4).
  • the first reflecting surface R1 has a free-form shape with a concave surface facing the direction in which the light ray incident on the first reflecting surface R1 is reflected (surface 3).
  • the second reflecting surface R2 has a free-form shape with a convex surface facing the direction in which the light ray incident on the second reflecting surface R2 is reflected (surface 2).
  • the second transmitting surface T2 has a free-form shape with a convex surface facing the enlargement side (surface 1).
  • FIG. 10 is a lateral aberration diagram of the optical system 1 according to Example 3.
  • Example 4 Fig. 13 is a layout diagram showing an optical system 1 according to Example 4.
  • the optical system 1 includes a first sub-optical system including an aperture stop ST and a second sub-optical system including a prism PM.
  • a reduction conjugate point which is an imaging position on the reduction side, is located to the left of the optical axis OA
  • a magnification conjugate point which is an imaging position on the magnification side, is located diagonally above the prism PM.
  • the second sub-optical system is provided on the magnification side of the first sub-optical system.
  • both the Y-direction intermediate image IMy and the X-direction intermediate image IMx exist within the prism PM.
  • the Y-direction intermediate image IMy is shown in Figure 13, but the X-direction intermediate image IMx is not shown.
  • the first sub-optical system includes, from the reduction side to the enlargement side, optical element PA and lens elements L1 to L10.
  • Optical element PA represents optical elements such as a TIR (total internal reflection) prism, a prism for color separation and color synthesis, an optical filter, parallel plate glass, a quartz low-pass filter, and an infrared cut filter.
  • a reduction conjugate point is set at a position a predetermined distance from the reduction side end face of optical element PA1, where the original image SA is placed (surface 0). Note that for the surface numbers, refer to the numerical examples described later.
  • Optical element PA has two parallel, flat transmissive surfaces (surfaces 1, 2).
  • Lens element L1 has a biconvex shape (surfaces 3, 4).
  • Lens element L2 has a biconvex shape (surfaces 5, 6).
  • Lens element L3 has a biconcave shape (surfaces 7, 8).
  • Lens element L4 has a biconcave shape (surfaces 9, 10).
  • Lens element L5 has a biconvex shape (surfaces 11, 12).
  • Lens element L6 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 15, 16).
  • Lens element L7 has a biconvex shape (surfaces 17, 18).
  • Lens element L8 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 19, 20).
  • Lens element L9 has a biconcave shape (surfaces 21, 22).
  • Lens element L10 has a negative meniscus shape with the convex surface facing the reduction side (surfaces 23, 24).
  • These lens elements L1 to L10 are rotationally symmetric lenses that have a surface shape that is rotationally symmetric around the optical axis OA of the first sub-optical system, and if necessary, portions through which light rays do not pass may be removed.
  • the second sub-optical system includes a prism PM formed of a transparent medium, such as glass or synthetic resin.
  • the prism PM has a first transmitting surface T1 located on the reduction side, a second transmitting surface T2 located on the enlargement side, and three reflecting surfaces R1, R2, and R3 located on the optical path between the first transmitting surface T1 and the second transmitting surface T2 as a plurality of optical surfaces.
  • the first transmitting surface T1 has a free-form shape with a convex surface facing the reduction side (surface 25).
  • the first reflecting surface R1 has a free-form shape with a convex surface and a concave surface facing in the direction in which the light ray incident on the first reflecting surface R1 is reflected (surface 26).
  • the second reflecting surface R2 has a free-form shape with a concave surface facing in the direction in which the light ray incident on the second reflecting surface R2 is reflected (surface 27).
  • the third reflecting surface R3 has a free-form shape with a convex surface facing in the direction in which the light ray incident on the third reflecting surface R3 is reflected (surface 28).
  • the second transmitting surface T2 has a free-form shape with a convex surface facing the magnification side (surface 29).
  • the aperture stop ST defines the range through which the light beam passes through the optical system 1, and is positioned between the reduction conjugate point and the intermediate image position described above.
