5 5 2012 10 Chinese Optics Vol. 5 No. 5 Oct. 2012 1674-2915 2012 05-0525-06 - * 100190-14 - - 14. 51 μm 81. 4 μm - 1. 64 μm / O436. 1 TH703 A doi 10. 3788 /CO. 20120505. 0525 Correction of chromatic aberration for human eyes with diffractive-refractive hybrid elements ZHANG Mei * GENG Zheng State Key Laboratory of Management and Control for Complex Systems Institute of Automation Chinese Academy of Sciences Beijing 100190 China * Corresponding author E-mail changenk@ 163. com Abstract A chromatic corrector with two refractive-diffractive hybrid elements is designed for a wide field-ofview of 14 to correct chromatic aberrations in human eyes. The performance of the corrector based on several optical criteria is compared with a chromatic corrector with single refractive-diffractive element. Results show that both correctors can correct for Longitudinal Chromatic Aberration LCA. However it is demonstrated that the chromatic corrector with a single element introduces serious eccentric Transverse Chromatic Aberration TCA that increases from 14. 61 μm to 81. 4 μm. This deteriorates the image quality at the edge field-ofview. On the chromatic corrector with two refractive-diffractive elements both the LCA and the TCA can be corrected and the TCA is just 1. 64 μm. The designed chromatic corrector can be used to improve the retinal 2012-07-11 2012-08-13 863 No. 2012AA011903
526 5 image quality and has potential applications in the design of visual instruments. Key words chromatic aberration corrector wavefront chromatic aberration wide-angle schematic eye model diffractive-refractive hybrid element 1 J. A. Díaz 1-3 2004 11 / 4-6 L. N. Thibos 2 m - 1 R. Navarro I. Escudero-Sanz 12 / R. Navarro / 2 3 ZEMAX A. C. S. Van Heel 1946 7 RMS 486. 1 nm 656. 3 nm A. L. Lewis 54 mm 1982 8 2 Navarro L. Powell 1981 9 1 Y. Benny 2007 10 R. Navarro -
5-527 Tab. 1 1 Navarro 589. 3 nm Geometrical parameters and refractive indexes for Navarro wide-angle eye model 589. 3 nm /mm /mm 1-0. 26 7. 72 0. 55 1. 376 56. 5 2 0 6. 5 3. 05 1. 337 4 49. 61 0-0 1. 42 48 4-3. 131 6 10. 2 4 1. 42 48 5-1 - 6 16. 320 1. 336 50. 9-12. 00 1 Navarro 14 420 ~ 700 nm 4 mm 1 a 1 b 1 c RMS 1 a 420 ~ 700 nm 486. 8 μm xx' = ff' 1 x x' f f' 555 nm x' f f' 486. 8 μm 22. 04 mm 16. 49 mm x 0. 75 m 1. 34 m - 1 1 b 14. 51 μm 1 c RMS 14. 32 15. 16 μm 3 Fig. 1 1 Navarro 420 470 510 555 Optical properties for wide-angle schematic eye 610 650 700 nm model over visible spectrum 0. 004 0. 091 0. 503 1 0. 503 0. 107 ZEMAX
528 5 4 mm 1 2 / 3 14 / 1 15 mm 3 Navarro / Fig. 3 Layout of corrector with two refractive-diffractive 2 elements and wide-angle eye model Zemax φ r = - A 1 r 2 + A 2 r 4 + A 3 r 6 + 2 4 r A 1 A 2 A 3 RMS 3 A 1 A 2 2 2 Fig. 2 Navarro / Layout of corrector with single refractive-diffractive element and wide-angle eye model / 1 5 mm 4 / / Fig. 4 Curves of the chromatic focal shift of the optical systems with single refractive-diffractive element and two refractive-diffractive elements 2
5-529 5 a 4 4 a / 81. 4 μm 5 b 4 b / 4 a 1. 64 μm 88. 14 μm 1 0. 24 m - 1 4 b / 97. 17 μm 0. 27 m - 1 1. 34 m - 1 ZEMAX / RMS 5 6 5 a / RMS 6 a 5 b / / 6 b 5 Fig. 5 / 6 / RMS Curves of lateral chromatic aberration of the optical Fig. 6 Polychromatic RMS spot radii of the optical sysement systems with single refractive-diffractive eltems with single refractive-diffractive element and two refractive-diffractive elements and with two refractive-diffractive elements
530 5 / RMS 5. 3 μm 5. 67 μm 14. 32 μm 1 c 5 / 7. 1 μm Navarro / 15. 16 μm 14. 87 μm 5 / / 1 THIBOS L N BRADLEY A ZHANG X. The effect of ocular chromatic aberration on monocular visual performance J. Optom. Vis. Sci. 1991 68 599-607. 2 THIBOS L N YE M ZHANG X X et al.. The chromatic eye a new reduced-eye model of ocular chromatic aberration in humans J. Appl. Opt. 1992 31 19 3594-3600. 3 MEETEREN A V W C J UNNEWOLD D. Image quality of the human eye for eccentric entrance pupils J. Vis. Res. 1983 23 573-579. 4 BEDFORD R E WYSZECKI G. Axial chromatic aberration of the human eye J. J. Opt. Soc. Am. 1957 47 564-565. 5 THIBOS L N BRADLEY A STILL D L et al.. Theory and measurement of ocular chromatic aberration J. Vis. Res. 1990 30 33-49. 6 RYNDERS M LIDKEA B CHISHOLM W et al.. Statistical distribution of foveal transverse chromatic aberration pupil centration and angle psi in a population of young adult eyes J. J. Opt. Soc. Am. A 1995 12 2348-2357. 7 van HEEL A C S. Correcting the spherical and chromatic aberrations of the eye J. J. Opt. Soc. Am. A 1946 36 4 237-239. 8 LEWIS A L KATZ M OEHRLEIN C. A modified achromatizing lens J. Am. J. Optom. Physiol. Opt. 1982 59 11 909-911. 9 POWELL I. Lenses for correcting chromatic aberration of the eye J. Appl. Opt. 1981 20 24 4152-4155. 10 BENNY Y MANZANERA S PRIETO P M et al.. Wide-angle chromatic aberration corrector for the human eye J. J. Opt. Soc. Am. A 2007 24 6 1538-1544. 11 DIAZ J A IRLBAUER M MARTINEZ J A. Diffractive-refractive hybrid doublet to achromatize the human eye J. J. Mod. Opt. 2004 51 14 2223-2234. 12 ISABEL E NAVARRO R. Off-axis aberrations of a wide-angle schematic eye model J. J. Opt. Soc. Am. 1999 16 8 1881-1891. 1984 E-mail changenk@ 163. com