Open AccessDouble freeform surfaces design for beam shaping with non-planar wavefront using an integrable ray mapping method
Author(s) -
Shili Wei,
Zhengbo Zhu,
Zichao Fan,
Yiming Yan,
Donglin Ma
Publication year - 2019
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.27.026757
Subject(s) - optics , wavefront , paraxial approximation , beam (structure) , planar , gaussian beam , physics , zernike polynomials , computer science , computer graphics (images)
We propose a method to design double smooth freeform surfaces applied in beam shaping with a ray mapping method in the paper. We couple the calculation of ray mapping and the construction of freeform surfaces to approach the surface normal field integrability condition based on the symplectic flow mapping scheme. In this paper, the incident beam wavefront is not limited to be planar or spherical. Several challenging design examples are presented that include transforming a circular Gaussian beam to an unconventional beam with variously shaped contour, and transforming an elliptic beam to a convergent beam with complex irradiance distribution in non-paraxial regime. The results show the high efficiency and feasibility of the proposed method in designing freeform optics for beam shaping applications.