Abstract

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

© 2015 Optical Society of America

Simplifying numerical ray tracing for characterization of optical systems

Yakir Luc Gagnon, Daniel I. Speiser, and Sönke Johnsen
Appl. Opt. 53(21) 4784-4790 (2014)

Wide-field optical model of the human eye with asymmetrically tilted and decentered lens that reproduces measured ocular aberrations

James Polans, Bart Jaeken, Ryan P. McNabb, Pablo Artal, and Joseph A. Izatt
Optica 2(2) 124-134 (2015)

Three-dimensional ray tracing in spherical and elliptical generalized Luneburg lenses for application in the human eye lens

J. E. Gómez-Correa, V. Coello, A. Garza-Rivera, N. P. Puente, and S. Chávez-Cerda
Appl. Opt. 55(8) 2002-2010 (2016)

Reconstruction of the Optical System of the Human Eye with Reverse Ray-Tracing

Alexander V. Goncharov, Maciej Nowakowski, Matthew T. Sheehan, and Christopher Dainty
Opt. Express 16(3) 1692-1703 (2008)

Three-dimensional ray-tracing model for the study of advanced refractive errors in keratoconus

Staffan Schedin, Per Hallberg, and Anders Behndig
Appl. Opt. 55(3) 507-514 (2016)