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How To Solve Inverse Scattering Problems Without Knowing the Source Term: A Three-step Strategy

Graff, Marie and Grote, Marcus J. and Nataf, Frédéric and Assous, Franck. (2019) How To Solve Inverse Scattering Problems Without Knowing the Source Term: A Three-step Strategy. Inverse Problems, 35 (10). p. 104001.

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Official URL: https://edoc.unibas.ch/75284/

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
UniBasel Contributors:Grote, Marcus J.
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Institute of Physics Publishing
ISSN:0266-5611
e-ISSN:1361-6420
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:02 Jul 2020 11:53
Deposited On:24 Jun 2020 13:32

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