Analytical surrogate model for the aberrations of an arbitrary GRIN lens

John A. Easum, Sawyer D. Campbell, Jogender Nagar, Douglas H. Werner

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)17805-17818
Number of pages14
JournalOptics Express
Issue number16
StatePublished - Aug 8 2016

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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