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arXiv · 2109.00787

Factorization method for inverse time-harmonic elastic scattering with a single plane wave

Guanqiu Ma·Guanghui Hu
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Abstract

This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach also applies to the compressional (resp. shear) part of the far-field pattern excited by a single compressional (resp. shear) plane wave. The one-wave factorization is based on the scattering data for a priori given testing scatterers. It can be regarded as a domain-defined sampling method and does not require forward solvers. We derive the spectral system of the far-field operator for rigid disks and show that, using testing disks, the one-wave factorization method can be justified independently of the classical factorization method.

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Guanqiu Ma, Guanghui Hu. 2021-09-02. Factorization method for inverse time-harmonic elastic scattering with a single plane wave. https://doi.org/10.3934/dcdsb.2022050

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