Interface Conditions for Maxwell’s Equations by Homogenization of Thin Inclusions: Transmission, Reflection, or Polarization
Abstract
Abstract. We consider the time-harmonic Maxwell’s equations in a complex geometry. Of particular interest are geometries that model polarization filters or Faraday cages. We study the situation in which the underlying domain contains perfectly conducting inclusions, and the inclusions are distributed in a periodic fashion along a surface. The periodicity is [Formula: see text] and the typical scale of the inclusion is [Formula: see text], but we allow also the presence of even smaller scales, e.g., when thin wires are analyzed. We are interested in the limit [Formula: see text] and in effective equations. Depending on geometric properties of the inclusions, the effective system can imply perfect transmission, perfect reflection, or polarization.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Composite Material Mechanics
Electromagnetic Simulation and Numerical Methods
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 3
- Pages
- 2186–2213
- Publication date
- 5 May 2026
- Language
- EN