费马最后定理
斯奈尔定律
反射(计算机编程)
几何光学
物理
折射
欧拉公式
经典力学
光学
数学
数学分析
计算机科学
纯数学
程序设计语言
作者
Emmanuel Rousseau,Didier Felbacq
摘要
Beginning with Fermat's principle, we provide a detailed derivation of the generalized laws of refraction and reflection for a geometry realizing a metasurface. We first solve the Euler-Lagrange equations for a light ray propagating across the metasurface. The ray-path equation is found analytically, and the results are supported by numerical calculations. We get generalized laws of refraction and reflection that have three main features: (i) They are relevant in gradient-index optics and in geometrical optics; (ii) A collection of rays emerges from the metasurface as a result of multiple reflections inside the metasurface; and (iii) The laws, although derived from Fermat's principle, differ from previously published results.
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