Reflection and refraction problems for metasurfaces related to Monge-Ampère equations

A metasurface is a surface, typically a plane, on which a function called phase discontinuity is chosen so that the metasurface produces a desired reflection or refraction job. We derive the equations that the phase discontinuity function must satisfy, i.e., Monge-Ampère partial differential equatio...

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Bibliographic Details
Published inJournal of the Optical Society of America. A, Optics, image science, and vision Vol. 35; no. 9; p. 1523
Main Authors Gutiérrez, Cristian E, Pallucchini, Luca
Format Journal Article
LanguageEnglish
Published United States 01.09.2018
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Summary:A metasurface is a surface, typically a plane, on which a function called phase discontinuity is chosen so that the metasurface produces a desired reflection or refraction job. We derive the equations that the phase discontinuity function must satisfy, i.e., Monge-Ampère partial differential equations, and we prove the existence of solutions.
ISSN:1520-8532
DOI:10.1364/JOSAA.35.001523