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

Abstract : The solution of inverse scattering problems always presupposed knowledge of the incident wave-field 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.
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Submitted on : Thursday, January 31, 2019 - 11:47:15 PM
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Marie Graff, Marcus Grote, Frédéric Nataf, Franck Assous. How to solve inverse scattering problems without knowing the source term: a three-step strategy. Inverse Problems, IOP Publishing, 2019, 35 (10), pp.104001. ⟨https://iopscience.iop.org/article/10.1088/1361-6420/ab2d5f⟩. ⟨hal-02002931⟩

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