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

Abstract This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation sources from total-field data. Using single-layer potential representations on two measurement curves, this co-inversion problem can be decoupled into inverse problems: an scattering source problem. novel decoupling technique is fast easy to implement since it based linear system integral equations. Then uncoupled subproblems are respectively solved by modified optimization sampling method. We also establish uniqueness analyze stability our Several numerical examples presented demonstrate feasibility effectiveness proposed