Mathematical Modeling for scalar sscalar interface problems between dielectric and metamaterial

Abstract

International audienceSome electromagnetic materials have, in a given frequency range, an e ective dielectric permittivity and/or a magnetic permeability which are real-valued negative coe cients when dissipa- tion is neglected. They are usually called metamaterials. We study a scalar transmission problem between a classical dielectric material and a metamaterial, set in an open, bounded subset of R