5. Eigenvalue problems in inverse electromagnetic scattering theory

DOI10.1515/9783110543612-005zbMath1445.78004arXiv1805.06986OpenAlexW4206085083MaRDI QIDQ3299897

David Colton, Samuel Cogar, Peter B. Monk

Publication date: 27 July 2020

Published in: Maxwell’s Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06986

zbMATH Keywords

anisotropic mediainverse electromagnetic scattering

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (9)

A few results on permittivity variations in electromagnetic cavities ⋮ Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ Analysis of a Trace Class Stekloff Eigenvalue Problem Arising in Inverse Scattering ⋮ On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations ⋮ Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory ⋮ On the modified transmission eigenvalue problem with an artificial metamaterial background ⋮ Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification ⋮ Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media

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