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.
DOI: 10.1364/josaa.532205
Institutions: Eindhoven University of Technology, Signify (Netherlands)
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Award: G6316403820
OpenAlex ID: W4401606092
