Generalized impedance boundary conditions for thin dielectric coatings with variable thickness

Creative Commons License

Aslanyürek B., Haddar H., Şahintürk H.

WAVE MOTION, vol.48, no.7, pp.681-700, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 7
  • Publication Date: 2011
  • Doi Number: 10.1016/j.wavemoti.2011.06.002
  • Journal Name: WAVE MOTION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.681-700
  • Keywords: Scattering problems, Electromagnetism, Asymptotic models, Generalized impedance boundary conditions, GIBC Thin coatings, SCATTERING, DOMAIN, WAVES
  • Yıldız Technical University Affiliated: Yes

Abstract

We derive the so-called Generalized Impedance Boundary Conditions (GIBC) that model thin dielectric coatings with variable width located on a perfect electric or magnetic conducting surface. We treat the 2-D electromagnetic problem for both TM and TE polarizations. The expressions of the GIBCs are obtained up to the third order (with respect to the coating width). The order of convergence is numerically validated through various numerical examples using a finite element type method. Particular attention is given to the cases where the inner boundary has corner singularities.

We derive the so-called Generalized Impedance Boundary Conditions (GIBC) that model thin dielectric coatings with variable width located on a perfect electric or magnetic conducting surface. We treat the 2-D electromagnetic problem for both TM and TE polarizations. The expressions of the GIBCs are obtained up to the third order (with respect to the coating width). The order of convergence is numerically validated through various numerical examples using a finite element type method. Particular attention is given to the cases where the inner boundary has corner singularities. (C) 2011 Elsevier B.V. All rights reserved.