  • the aperture stop ST is located between lens element L5 and lens element L6 (surface 13).
  • FIG. 14(A) is a front perspective view showing the three-dimensional shape of each optical surface of the prism PM.
  • FIG. 14(B) is a rear perspective view showing the three-dimensional shape of each optical surface of the prism PM.
  • FIG. 14(C) is a side view showing the three-dimensional shape of the prism PM.
  • FIG. 15(A) is a side view showing the relative positions of the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3.
  • FIG. 15(B) is a side view showing a portion of the light beam traveling inside the prism PM.
  • FIG. 15(B) is a side view showing a portion of the light beam traveling inside the prism PM.
  • FIG. 16(A) is a top view seen from the Y direction showing the relative positions of the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3.
  • FIG. 16(B) is a top view showing a portion of the light beam traveling inside the prism PM.
  • FIG. 17 is a YZ cross-sectional view showing the first light beam LF1 and the second light beam LF2 traveling through the first transmitting surface T1, the second transmitting surface T2, the first reflecting surface R1, the second reflecting surface R2, and the third reflecting surface R3 in that order.
  • FIGS. 18(A) and 18(B) are explanatory diagrams showing the relationship between the first footprint area FP1 of the first light beam LF1 and the second footprint area FP2 of the second light beam LF2 on the second reflecting surface R2.
  • FIG. 19 is an explanatory diagram showing the relationship between the third footprint area FP3 of the first light beam LF1 and the fourth footprint area FP4 of the second light beam LF2 on the third reflecting surface R3.
  • FIG. 20 is a graph showing the second derivative value of the sag amount change in the Y cross-section on the first reflecting surface R1. These will be described in detail later.
  • 21 to 23 are lateral aberration diagrams of the optical system 1 according to Example 4.
  • the solid line indicates a wavelength of 550.0000 nm
  • the dashed line indicates a wavelength of 610.0000 nm
  • the dashed line indicates a wavelength of 455.0000 nm. From these graphs, it can be seen that the optical system 1 according to Example 4 exhibits excellent optical performance.
  • FIG. 24 is a layout diagram showing an optical system 1 according to Example 5.
  • This optical system 1 has a configuration similar to that of Example 4, and a description that overlaps with Example 4 will be omitted.
  • the optical system 1 includes a first sub-optical system including an aperture stop ST and a second sub-optical system including a prism PM.
  • a reduction conjugate point which is an imaging position on the reduction side, is located to the left of the optical axis OA
  • a magnification conjugate point which is an imaging position on the magnification side, is located diagonally above the prism PM.
  • the second sub-optical system is provided on the magnification side of the first sub-optical system.
  • both the Y-direction intermediate image IMy and the X-direction intermediate image IMx exist within the prism PM.
  • the Y-direction intermediate image IMy is shown in Figure 24, but the X-direction intermediate image IMx is not shown.
  • the first sub-optical system includes, in order from the reduction side to the enlargement side, an optical element PA and lens elements L1 to L10.
  • a reduction conjugate point is set at a position a predetermined distance from the reduction side end face of the optical element PA, and the original image SA is placed here (surface 0).
  • surface 0 For the surface numbers, refer to the numerical examples described later.
  • Optical element PA has two parallel, flat transmissive surfaces (surfaces 1 and 2).
  • Lens element L1 has a biconvex shape (surfaces 3 and 4).
  • Lens element L2 has a biconvex shape (surfaces 5 and 6).
  • Lens element L3 has a biconcave shape (surfaces 7 and 8).
  • Lens element L4 has a biconcave shape (surfaces 9 and 10).
  • Lens element L5 has a biconvex shape (surfaces 11 and 12).
  • Lens element L6 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 15 and 16).
  • Lens element L7 has a biconvex shape (surfaces 17 and 18).
  • Lens element L8 has a positive meniscus shape with the convex surface facing the reduction side (surfaces 19 and 20).
