Simplifying numerical ray tracing for two-dimensional non circularly symmetric models of the human eye.

作者: Danilo A. Jesus , D. Robert Iskander

DOI: 10.1364/AO.54.010123

关键词: Chebyshev polynomialsPoint spread functionDistributed ray tracingHuman eyeChebyshev functionPhysicsGeometrical opticsRay tracing (graphics)Surface (mathematics)Optics

摘要: Ray tracing is a powerful technique to understand the light behavior through an intricate optical system such as that of human eye. The prediction visual acuity can be achieved characteristics geometrical point spread function. In general, its precision depends on number discrete rays and accurate surface representation each eye’s components. Recently, method simplifies calculation function has been proposed for circularly symmetric systems [Appl. Opt.53, 4784 (2014)APOPAI0003-693510.1364/AO.53.004784]. An extension this 2D noncircularly proposed. method, two-dimensional ray procedure arbitrary surfaces shapes developed where surfaces, rays, refractive indices are all represented in functional forms being approximated by Chebyshev polynomials. Liou Brennan anatomically eye model adapted used evaluating method. Further, real measurements anterior corneal normal, astigmatic, keratoconic eyes were substituted first model. results have shown performing tracing, utilizing approximation, possible models, performed with newly created Chebfun toolbox.

参考文章(21)
D.R. Iskander, M.J. Collins, B. Davis, Optimal modeling of corneal surfaces with Zernike polynomials IEEE Transactions on Biomedical Engineering. ,vol. 48, pp. 87- 95 ,(2001) , 10.1109/10.900255
A. van Meeteren, Calculations on the Optical Modulation Transfer Function of the Human Eye for White Light Journal of Modern Optics. ,vol. 21, pp. 395- 412 ,(1974) , 10.1080/713818902
R. Pachon, R. B. Platte, L. N. Trefethen, Piecewise smooth chebfuns Ima Journal of Numerical Analysis. ,vol. 30, pp. 898- 916 ,(2010) , 10.1093/IMANUM/DRP008
Jason Porter, Antonio Guirao, Ian G. Cox, David R. Williams, Monochromatic aberrations of the human eye in a large population. Journal of The Optical Society of America A-optics Image Science and Vision. ,vol. 18, pp. 1793- 1803 ,(2001) , 10.1364/JOSAA.18.001793
Mehdi Bahrami, Alexander V. Goncharov, Geometry-invariant GRIN lens: finite ray tracing Optics Express. ,vol. 22, pp. 27797- 27810 ,(2014) , 10.1364/OE.22.027797
Lloyd N. Trefethen, Computing Numerically with Functions Instead of Numbers Mathematics in Computer Science. ,vol. 1, pp. 9- 19 ,(2007) , 10.1007/S11786-007-0001-Y
JOHN E. GREIVENKAMP, JIM SCHWIEGERLING, JOSEPH M. MILLER, MARK D. MELLINGER, Visual Acuity Modeling Using Optical Raytracing of Schematic Eyes American Journal of Ophthalmology. ,vol. 120, pp. 227- 240 ,(1995) , 10.1016/S0002-9394(14)72611-X
David A. Atchison, George Smith, Continuous gradient index and shell models of the human lens. Vision Research. ,vol. 35, pp. 2529- 2538 ,(1995) , 10.1016/0042-6989(95)00019-V
Edwin J Sarver, Raymond A Applegate, James B Doshi, Schematic eye models for simulation of patient visual performance. Journal of Refractive Surgery. ,vol. 17, pp. 414- 419 ,(2001) , 10.3928/1081-597X-20010701-02
Javier Ruiz-Alcocer, David Madrid-Costa, Santiago García-Lázaro, Teresa Ferrer-Blasco, Robert Montés-Micó, Optical performance of two new trifocal intraocular lenses: through-focus modulation transfer function and influence of pupil size. Clinical and Experimental Ophthalmology. ,vol. 42, pp. 271- 276 ,(2014) , 10.1111/CEO.12181