arXiv subjects

Luca Pallucchini

Publications and source records attributed to Luca Pallucchini.

2 recordsLinked to original sources

arXiv2018

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

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-Ampère partial differential equations, and we prove existence of solutions.

math.AP↗

arXiv2017

General Refraction Problems with Phase Discontinuity

This paper provides a mathematical approach to study metasurfaces in non flat 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 law in presence of abrupt discontinuities on the interfaces.

physics.optics↗