  • Lens element L9 has a biconcave shape (surfaces 21 and 22).
  • Lens element L10 has a negative meniscus shape with the convex surface facing the reduction side (surfaces 23 and 24).
  • These lens elements L1 to L10 are rotationally symmetric lenses that have a surface shape that is rotationally symmetric around the optical axis OA of the first sub-optical system, and if necessary, portions through which light rays do not pass may be removed.
  • the prism PM has a plurality of optical surfaces, including a first transmitting surface T1 located on the reduction side, a second transmitting surface T2 located on the enlargement side, and three reflecting surfaces R1, R2, and R3 located on the optical path between the first transmitting surface T1 and the second transmitting surface T2.
  • the first transmitting surface T1 has a free-form shape with a convex surface facing the reduction side (surface 25).
  • the first reflecting surface R1 has a free-form shape with a convex surface and a concave surface facing in the direction in which the light ray incident on the first reflecting surface R1 is reflected (surface 26).
  • the second reflecting surface R2 has a free-form shape with a concave surface facing in the direction in which the light ray incident on the second reflecting surface R2 is reflected (surface 27).
  • the third reflecting surface R3 has a free-form shape with a convex surface facing in the direction in which the light ray incident on the third reflecting surface R3 is reflected (surface 28).
  • the second transmitting surface T2 has a free-form shape with a convex surface facing the magnification side (surface 29).
  • FIGS. 25 to 27 are lateral aberration diagrams of the optical system 1 according to Example 5.
  • Figure 28 corresponds to Figure 9 attached to the basic application of the priority right of this application (Japanese Patent Application No. 2023-198654), and is an explanatory diagram showing the shape of the footprint on the first reflecting surface R1 and the second reflecting surface R2 in Examples 1 to 3 of the basic application.
  • the first principal ray passes through a position close to the lower end of the first reflecting surface R1, and then passes through a position close to the upper end of the second reflecting surface R2.
  • the second principal ray passes through a position close to the upper end of the first reflecting surface R1, and then passes through a position close to the center of the second reflecting surface R2.
  • the footprint of the first principal ray tends to be larger than the footprint of the second principal ray, and this tendency is particularly large on the second reflecting surface R2.
  • footprint A located at the center of the first principal ray overlaps with footprint B located at the center of the second principal ray.
  • the optical system according to this embodiment has a reduction conjugate point on the reduction side and a magnification conjugate point on the magnification side, and has intermediate image positions therein that are conjugates to the reduction conjugate point and the magnification conjugate point, respectively.
  • a first sub-optical system including a plurality of lenses that are rotationally symmetric with respect to an optical axis OA along the Z direction, and an aperture between the plurality of lenses;
  • a second sub-optical system including a prism PM having a plurality of optical surfaces, the second sub-optical system being disposed on the enlargement side of the first sub-optical system;
  • the prism PM has, as the plurality of optical surfaces, a first transmitting surface T1, a first reflecting surface R1, a second reflecting surface R2, and a second transmitting surface T2, in that order from the reduction side to the enlargement side, and inside the prism PM, a light ray travels within a YZ plane that includes the Z direction and a Y direction perpen
  • the prism PM has, as optical surfaces, a first transmitting surface T1, a first reflecting surface R1, a second reflecting surface R2, and a second transmitting surface T2, in that order from the reduction side to the enlargement side.
  • a distance FL1 between the point on the first reflecting surface R1 farthest from the perpendicular line of the optical axis OA passing through the apex of the optical surface on the most enlargement side of the first sub-optical system and the perpendicular line, and a distance FL2 between the point on the second transmitting surface T2 farthest from the perpendicular line and the perpendicular line can be defined.
  • the first reflecting surface R1 needs a certain distance between the first transmitting surface T1 and the first reflecting surface R1 in order to reflect the multiple light beams incident from the first sub-optical system to the second reflecting surface R2.
  • the optical system can be shortened in the Z direction by designing the distance FL2 to be smaller than the distance FL1, and as a result, the prism PM can be made smaller.
