Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging

Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging

This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation sources from the total-field data. Using the single-layer potential representations on two measurement curves, this co-inversion problem can be decoupled into two inverse problems: an inverse cavity scatter...

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Veröffentlicht in:Inverse problems 2023-06, Vol.39 (6), p.65004
Hauptverfasser: Zhang, Deyue, Guo, Yukun, Wang, Yinglin, Chang, Yan
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Sprache:eng
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co-inversion problem
inverse cavity scattering
inverse source problem
optimization method
sampling method
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Guo, Yukun
Wang, Yinglin
Chang, Yan
description This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation sources from the total-field data. Using the single-layer potential representations on two measurement curves, this co-inversion problem can be decoupled into two inverse problems: an inverse cavity scattering problem and an inverse source problem. This novel decoupling technique is fast and easy to implement since it is based on a linear system of integral equations. Then the uncoupled subproblems are respectively solved by the modified optimization and sampling method. We also establish the uniqueness of this co-inversion problem and analyze the stability of our method. Several numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed method.
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subjects co-inversion problem
inverse cavity scattering
inverse source problem
optimization method
sampling method
title Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging
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