Open AccessAnalytical surrogate model for the aberrations of an arbitrary GRIN lens
Author(s) -
John A. Easum,
Sawyer D. Campbell,
Jogender Nagar,
Douglas H. Werner
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.017805
Subject(s) - paraxial approximation , zernike polynomials , optics , lens (geology) , gradient index optics , trace (psycholinguistics) , surrogate model , thin lens , refractive index , polynomial , computer science , wavefront , physics , mathematics , beam (structure) , mathematical optimization , mathematical analysis , linguistics , philosophy
Current analytical expressions between Gradient-Index (GRIN) lens parameters and optical aberrations are limited to paraxial approximations, which are not suitable for realizing GRIN lenses with wide fields of view or small f-numbers. Here, an analytical surrogate model of an arbitrary GRIN lens ray-trace evaluation is formulated using multivariate polynomial regressions to correlate input GRIN lens parameters with output Zernike coefficients, without the need for approximations. The time needed to compute the resulting surrogate model is over one order-of-magnitude faster than traditional ray trace simulations with very little losses in accuracy, which can enable previously infeasible design studies to be completed.