  • a distance PL1 parallel to the Z direction between a point on the first transmitting surface T1 closest to the perpendicular line and a point on the first reflecting surface R1 farthest from the perpendicular line, and a distance PL2 parallel to the Z direction between a point on the second reflecting surface R2 closest to the perpendicular line and a point on the second transmitting surface T2 farthest from the perpendicular line may be smaller than the distance PL1.
  • the prism can be made smaller in the Z direction. Furthermore, when performing shift projection in the Y direction, the second transmitting surface T2 tends to become larger in the Y direction. Therefore, by reducing the size of the second transmitting surface T2 in the Z direction, it is also possible to prevent the prism from becoming larger in the Y direction.
  • may be smaller than the Y coordinate interval
  • represents the absolute value of x.
  • FIG. 5(A) shows only the light beam closest to the optical axis OA and its chief ray PR among all the light rays passing through or reflected from the effective area of the optical surface.
  • the YZ coordinates (yt1, zt1) of the first point through which the chief ray PR passes on the first transmitting surface T1 can be defined.
  • the YZ coordinates (yr2, zr2) of the second point where the chief ray PR is reflected on the second reflecting surface R2 can be defined.
  • the arrangement of the first transmitting surface T1 and the second reflecting surface R2 is designed so that when comparing the YZ coordinates of both,
  • the Z coordinate zt1 of the first point is located on the +Z side (right side of FIG. 5A) of the Z coordinate zr2 of the second point.
  • the Z coordinate zt1 of the first point may be located on the -Z side (left side of FIG. 5A) of the Z coordinate zr2 of the second point.
  • the Z coordinate zt1 of the first point and the Z coordinate zr2 of the second point may be the same, in which case it is sufficient that the Z coordinate interval
  • ( 0) is smaller than the Y coordinate interval
  • a distance PL1 can be defined that is parallel to the optical axis OA of the first sub-optical system between the point on the first transmitting surface T1 that is closest to the perpendicular to the optical axis OA passing through the apex (the intersection of the optical surface and the optical axis) of the optical surface (the enlarged side surface of lens element L7) that is closest to the enlarged optical surface of the first sub-optical system, and the point on the first reflecting surface R1 that is farthest from that perpendicular.
  • a distance PL2 can be defined that is parallel to the optical axis OA of the first sub-optical system between the point on the second reflecting surface R2 that is closest to the perpendicular and the point on the second transmitting surface T2 that is farthest from that perpendicular.
  • the arrangement of the first transmitting surface T1, the first reflecting surface R1, the second reflecting surface R2, and the second transmitting surface T2 is designed so that the distance PL2 is smaller than the distance PL1.
  • the first transmitting surface T1 and the second reflecting surface R2 can be maintained nearly perpendicular to the optical axis OA, making it easy to manufacture the prism PM. Conversely, if the first transmitting surface T1 and the second reflecting surface R2 are tilted too much with respect to the optical axis OA, it becomes difficult to manufacture the prism PM. In addition, because the first transmitting surface T1 and the second reflecting surface R2 are close to each other in the Z direction and the distance PL2 is smaller than the distance PL1, it becomes possible to miniaturize a prism with a free-form surface.
  • the optical system according to this embodiment may satisfy the following expressions (1) and (2). 0.5 ⁇ PL2/PL1 ⁇ 0.8...(1)
  • the optical system according to this embodiment may satisfy the following formula (3). 0.5 ⁇ r2 ⁇ 3.0...(3) Where: ⁇ r2: the angle (unit: °) between the normal at the position of the second reflecting surface R2 on which the principal ray PR of the light beam closest to the optical axis OA is incident and the normal to the conjugate surface including the reduction conjugate point It is.
  • the chief ray PR of the light beam closest to the optical axis OA is reflected by the first reflecting surface R1 and then enters the second point (yr2, zr2) on the second reflecting surface R2.
