Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern

Guanghui Hu*, Jingzhi Li, Hongyu LIU, Hongpeng Sun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We develop three inverse elastic scattering schemes for locating multiple small, extended, and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of these schemes are certain indicator functions, which are obtained by using only a single far-field pattern of the pressure (longitudinal) wave, or the shear (transversal) wave, or the total wave field. Though the inverse scat tering problem is known to be nonlinear and ill-posed, the proposed reconstruction methods are totally “direct,” and there are no inversions involved. Hence, the methods are very efficient and robust against noisy data. Both rigorous mathematical justifications and numerical simulations are presented in our study.

Original languageEnglish
Pages (from-to)1799-1825
Number of pages27
JournalSIAM Journal on Imaging Sciences
Volume7
Issue number3
DOIs
Publication statusPublished - 17 Sep 2014

Scopus Subject Areas

  • Mathematics(all)
  • Applied Mathematics

User-Defined Keywords

  • A single measurement
  • Indicator functions
  • Inverse elastic scattering
  • Locating schemes
  • Multiscale rigid bodies

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