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arXiv:1805.00722 [math.AP]AbstractReferencesReviewsResources

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

Cristian E. Gutierrez, Luca Pallucchini

Published 2018-05-02Version 1

A metasurface is a surface, tipically 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, they are Monge-Amp\`ere partial differential equations, and we prove existence of solutions.

Comments: 20 pages, 4 figures
Categories: math.AP, physics.optics
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