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Article type: Research Article
Authors: Goffi, F.Z.; * | Lemrabet, K. | Laadj, T.
Affiliations: AMNEDP Laboratory, Department of Mathematics, USTHB, Algiers, Algeria. E-mails: fgoffi@usthb.dz, keddourlemrabet@yahoo.fr, laadjt@vt.edu
Correspondence: [*] Corresponding author. E-mail: fgoffi@usthb.dz.
Abstract: We consider the diffraction of time-harmonic electromagnetic waves by a perfectly conducting planar obstacle, coated by thin contrasted multi-layers of dielectric materials. A partial Fourier transform is used to derive an impedance condition that links the tangential components of the electric and magnetic fields, and transfers the boundary condition from the obstacle’s face to the other face of dielectric multi-layers. We first determine the exact formula and construct approximations of the impedance condition for one dielectric thin layer; after that, we extend the obtained result to multi-layers.
Keywords: Time-harmonic Maxwell’s system, scattering, thin dielectric layers, impedance operator
DOI: 10.3233/ASY-161391
Journal: Asymptotic Analysis, vol. 101, no. 1-2, pp. 1-15, 2017
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