Reciprocity relations and completeness of far‐field pattern vectors for obstacle scattering of acoustic wave in a stratified medium

DOI10.1002/mma.1670180104zbMath0818.35076OpenAlexW2059578410MaRDI QIDQ4320637

Yongzhi Xu

Publication date: 2 February 1995

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670180104

zbMATH Keywords

reciprocity relationsscattered wavesfree-wave far-field patternsguided-wave far-field pattern

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items

INVERSE ACOUSTIC SCATTERING PROBLEMS IN OCEAN ENVIRONMENTS ⋮ Some properties on far-field pattern of scattering by penetrable obstacle in ocean waveguide ⋮ Inverse problem for wave propagation in a perturbed layered half-space ⋮ An inverse obstacle scattering problem in a stratified medium ⋮ A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides ⋮ Scattering theory for perturbed stratified media

Cites Work

• Inverse acoustic and electromagnetic scattering theory

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