  • the normal NA at the second point (yr2, zr2) can be defined.
  • the normal NR of the conjugate plane including the reduction conjugate point can be defined. This normal NR can generally be set parallel to the optical axis OA of the optical system.
  • the optical system according to this embodiment may satisfy the following formula (4). 0.0 ⁇ rt1x/rt1y ⁇ 0.8...(4) Where: rt1x: partial radius of curvature in the x direction of the first transmitting surface T1 at the first point, rt1y: partial radius of curvature in the y direction of the first transmitting surface T1 at the first point.
  • the YZ coordinates (yt1, zt1) of the first point through which the principal ray PR passes have a partial radius of curvature rt1x in the x direction and a partial radius of curvature rt1y in the y direction.
  • equation (4) it is possible to achieve oblique projection or imaging to the magnified conjugate point while suppressing astigmatism at the magnified conjugate point.
  • the optical system according to this embodiment may satisfy the following formula (5). 15 ⁇ i2m ⁇ 30...(5)
  • ⁇ i2m the angle of incidence at which the chief ray PR of the light beam closest to the optical axis OA is incident on the second reflecting surface R2 (unit: °) It is.
  • the chief ray PR of the light beam closest to the optical axis OA is reflected by the first reflecting surface R1 and then enters the second point (yr2, zr2) on the second reflecting surface R2.
  • the angle of incidence of the chief ray PR on the second reflecting surface R2 can be defined as the angle of incidence ⁇ i2m between the normal NA at the second point and the traveling direction of the chief ray PR. Therefore, by making the angle of incidence ⁇ i2m satisfy the formula (5), it is possible to suppress the curvature of field at the magnification conjugate point while achieving oblique projection or imaging of a large-screen image perpendicular to the optical axis OA to the magnification conjugate point.
  • the optical system in the Z direction, is disposed between a reduction conjugate plane formed at the position of the reduction conjugate point and a magnification conjugate plane formed at the position of the magnification conjugate point, and the reduction conjugate plane and the magnification conjugate plane may be parallel to each other.
  • the light rays that project a large-screen image perpendicular to the optical axis OA at an angle toward the screen do not pass around the optical system. This makes it possible to install any components around the optical system, for example, to hide the optical system from the view of the audience.
  • the optical system according to this embodiment may satisfy the following formula (6).
  • D Distance between the magnified conjugate point and the optical system
  • V Length in a first direction parallel to the vertical direction to the magnified conjugate point perpendicular to the optical axis of the effective area where all light rays are projected or imaged on the conjugate plane including the magnified conjugate point
  • H Length in a second direction perpendicular to the vertical direction of the effective area where all light rays are projected or imaged on the conjugate plane including the magnified conjugate point
  • SF Vertical distance from the optical axis to the center of the first direction length of the effective area.
  • FIG. 11(A) when an optical system is mounted on an image projection device 100 and oblique projection is performed toward a screen SR (magnified conjugate point), the image projection device 100 is generally often installed on the underside of a ceiling CE. The audience views the image projected onto the screen SR, but is also aware of the presence of the image projection device 100.
  • FIG. 11(B) it is possible to imagine that the image projection device 100 is installed on the upper surface of the ceiling CE and performs oblique projection toward the screen SR. In this case, the image projection device 100 is hidden by the ceiling CE, making it difficult for the audience to recognize the presence of the image projection device 100, and they can immerse themselves in viewing the image.
  • an optical system capable of projection in a diagonal direction that is greatly inclined with respect to the screen SR of a large-screen image perpendicular to the optical axis OA is required.
  • FIGs 11(A) and 11(B) an example is shown in which the image projection device 100 is installed on the ceiling CE side and an image is projected downward, but alternatively, the image projection device 100 may be installed on the floor side and an image may be projected diagonally upward. Also, the image projection device 100 may be installed on the side wall of the room (the right or left wall) and an image may be projected diagonally horizontally (to the left or right).
