Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter

Article type: Research Article

Authors: Ammari, Habib^; | Volkov, Darko

Affiliations: Centre de Mathématiques Appliquées, CNRS UMR 7641 & École Polytechnique, 91128 Palaiseau cedex, France E‐mail: [email protected] | Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA E‐mail: [email protected]

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Abstract: We consider electromagnetic media that consist of a homogeneous (constant coefficient) electromagnetic material with a finite number of small dielectric imperfections. For such media, we provide a rigorous derivation of asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations caused by the presence of the dielectric imperfections.

Keywords: Maxwell's equations, eigenvalues, asymptotics, small dielectric imperfections

Journal: Asymptotic Analysis, vol. 30, no. 3-4, pp. 331-350, 2002