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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. Preprints Fachbereich Mathematik, 2019 (01).

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Official URL: https://edoc.unibas.ch/70076/

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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)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Grote, Marcus J.
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:11 Apr 2019 15:21
Deposited On:11 Apr 2019 15:14

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