  • FIG. 12 is a diagram for explaining the definition of the variables in equation (6), with FIG. 12(A) showing a YZ cross section and FIG. 12(B) showing a ZX cross section.
  • the optical system can satisfy equation (6) when the distance between the screen SR and the optical system of the image projection device 100 is D, the length of the effective area on the screen SR onto which all the light rays are projected in a second direction perpendicular to the direction perpendicular to the magnified conjugate point perpendicular to the optical axis OA is H, the length of the effective area on the screen SR onto which all the light rays are projected in a first direction parallel to the vertical direction is V, and the vertical distance from the optical axis OA to the center of the length of the effective area in the first direction is SF.
  • a configuration can be realized in which the projection distance D to the screen SR is small (so-called short focus projection) and the vertical distance SF is large (so-called super shift projection).
  • a first footprint area on the second reflecting surface of a first light beam that is closest to the optical axis on the first transmitting surface may overlap a second footprint area on the second reflecting surface of a second light beam that is farthest from the optical axis on the first transmitting surface.
  • the first light beam LF1 closest to the optical axis OA on the first transmitting surface T1 forms a first footprint area FP1 on the second reflecting surface R2.
  • the second light beam LF2 farthest from the optical axis OA on the first transmitting surface T1 forms a second footprint area FP2 on the second reflecting surface R2.
  • the area for the second footprint area FP2 can be reduced to reduce the size of the second reflecting surface R2, and the size of the prism PM in the Y direction can also be suppressed.
  • the area of the second footprint area FP2 overlapping with the first footprint area FP1 can be reduced to reduce the size of the second reflecting surface R2, and the size of the prism PM in the Y direction can also be suppressed.
  • the optical system according to the present embodiment has a reduction conjugate point on the reduction side and a magnification conjugate point on the magnification side, and has intermediate image positions therein that are conjugates to the reduction conjugate point and the magnification conjugate point, respectively, and the reduction conjugate point has an image-forming relationship in a rectangular area having a first direction and a second direction, a first sub-optical system including a plurality of lenses through which the light beam passes and an aperture stop between two lenses of the plurality of lenses; a second sub-optical system including a prism PM, the second sub-optical system being disposed on the enlargement side of the first sub-optical system;
  • the prism PM is A first transmitting surface T1 located on the reduction side, and a second transmitting surface T2 located on the enlargement side, an optical path from the first transmitting surface T1 to the second transmitting surface T2 includes a first reflecting surface R2 and a second reflecting surface R2 in that order;
  • the prism PM has, as its optical surfaces, a first transmitting surface T1, a first reflecting surface R1, a second reflecting surface R2, a third reflecting surface R3 and a second transmitting surface T2, in that order from the reduction side to the enlargement side.
  • a prism PM having three reflecting surfaces R1 to R3 is illustrated as an example, but the prism PM may have one, two, or four or more reflecting surfaces.
  • the first light beam LF1 passing through a point closest to the optical axis OA forms a first footprint area FP1 on the second reflecting surface R2.
  • the second light beam LF2 passing through a point farthest from the optical axis OA forms a second footprint area FP2 on the second reflecting surface R2.
  • the area for the second footprint area FP2 can be reduced, the size of the second reflecting surface R2 can be reduced, and the size of the prism PM in the Y direction can be suppressed.
  • the area of the second footprint area FP2 overlapping the first footprint area FP1 can be reduced, and the size of the second reflecting surface R2 can be suppressed, and the size of the prism PM in the Y direction can be suppressed.
  • the first reflecting surface R1 may have a curved shape that imparts positive power at Y1, where Y1 is the position at which the chief ray of the first light beam LF1 is reflected.
  • the first reflecting surface R1 has a curved shape that imparts positive power P1. This makes it possible to reduce the size of the first footprint area FP1 formed by the first light beam LF1 on the second reflecting surface R2. As a result, the prism PM can be made smaller.
