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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Published in | Journal of the Optical Society of America. A, Optics, image science, and vision Vol. 35; no. 9; p. 1523 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
United States
01.09.2018
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Online Access | Get more information |
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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. |
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ISSN: | 1520-8532 |
DOI: | 10.1364/JOSAA.35.001523 |