Open AccessModel of radial basis functions based on surface slope for optical freeform surfaces
Author(s) -
Kainian Tong,
Yi Zheng,
Zan Zhang,
Xing Zhao,
Bo Zhang,
Lipei Song,
Lingjie Wang,
Chao Wang,
Pengfei Wu
Publication year - 2018
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.014010
Subject(s) - conic section , optics , radial basis function , surface (topology) , basis (linear algebra) , optical transfer function , materials science , computer science , geometry , physics , mathematics , artificial intelligence , artificial neural network
The model fitting degree of optical freeform surfaces is of utmost design importance. We develop a model with radial basis functions based on the surface slope (RBF-slope) for optical freeform surfaces with asymmetric structures. The RBF-slope model improves the basis-function distribution for circular apertures and establishes a relationship between shape factor and local surface slope, which provides the model with better fitting ability than the conventional RBF model (RBF-direct); fitting experiments for off-axis conic surfaces, "bumpy" paraboloids, and the design of a single mirror magnifier demonstrate the efficacy of our approach. Our method can effectively improve aberration balancing of optical freeform surfaces, resulting in high-quality imaging.