  • the first reflecting surface R1 may have a curved shape such that, when the position at which the chief ray of the second light beam FL2 is reflected is Y2, the power imparted at Y2 is smaller than the positive power imparted at Y1.
  • the first reflecting surface R1 may have a curved shape that is given negative power at Y2.
  • the first reflecting surface R1 has a negative power P2 at position Y2.
  • optical performance at a low throw ratio can be ensured.
  • the range in which the second derivative value of the sag amount change in the Y cross section is a positive value indicates negative power P2, and the range in which the second derivative value is a negative value indicates positive power P1.
  • Such a curved shape can be designed as a free-form shape defined by (Equation 2) and (Equation 3) described below.
  • the optical system according to this embodiment may have a third reflecting surface R3 on the optical path between the second reflecting surface R2 and the second transmitting surface T1.
  • the prism PM has three reflecting surfaces R1 to R3 on the optical path between the first transmitting surface T1 and the second transmitting surface T2. As a result, it is possible to achieve both a compact prism and a low throw ratio.
  • the second reflecting surface R2 has a concave shape toward the inside of the prism, and therefore functions to converge the light beam.
  • the third reflecting surface R3 has a convex shape toward the inside of the prism, and therefore functions to diverge the light beam. As a result, it is possible to achieve both a compact prism and a low throw ratio.
  • the first footprint area FP1 may be located within a central 70% range of the second footprint area FP2.
  • the longitudinal size of the second footprint area FP2 is A, and the first footprint area FP1 is included within the range of -A ⁇ 35% to +A ⁇ 35% from the center of the second footprint area FP2. This allows the size of the second reflecting surface R2 to be reduced, resulting in a more compact prism.
  • the size ratio of the second footprint area FP to the first footprint area FP may be 20% or less.
  • the longitudinal size of the second footprint area FP2 is A
  • the longitudinal size of the first footprint area FP1 is set to A x 20% or less. This allows the size of the second reflecting surface R2 to be reduced, resulting in a more compact prism.
  • the optical system according to this embodiment has a third reflecting surface R3 on an optical path between the second reflecting surface R2 and the second transmitting surface T2, and on the third reflecting surface R3, a third footprint area FP3 of the first light flux LF1 is located closer to the optical axis OA of the first sub-optical system than a fourth footprint area FP4 of the second light flux LF2,
  • a size ratio of the third footprint region FP3 to the fourth footprint region FP4 may be 20% or less.
  • the first light beam LF1 passing through the point closest to the optical axis OA forms a third footprint area FP3 on the third reflecting surface R3.
  • the second light beam LF2 passing through the point farthest from the optical axis OA forms a fourth footprint area FP4 on the third reflecting surface R3.
  • the third footprint area FP3 is located closer to the optical axis OA than the fourth footprint area FP4, and the longitudinal size of the fourth footprint area FP4 is set to B x 20% or less. This allows the size of the second reflecting surface R2 to be reduced, resulting in a more compact prism.
  • the prism PM may have a shape such that, when the prism PM is viewed from the first sub-optical system, the second reflecting surface R2 is located between the first transmitting surface T1 and the second transmitting surface T2 in the Y cross section.
  • a first transmitting surface T1, a second reflecting surface R2, and a second transmitting surface T2 are arranged in front of the prism PM, and a first reflecting surface R1 and a second reflecting surface R2 are arranged behind the prism PM.
  • this optical system is used in an image projection device, rear projection can be achieved in which image light from an image forming element enters the first transmitting surface T1 and is emitted diagonally upward from the second transmitting surface T2.
  • z sag amount of a surface parallel to the z axis
  • c curvature at the vertex of the surface
  • k Conic coefficient
  • a to H 4th to 18th order coefficients of r.
  • the free-form surface shape is expressed as a local Cartesian coordinate system (x, y, z) with the vertex of the surface as the origin. It is defined by the following formula using
  • z Sag amount of the surface parallel to the z axis
  • c curvature at the surface vertex
  • k conic coefficient
  • C j coefficient of the monomial x my n .
