TY - JOUR
T1 - Lie algebraic approach to GRIN optimization
AU - Barion, A.
AU - Anthonissen, M.J.H.
AU - ten Thije Boonkkamp, J.H.M.
AU - IJzerman, W.L.
PY - 2024/10/1
Y1 - 2024/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85206104753&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.532205
DO - 10.1364/JOSAA.532205
M3 - Article
AN - SCOPUS:85206104753
SN - 1084-7529
VL - 41
SP - 1863
EP - 1872
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 10
ER -