Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves

DOI10.1137/20M1367854zbMath1475.35126OpenAlexW3202642309MaRDI QIDQ5155612

Jingni Xiao, Michael S. Vogelius

Publication date: 7 October 2021

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

Full work available at URL: https://doi.org/10.1137/20m1367854

zbMATH Keywords

Helmholtz equationHerglotz wavesnonscattering wave numbers

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (7)

On new surface-localized transmission eigenmodes ⋮ Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities ⋮ On the distribution of Born transmission eigenvalues in the complex plane ⋮ On the regularity of non-scattering anisotropic inhomogeneities ⋮ Free boundary methods and non-scattering phenomena ⋮ A perturbation problem for transmission eigenvalues ⋮ A new type of CGO solutions and its applications in corner scattering

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• The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
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