Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations

DOI10.1216/JIE-2015-27-3-375zbMath1332.35247OpenAlexW2963554661MaRDI QIDQ907324

Fioralba Cakoni, Shixu Meng, Houssem Haddar

Publication date: 25 January 2016

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1450388941

zbMATH Keywords

Maxwell's equationsboundary integral equationsinverse scatteringtransmission eigenvalue problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Related Items (7)

The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ The generalized linear sampling and factorization methods only depends on the sign of contrast on the boundary ⋮ On the behavior of resonant frequencies in the presence of small anisotropic imperfections ⋮ A boundary integral equation method for the transmission eigenvalue problem ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Cites Work

• Unnamed Item
• A qualitative approach to inverse scattering theory
• Surface integral formulation of the interior transmission problem
• On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
• The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
• On the interior transmission eigenvalue problem
• On the existence of transmission eigenvalues
• A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media
• An integral equation for Maxwell's equations in a layered medium with an application to the factorization method
• Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
• Interior transmission eigenvalue problem for Maxwell's equations: the T -coercivity as an alternative approach
• Ellipticity in the Interior Transmission Problem in Anisotropic Media
• Spectral properties of the exterior transmission eigenvalue problem
• The Linear Sampling Method in Inverse Electromagnetic Scattering
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• The Electromagnetic Interior Transmission Problem for Regions with Cavities
• The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
• The inverse electromagnetic scattering problem for anisotropic media
• Transmission Eigenvalues
• Transmission eigenvalues
• Spectral analysis of the interior transmission eigenvalue problem
• A numerical method to compute interior transmission eigenvalues
• Linear integral equations
• Inverse acoustic and electromagnetic scattering theory

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