Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions

DOI10.1016/j.crma.2014.10.009zbMath1315.35212OpenAlexW2075373684MaRDI QIDQ2256802

Xavier Claeys

Publication date: 23 February 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.10.009

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45)

Cites Work

• Partial differential equations. I: Basic theory
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
• Self-adjoint extensions for the Neumann Laplacian and applications
• A general perturbation formula for electromagnetic fields in presence of low volume scatterers
• Asymptotic behaviour of the energy for electromagnetic systems in the presence of small inhomogeneities
• Finite elements in computational electromagnetism
• An Asymptotic Factorization Method for Inverse Electromagnetic Scattering in Layered Media
• A local compactness theorem for Maxwell's equations
• Randwertaufgaben in der verallgemeinerten Potentialtheorie
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