How to solve inverse scattering problems without knowing the source term: A three-step strategy

Marie Graff, Marcus J. Grote, Frédéric Nataf, Franck Assous

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The solution of inverse scattering problems always presupposed knowledge of the incident wavefield and require repeated computations of the forward problem*for which knowing the source term is crucial. Here we present a three-step strategy to solve inverse scattering problems when the time signature of the source is unknown. The proposed strategy combines three recent techniques: (i) wave splitting to retrieve the incident and the scattered wavefields*(ii) time-reversed absorbing conditions (TRAC) for redatuming the data inside the computational domain*(iii) adaptive eigenspace inversion (AEI) to solve the inverse problem. Numerical results illustrate step-by-step the feasibility of the proposed strategy.

Original languageEnglish
Article number104001
JournalInverse Problems
Volume35
Issue number10
DOIs
StatePublished - 4 Sep 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 IOP Publishing Ltd.

Keywords

  • adaptive eigenspace inversion
  • imaging
  • inverse scattering
  • redatuming
  • time-reversed absorbing conditions
  • unknown source term
  • wave splitting

Fingerprint

Dive into the research topics of 'How to solve inverse scattering problems without knowing the source term: A three-step strategy'. Together they form a unique fingerprint.

Cite this