Principle of local wave front conjugation in ray tracing aberrometry
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Abstract
Measurement errors, having their origin in using the optical system of an eye as a part of the aberrometer, are analyzed. Today, fast automatic techniques did not care about this kind of errors. The article attempts to fill in the gap. The simulation is made with the ZEMAX software for outgoing (Hartmann-Shack) and ingoing (ray tracing) technologies. It is shown, that in the first case, the errors correspond to simple tilts to be easily excluded at processing. In the second case, the error dependencies are more complicated. The principle of local wave front conjugation for ray tracing aberrometry, based on the control of the tilt of the beam entering the eye, is proposed.
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References
S. Smirnov, “Smirnov Measurement of wave aberration of the eye”, Biophysics, no. 6, pp. 776–794, 1961.
R. H. Webb, C. M. Penney, and K. P. Thompson, “Measurement of ocular local wavefront distortion with a spatially resolved refractometer”, Applied Optics, vol. 31, no. 19, p. 3678, Jul. 1992. DOI:10.1364/AO.31.003678
J. Liang, B. Grimm, S. Goelz, and J. F. Bille, “Objective measurement of wave aberrations of the human eye with the use of a Hartmann–Shack wave-front sensor”, Journal of the Optical Society of America A, vol. 11, no. 7, p. 1949, Jul. 1994. DOI:10.1364/JOSAA.11.001949
V. V. Molebny, “Retina ray-tracing technique for eye-refraction mapping”, in BiOS ’97, Part of Photonics West, San Jose, CA, 1997, pp. 175–183. DOI:10.1117/12.275118
R. Navarro and E. Moreno-Barriuso, “Laser ray-tracing method for optical testing”, Optics Letters, vol. 24, no. 14, p. 951, Jul. 1999. DOI:10.1364/OL.24.000951
P. Mierdel, M. Kaemmerer, M. Mrochen, H.-E. Krinke, and T. Seiler, “Ocular optical aberrometer for clinical use”, Journal of Biomedical Optics, vol. 6, no. 2, p. 200, Jan. 2001. DOI:10.1117/1.1344589
M. Tscherning, “Die monochromatischenAberrationen des menschlichen”, Zeitschrift für Psychologie und Physiologie derSinnesorgane, no. 6, pp. 456–471, 1894.
M. Fujieda, Ophthalmic measurement apparatus having plural pairs of photoreceiving elements. U.S. Patent 5,907,388. 25.05.1999
S. MacRae and M. Fujieda, “Slit Skiascopic-guided Ablation Using the Nidek Laser”, Journal of Refractive Surgery, vol. 16, no. 5, Sep. 2000. DOI:10.3928/1081-597X-20000901-18
J. Liang, D. R. Williams, and D. T. Miller, “Supernormal vision and high-resolution retinal imaging through adaptive optics”, Journal of the Optical Society of America A, vol. 14, no. 11, p. 2884, Nov. 1997. DOI:10.1364/JOSAA.14.002884
D. R. Williams, J. Liang. Method and apparatus for improving vision and the resolution of retinal images. U.S. Patent 5,777,719. 07.07.1997
B. M. Levine, A. Wirth, C. H. Knowles. Ophthalmic instrument with adaptive optic subsystem that measures aberrations (including higher order aberrations) of a human eye and that provides a view of compensation of such aberrations to the human eye. U.S. Patent 6,709,108. 23.03.2004
C.E. Campbell. Eye refractor with active mirror wavefront sensor. U.S. Patent 7,128,416. 31.10.2006
T. Nirmaier, G. Pudasaini, and J. Bille, “Very fast wave-front measurements at the human eye with a custom CMOS-based Hartmann�??Shack sensor”, Optics Express, vol. 11, no. 21, p. 2704, Oct. 2003.
J. Vaillant, “Wavefront sensor architectures fully embedded in an image sensor”, Applied Optics, vol. 46, no. 29, p. 7110, Oct. 2007. DOI:10.1364/AO.46.007110
F.-Y. Chen, W.-Y. Wang, Y.-H. Chang, T.-Y. Wu, Surface MEMS mirrors with oxide spacers, U.S. Patent 7,205,176. 17.04.2007
D. R. Williams, D. H. Brainard, M. J. McMahon, and R. Navarro, “Double-pass and interferometric measures of the optical quality of the eye”, Journal of the Optical Society of America A, vol. 11, no. 12, p. 3123, Dec. 1994. DOI:10.1364/JOSAA.11.003123
P. Artal, S. Marcos, D. R. Williams, and R. Navarro, “Odd aberrations and double-pass measurements of retinal image quality”, Journal of the Optical Society of America A, vol. 12, no. 2, p. 195, Feb. 1995. DOI:10.1364/JOSAA.12.000195
V. N. Kurashov, “Double-pass wave model in eye aberrations study”, in BiOS Europe ’97, San Remo, Italy, 1997, pp. 243–248. DOI:10.1117/12.297847
R. Navarro, Private communication. 2nd AegianSummer School in Visual Optics, Santorini: Greece, 2003.
L. Diaz Santana Haro and J. C. Dainty, “Single-pass measurements of the wave-front aberrations of the human eye by use of retinal lipofuscin autofluorescence”, Optics Letters, vol. 24, no. 1, p. 61, Jan. 1999. DOI:10.1364/OL.24.000061
ZEMAX. Optical Design Program. User's Guide. Version 10.0. Focus Software, Inc., Tucson, AZ. 2001, pp. 472
Methods for reporting optical aberrations of eyes. American National Standard for Ophthalmics: ANSI Z80.28-2004. American National Standards Institute, Inc. 14.05.2004, pp.36