  • the i-th term of x and the j-th term of y which are the free-form surface coefficients in the polynomial, are written as x**i*y**j.
  • "X**2*Y” indicates that the free-form surface coefficients are the quadratic term of x and the linear term of y in the polynomial.
  • Table 10 below shows the corresponding values of formulas (1) to (6) in each of Numerical Examples 1 to 3.
  • formula (6) when a large-screen image perpendicular to the optical axis OA is projected obliquely toward the screen, the image-forming element is often also shifted in the Y direction from the optical axis PA as necessary.
  • examples are shown in which the shift amounts of the image-forming element in the Y direction are -7.182 mm and -9.018 mm, respectively. That is, in FIG. 1, the center position of the original image SA of the image-forming element is shifted downward by 7.182 mm and 9.018 mm with respect to the optical axis OA.
  • FIG. 29 is a block diagram showing an example of an image projection device according to the present disclosure.
  • the image projection device 100 includes the optical system 1 disclosed in the first embodiment, an image forming element 101, a light source 102, a control unit 110, and the like.
  • the image forming element 101 is composed of a liquid crystal, a DMD, or the like, and generates an image to be projected on the screen SR via the optical system 1.
  • the light source 102 is composed of an LED (light emitting diode), a laser, or the like, and supplies light to the image forming element 101.
  • the control unit 110 is composed of a CPU or an MPU, or the like, and controls the entire device and each component.
  • the optical system 1 may be configured as an interchangeable lens that can be detachably attached to the image projection device 100, or may be configured as an integrated lens integrated into the image projection device 100.
  • the image projection device 100 described above is capable of short-focus, large-screen projection using a compact device thanks to the optical system 1 of embodiment 1.
  • FIG. 30 is a block diagram showing an example of an imaging device according to the present disclosure.
  • the imaging device 200 includes the optical system 1 disclosed in the first embodiment, an imaging element 201, a control unit 210, and the like.
  • the imaging element 201 is composed of a CCD (charge-coupled device) image sensor, a CMOS image sensor, and the like, and receives an optical image of an object OBJ formed by the optical system 1 and converts it into an electrical image signal.
  • the control unit 110 is composed of a CPU or an MPU, and controls the entire device and each component.
  • the optical system 1 may be configured as an interchangeable lens that can be detachably attached to the imaging device 200, or may be configured as a built-in lens integrated into the imaging device 200.
  • the imaging device 200 described above uses the optical system 1 according to embodiment 1, making it possible to capture images with a short focal length and a large screen using a small device.
  • the components shown in the attached drawings and detailed description may include not only components essential for solving the problem, but also components that are not essential for solving the problem in order to illustrate the above technology. Therefore, the fact that these non-essential components are shown in the attached drawings or detailed description should not be used to immediately conclude that these non-essential components are essential.
  • This disclosure is applicable to image projection devices such as projectors and head-up displays, as well as imaging devices such as digital still cameras, digital video cameras, surveillance cameras in surveillance systems, web cameras, and vehicle-mounted cameras.
  • this disclosure is applicable to imaging optical systems that require high image quality, such as projectors, digital still camera systems, and digital video camera systems.

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JP2011017824A (ja) * 2009-07-08 2011-01-27 Olympus Corp 光学系
JP2020194115A (ja) * 2019-05-29 2020-12-03 パナソニックIpマネジメント株式会社 光学系、画像投写装置および撮像装置
JP2021117276A (ja) * 2020-01-23 2021-08-10 セイコーエプソン株式会社 投写光学系、およびプロジェクター

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2011017824A (ja) * 2009-07-08 2011-01-27 Olympus Corp 光学系
JP2020194115A (ja) * 2019-05-29 2020-12-03 パナソニックIpマネジメント株式会社 光学系、画像投写装置および撮像装置
JP2021117276A (ja) * 2020-01-23 2021-08-10 セイコーエプソン株式会社 投写光学系、およびプロジェクター

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