Abstract
We consider the eigenfrequency problem of the magnetic field of Maxwell's equation in a domain Ω of with an inclusion O under perturbation , which is a thin layer at the wall boundary (skin depth) . 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.
Acknowledgments
The authors are very grateful to the referees for their pertinent comments and suggestions which have served to improve the content and the form of this manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).