Refractors in anisotropic media associated with norms. (November 2019)

• Record Type: Journal Article
• Authors: Gutiérrez, Cristian E.; Huang, Qingbo; Mawi, Henok
• Is Part Of: Nonlinear analysis. Volume 188(2019)
• Page Start: 125
• Page End: 141
• Publication Date: 2019-11
• Subjects: Nonlinear pdes -- Geometric optics -- Convexity -- Metamaterials; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.05.020
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We show existence of interfaces between two anisotropic materials so that light is refracted in accordance with a given pattern of energy. To do this we formulate a vector Snell law for anisotropic media when the wave fronts are given by norms for which the corresponding unit spheres are strictly convex.