Interface conditions for Maxwell’s equations by homogenization of thin inclusions: transmission, reflection or polarization
Loading...
Date
2025-01-29
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We consider the time-harmonic Maxwell equations in a complex
geometry. We are interested in geometries that model polarization
filters or Faraday cages. We study the situation that the underlying
domain contains perfectly conducting inclusions, the inclusions are distributed
in a periodic fashion along a surface. The periodicity is η > 0
and the typical scale of the inclusion is η, but we allow also the presence of
even smaller scales, e.g. when thin wires are analyzed. We are interested
in the limit η → 0 and in effective equations. Depending on geometric
properties of the inclusions, the effective system can imply perfect transmission,
perfect reflection or polarization.
Description
Table of contents
Keywords
Maxwell’s equations, Homogenization, Interface conditions, Polarization