Open AccessLeast-squares ray mapping method for freeform illumination optics design
Author(s) -
Shili Wei,
Zhengbo Zhu,
Zichao Fan,
DingLin Ma
Publication year - 2020
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.385254
Subject(s) - pointwise , robustness (evolution) , optics , computer science , moving least squares , geometrical optics , boundary value problem , minification , least squares function approximation , algorithm , mathematical optimization , mathematics , physics , mathematical analysis , estimator , biochemistry , chemistry , statistics , gene
Computing a source-target map that yields integrable surface normal field is quite challenging for freeform illumination design. Here, we propose a least-squares ray mapping method to calculate a superior ray mapping by iteratively correcting an integrable map to approach the energy conservation and boundary condition. The process is implemented via solving three minimization problems. The first two problems can be figured out pointwise and the third can be converted to two decoupled Poisson equations with Robin boundary conditions. We demonstrate the robustness and high efficiency of the proposed method with several design examples.