论文标题
散射腔及其内部来源的共归结：独特性，脱钩和成像
Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging
论文作者
论文摘要
本文涉及声音软腔的同时重建及其从总领域数据中的激发源。使用在两个测量曲线上的单层电位表示形式，可以将此共同的问题分解为两个反问题：一个反腔散射问题和一个逆源问题。这种新颖的去耦技术非常易于实现，因为它基于积分方程的线性系统。然后，通过修改的优化和采样方法分别解决了未耦合的子问题。我们还建立了这种共同转移问题的唯一性，并分析了我们方法的稳定性。提出了几个数值示例，以证明所提出方法的可行性和有效性。
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.
