Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging
arXiv:2207.06133 · doi:10.1088/1361-6420/accc4f
Abstract
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.
arXiv comment21 pages, 7 figures
References in corpus (6)
- Determining both sound speed and internal source in thermo- and photo-acoustic tomography
- Determining a random Schrödinger operator: both potential and source are random
- Determining a random Schrödinger equation with unknown source and potential
- Recovery of an embedded obstacle and its surrounding medium by formally-determined scattering data
- Uniqueness in inverse cavity scattering problems with phaseless near-field data
- Uniqueness to some inverse source problems for the wave equation in unbounded domains