# US 5,347,398 A · Optical system for forming an image of a plane on a spherical surface > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 5,347,398 A - Document ID: US5347398A - Status: Granted - Kind: A - Application number: 08/001,551 - Filed: 1993-01-06 - Granted: 1994-09-13 - Earliest claimed: 1992-01-20 - Assignees: Essilor International Cie Generale d'Optique - Inventors: Jacques Debize - Web page: https://patentgrep.com/patent/US5347398A ## CPC - G02B 9/64: having more than six components - G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS ## Abstract An optical system is adapted to conjugate an object plane with an image spherical dome whose radius is less than its focal length and whose exit dioptric is a spherical dome on which the image spherical dome is substantially superimposed. The optical system can be used in an exposure device for modifying by physical-chemical treatment the power profile of an artificial optical lens made from a photopolymerizable material. The device comprises a source of radiation and between the source of radiation and the artificial optical lens to be irradiated a mask adapted to modulate the energy flux spatially. The exposure device comprises a curved field lens system formed by the optical system. ## Claims ### Claim 1 Optical system for projecting an image of an object plane on a spherical surface, said optical system comprising plural optical elements in optical alignment with a spherical exit dioptric or refractive interface, said plural optical elements be configured to form the spherical image of the object plane substantially superimposed on said spherical interface, said spherical interface having a radius less than the focal length of the optical system, a dioptric or refractive interface of said plural optical elements immediately preceding the exit dioptric or refractive interface being planar. ### Claim 2 Optical system for projecting an image of an object plane on a spherical surface, said optical system comprising plural optical elements in optical alignment and having a spherical exit dioptric or refractive interface, said plural optical elements be configured to form the spherical image of the object plane substantially superimposed on said spherical interface, said spherical interface having a radius less than the focal length of the optical system. ### Claim 3 (depends on 2) Optical system according to claim 2 wherein the absolute value of the radius of the spherical dioptric or refractive interface is at most in the order of one-half of the focal length of the optical system. ### Claim 4 (depends on 2) Optical system according to claim 2 wherein the absolute value of the radius of the spherical interface is less than one-half the focal length of the optical system. ### Claim 5 (depends on 2) Optical system according to claim 2 wherein the exit dioptric or refractive interface is a convex spherical surface whose center is on the preceding dioptric or refractive interface. ### Claim 6 (depends on 2) Optical system according to claim 2 wherein said spherical exit dioptric or refractive interface is convex. ### Claim 7 Optical system for projecting an image of an object plane on a spherical surface, said optical system comprising plural optical elements in optical alignment with a spherical exit dioptric or refractive interface, said plural optical elements be configured to form the spherical image of the object plane substantially superimposed on said spherical interface, said spherical interface having a radius less than the focal length of the optical system, said plural optical elements having fourteen spherical dioptric or refractive interfaces. ### Claim 8 (depends on 7) Optical system according to claim 7 comprising in succession a biconvex convergent first lens, a biconvex convergent second lens, a meniscal divergent third lens, a meniscal divergent fourth lens, a biconvex convergent fifth lens, a biconvex convergent sixth lens and a plano-convex convergent seventh lens. ### Claim 9 (depends on 8) Optical system according to claim 8 comprising an entry dioptric or refractive interface of the meniscal divergent third lens which is concave and an exit dioptric or refractive interface which is convex and an entry dioptric or refractive interface of the meniscal divergent fourth lens which is convex and an exit dioptric or refractive interface which is concave. ### Claim 10 (depends on 8) Optical system according to claim 8 comprising a diaphragm defining a pupil disposed between the meniscal divergent third lens and the meniscal divergent fourth lens. ### Claim 11 (depends on 8) Optical system according to claim 8 wherein the absolute value of the radius of the entry or first dioptric or refractive interface is substantially equal to the sum of the radii of the third, fourth and fifth dioptric or refractive interfaces. ### Claim 12 (depends on 8) Optical system according to claim 8 wherein the absolute value of the radius of the second dioptric or refractive interface is substantially equal to one-half the radius of the seventh dioptric or refractive interface. ### Claim 13 (depends on 8) Optical system according to claim 8 wherein the absolute value of the radius of the second dioptric or refractive interface is substantially equal to three times the radius of the fourteenth dioptric or refractive interface. ### Claim 14 (depends on 8) Optical system according to claim 8 wherein the absolute value of the radius of the fourth dioptric or refractive interface is substantially equal to the sum of the radii of the second and third dioptric or refractive interfaces. ### Claim 15 (depends on 8) Optical system according to