3 papers
math.AP2025
Refraction laws in temporal media
Cristian E. Gutiérrez, Eric Stachura
We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at tempora…
math.AP2020
Quantitative Trace Estimates for the Maxwell system in Lipschitz Domains
Eric Stachura, Niklas Wellander
We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of…
physics.optics2017
General Refraction Problems with Phase Discontinuity
Cristian E. Gutierrez, Luca Pallucchini, Eric Stachura
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 direct…