General refraction problems with phase discontinuities on nonflat metasurfaces

This paper provides a mathematical approach to study metasurfaces in nonflat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase discontinuities. The approach contains both the near and far fiel...

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Bibliographic Details
Published inJournal of the Optical Society of America. A, Optics, image science, and vision Vol. 34; no. 7; p. 1160
Main Authors Gutiérrez, Cristian E, Pallucchini, Luca, Stachura, Eric
Format Journal Article
LanguageEnglish
Published United States 01.07.2017
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Summary:This paper provides a mathematical approach to study metasurfaces in nonflat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase discontinuities. The approach contains both the near and far field cases. A starting point is the formulation of a vector Snell's law in the presence of abrupt discontinuities on the interfaces.
ISSN:1520-8532
DOI:10.1364/JOSAA.34.001160