Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues

DOI10.1137/14098538XzbMath1321.35225MaRDI QIDQ5264965

Armin Lechleiter, Marcel Rennoch

Publication date: 21 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Maxwell equationselectromagnetic waveexistence resultfar field operatorinterior transmission eigenvalue problemHerglotz operator

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Related Items (11)

The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ Interior Transmission Eigenvalues for Anisotropic Media ⋮ Improvement of the Inside-Outside Duality Method ⋮ Recursive integral method for transmission eigenvalues ⋮ Monotonicity in inverse scattering for Maxwell's equations ⋮ Nonlocal impedance conditions in direct and inverse obstacle scattering ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ An inverse medium problem using Stekloff eigenvalues and a Bayesian approach ⋮ The inverse scattering problem for a conductive boundary condition and transmission eigenvalues ⋮ Inside–outside duality with artificial backgrounds ⋮ Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

Cites Work

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• Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields
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