41 citations · 72 across the 11 of their papers we have counts for
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math.AP2018
Refractors in anisotropic media associated with norms
Cristian E. Gutierrez, Qingbo Huang, Henok Mawi
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 la…
math.AP2018★ 11 cited
Reflection and refraction problems for metasurfaces related to Monge-Ampère equations
Cristian E. Gutierrez, Luca Pallucchini
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…
math.AP2018
On the existence of dichromatic single element lenses
Cristian E. Gutierrez, Ahmad Sabra
Due to dispersion, light with different wavelengths, or colors, is refracted at different angles. Our purpose is to determine when is it possible to design a lens made of a single…