Maxwell’s equations with mixed impedance boundary conditions
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Date
2025-10-16
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Abstract
We study the time-harmonic Maxwell equations on
bounded Lipschitz domains with an impedance boundary condition.
The impedance coefficient can be matrix valued such that, in particular,
a polarization dependent impedance is modeled. We derive a
Fredholm alternative for this system. As a consequence, we obtain the
existence of weak solutions for arbitrary sources when the frequency
is not a resonance frequency. Our analysis covers the case of singular
impedance coefficients
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Keywords
Maxwell’s equations, Impedance boundary condition, Polarization