Bringing metasurfaces to analytical lens design: stigmatism and specific ray mapping

作     者：Borne, Jeck Bouillon, Christopher Piche, Michel Thibault, Simon 

作者机构：Univ Laval Ctr opt photon & laser Quebec City PQ G1V0A6 Canada 

出 版 物：《OPTICS EXPRESS》 (Opt. Express)

年 卷 期：2024年第32卷第4期

页      面：6062-6075页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Natural Sciences and Engineering Research Council of Canada [RGPIN-2016-05962] 

主　　题：Diffractive lenses Lens design Optical design software Optical elements Optical systems Spherical aberration 

摘      要：We propose a method to design the exact phase profile of at least one metasurface in a stigmatic singlet that can be made to implement a desired ray mapping. Following the generalized vector law of refraction and Fermat s principle, we can obtain exact solutions for the required lens shape and phase profile of a phase gradient metasurface to respect particular ray conditions (e.g., Abbe sine) as if it were a freeform refractive element. To do so, the method requires solving an implicit ordinary differential equation. We present comparisons with Zemax simulations of illustrative designed lenses to confirm the anticipated optical behaviour.