Abstract
We consider the eigenfrequency problem of the magnetic field of Maxwell's equation in a domain Ω of R 3 with an inclusion O under perturbation O δ , which is a thin layer at the wall boundary (skin depth) ∂ O δ . We write the asymptotic formula in terms of the function modelling: the oscillation and the electric permittivity. We establish the convergence of the solution and then we justify a rigorous asymptotic formula for the eigenfrequency.
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