Zernike phase spatial filter for measuring the aberrations of the optical structures of the eye

Svetlana N. Khonina (Login required)
Image Processing Systems Institute of the Russian Academy of Sciences, Samara, Russian Federation

Victor V. Kotlyar
Samara State Aerospace University, Russian Federation

Dmitriy V. Kirsh
Samara State Aerospace University, Russian Federation


Paper #2468 received 2015.05.29; revised manuscript received 2015.06.23; accepted for publication 2015.06.25; published online 2015.06.30.

DOI: 10.18287/jbpe-2015-1-2-146

Abstract

To measure directly the wavefront aberration coefficients, we propose to use the multi-order diffractive element fitted with the set of Zernike polynomials. Polynomials of lowest degree describe defocusing (ametropy) and astigmatism. Coefficients of highest degree correspond to the spherical aberration of oblique rays that occurs as a consequence of misalignment of the crystalline lens and foveola, as well as deflection at the periphery of the crystalline lens. Multi-order elements allow several tens of expansions coefficients to be measured simultaneously, which will enable to investigate insufficiently known high-order aberrations for the differentiated diagnostics of eye diseases.

Keywords

wavefront aberrations; eye optical system; Zernike polynomials; multi-order diffractive elements; expansion coefficients

Full Text:

PDF

References


1. M. S. Smirnov, “Measurement of the wave aberration of the human eye”, Biofizika 6, 776–795 (1961).

2. H. C. Howland, and B. Howland, “A subjective method for the measurement of monochromatic aberrations of the eye”, J. Opt. Soc. Am. 67(11), 1508–1518 (1977).

3. F. Berny, and S. Slansky, “Wavefront determination resulting from Foucault test as applied to the human eye and visual instruments”, Optical Instruments and Techniques, 375–386 (1969).

4. P. Artal, J. Santamaría, and J. Bescós,“Retrieval of the wave aberration of human eyes from actual point-spread function data”, J. Opt. Soc. Am. 5(8), 1201–1206 (1988).

5. D. A. Atchison, “Invited review recent advances in measurement of monochromatic aberrations of human eyes”, Clin Exp Optom 88(1), 5–27 (2005). Crossref

6. A. S. Goncharov et al., “Modal tomography of aberrations of the human eye”, Laser Physics, 16(12), 1689–1695 (2006). Crossref

7. M. Lombardo, and G. Lombardo, “New methods and techniques for sensing the wave aberrations in human eyes”, Clin Exp Optom 92(3), 176–186 (2009). Crossref

8. P. Artal, “Optics of the eye and its impact in vision: a tutorial”, Advances in Optics and Photonics 6(3), 340–367 (2014). Crossref

9. G. Artzner, “Microlens arrays for Shack-Hartmann wavefront sensors”, Opt. Eng. 31(6), 1311-1322 (1992). Crossref

10. J. Liang et al., “Objective measurement of the WA´s aberration of the human eye with the use of a Hartmann-Shack sensor”, J. Opt. Soc. Am. 11, 1949–1957 (1994). Crossref

11. American National Standards Institute, Inc. American National Standards for Ophthalmics – Methods for Reporting Optical Aberrations of Eyes. ANSI Z80.28 (2004).

12. International Organization for Standardization (ISO). Ophthalmic Optics and Instruments – Reporting Aberrations of the Human Eye. Geneva, Switzerland (2008).

13. R. A. Applegate et al., “Visual acuity as a function of Zernike mode and level of root mean square error”, Optom Vis Sci 80(2), 97–105 (2003). Crossref

14. D. L. Golovashkin et al., Computer Design of Diffractive Optics, Ed. by V. A. Soifer, Cambridge Inter. Scien. Pub. Ltd.& Woodhead Pub. Ltd., Cambridge (2012).

15. S. N. Khonina et al., “Experimental selection of spatial Gauss-Laguerre modes”, Optical Memory and Neural Networks 9(1), 69–74 (2000).

16. V. V. Koltyar, and S. N. Khonina, “Multi-order diffractive optical elements to process data”, Chap. 2 in Perspectives in Engineering Optics, K. Singh, V. K. Rastogi, Eds., pp. 47–56 Anita Publications,

17. Delhi (2003).

18. S. N. Khonina et al., “Generation and selection of laser beams represented by a superposition of two angular harmonics”, Journal of Modern optics, 51(5), 761–773 (2004). Crossref

19. V. V. Kotlyar et al., “Coherent field phase retrieval using a phase Zernike filter”, Computer Optics 17, 43–48 (1997).

20. S. N. Khonina et al., “Phase reconstruction using a Zernike decomposition filter”, Computer Optics 18, 52–56 (1998).

21. S. N. Khonina, V. V. Kotlyar, and Ya Wang, “Diffractive optical element matched with Zernike basis”, Pattern Recognition and Image Analysis 11(2), 442–445 (2001).

22. M. Born, and E. Wolf, Principlies of Optics, Pergamon Press, Oxford (1968).






© 2014-2025 Authors
Public Media Certificate (RUS
). 12+