claim 8 wherein the radius of the seventh dioptric or refractive interface is substantially equal to five times the radius of the fourteenth dioptric or refractive interface. ### Claim 16 (depends on 8) Optical system according to claim 8 wherein the radii of the ninth and tenth dioptric or refractive interfaces are substantially equal. ### Claim 17 (depends on 8) Optical system according to claim 8 wherein the radii of the eleventh and twelfth dioptric or refractive interfaces are substantially equal. ### Claim 18 (depends on 8) Optical system according to claim 8 having the following geometrical formulation expressed in millimeters: ______________________________________ R1 = 87.980 E1 = 3.200 R2 = -27.530 E2 = .160 R3 = 21.430 E3 = 3.200 R4 = -49.380 E4 = .800 R5 = -17.380 E5 = 1.600 R6 = -53.820 E6 = 4.800 R7 = 45.000 E7 = 1.600 R8 = 23.150 E8 = .800 R9 = 28.500 E9 = 3.200 R10 = -28.500 E10 = .160 R11 = 24.060 E11 = 3.200 R12 = -24.060 E12 = 2.700 R13 = .infin. E13 = 9.000 R14 = -9.010 ______________________________________ in which: R1 is the radius of the first dioptric or refractive interface D1, R2 is the radius of the second dioptric or refractive interface D2, R3 is the radius of the third dioptric or refractive interface D3, R4 is the radius of the fourth dioptric or refractive interface D4, R5 is the radius of the fifth dioptric or refractive interface D5, R6 is the radius of the sixth dioptric or refractive interface D6, R7 is the radius of the seventh dioptric or refractive interface D7, R8 is the radius of the eighth dioptric or refractive interface D8, R9 is the radius of the ninth dioptric or refractive interface D9, R10 is the radius of the tenth dioptric or refractive interface D10, R11 is the radius of the eleventh dioptric or refractive interface D11, R12 is the radius of the twelfth dioptric or refractive interface D12, R13 is the radius of the thirteenth dioptric or refractive interface D13, R14 is the radius of the fourteenth dioptric or refractive interface D14, E1 is the axial distance between the first and second dioptric or refractive interfaces D1, D2, E2 is the axial distance between the second and third dioptric or refractive interfaces D2, D3, E3 is the axial distance between the third and fourth dioptric or refractive interfaces D3, D4, E4 is the axial distance between the fourth and fifth dioptric or refractive interfaces D4, D5, E5 is the axial distance between the fifth and sixth dioptric or refractive interfaces D5, D6, E6 is the axial distance between the sixth and seventh dioptric or refractive interfaces D6, D7, E7 is the axial distance between the seventh and eighth dioptric or refractive interfaces D7, D8, E8 is the axial distance between the eighth and ninth dioptric or refractive interfaces D8, D9, E9 is the axial distance between the ninth and tenth dioptric or refractive interfaces D9, D10, E10 is the axial distance between the tenth and eleventh dioptric or refractive interfaces D10, D11, E11 is the axial distance between the eleventh and twelfth dioptric or refractive interfaces D11, D12, E12 is the axial distance between the twelfth and thirteenth dioptric or refractive interfaces D12, D13, and E13 is the axial distance between the thirteenth and fourteenth dioptric or refractive interfaces D13, D14. ### Claim 19 (depends on 18) Optical system according to claim 18 wherein the first, second, fifth, sixth and seventh lenses are made from a material having a refractive index n.sub.d for a spectral line d of wavelength .lambda..sub.d equal to 1.51680 and constringence .upsilon..sub.d equal to 64.2, and the third and fourth lenses are made from a material having a refractive index n.sub.d for a spectral line d of wavelength .lambda..sub.d equal to 1.67270 and constringence .upsilon..sub.d equal to 32.2. ### Claim 20 Exposure device for modifying, by physical-chemical treatment, the power profile of an artificial optical lens made of a photopolymerizable material, said exposure device comprising a source of radiation and a mask adapted to modulate spatially the energy flux of the source of radiation, and an optical system disposed between said source of radiation and said mask, said optical system for projecting an image of an object plane on a spherical surface, said optical system comprising plural optical elements in optical alignment with a spherical exit dioptric or refractive interface, said plural optical elements be configured to form the spherical image of the object plane substantially superimposed on said spherical interface, said spherical interface having a radius less than the focal length of the optical system. ### Claim 21 (depends on 20) Exposure device according to claim 20 wherein the dioptric or refractive exit interface of the optical system defines means for supporting the artificial optical lens to be irradiated. ### Claim 22 (depends on 21) Exposure device according to claim 21 wherein said plural optical elements comprises a plurality of lenses, the downstream-most lens of said plurality of relative to the direction of propagation of said source of radiation being removably mounted. ### Claim 23 (depends on 20) Exposure device according to claim 20 further comprising a common support for supporting said optical system and said mask associated therewith. ### Claim 24 (depends on 20) Exposure device according to claim 20 wherein said spherical exit dioptric or refractive interface is convex. ### Claim 25 (depends on 20) Exposure device according to claim 20 wherein said optical system has a vertical axis and the spherical exit interface is formed on the upper surface of the uppermost optical element of said plural optical element.