Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions

DOI10.1088/0266-5611/31/4/045006zbMath1319.65106arXiv1410.8382OpenAlexW2071601518MaRDI QIDQ5260920

Lucas Chesnel, Anne-Sophie Bonnet-Ben Dhia, Sergueï A. Nazarov

Publication date: 30 June 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8382

zbMATH Keywords

algorithmweak formulationHelmholtz equationasymptotic analysisSommerfeld radiation conditionfactorization methodexterior probleminterior transmission probleminvisibilityenergy identitiesnon-scattering wavenumbersrelative scattering matrix

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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