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

  • *Corresponding author: Guanghui Hu

    *Corresponding author: Guanghui Hu

This work is supported by NSFC 12071236 and NSAF U1930402

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  • 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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  • Figure 4.1.  Illustration of a convex polygonal source term where $ O $ is corner point of $ D $

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