Work

Lie algebraic approach to GRIN optimization

Year: 2024
Type: article
Abstract: The Lie algebraic approach provides a systematic method to determine aberration coefficients for ray propagation in inhomogeneous media. We present the underlying concepts and report analytical expressions for aberration coefficients of arbitrary rotationally symmetric gradient-index (GRIN) lenses. These explicit formulas are well-suited for the application of optimization routines that do not require repeated ray tracing at intermediate optimization steps. We optimize a radial lens, for which we recover a classical solution, and a GRIN lens with inhomogeneous terms along the optical axis.
Language: English
Open Access status: gold
OpenAlex ID: W4401606092
FWCI: 0.319
Cites: 20
Cited by: 3
Related to: 10