论文标题
从无浮力的近场数据中成像声学障碍及其激发源
Imaging an acoustic obstacle and its excitation sources from phaseless near-field data
论文作者
论文摘要
本文涉及重建声学障碍物及其从无浮力的近场测量值中的激发源。通过将一些人工源补充到反向散射系统中，可以将此共同问题分解为两个反问题：一个反向障碍物散射问题和一个逆源问题，并且可以建立相应的唯一性。这种新颖的解耦技术需要一些额外的数据，但带来了一些显着的好处。首先，我们的方法快速易于实现。其次，不需要障碍物的边界条件。最后，这种近似的解耦方法可以应用于其他共同转移问题，例如确定培养基及其激发源。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 is concerned with reconstructing an acoustic obstacle and its excitation sources from the phaseless near-field measurements. By supplementing some artificial sources to the inverse scattering system, this co-inversion problem can be decoupled into two inverse problems: an inverse obstacle scattering problem and an inverse source problem, and the corresponding uniqueness can be established. This novel decoupling technique requires some extra data but brings in several salient benefits. First, our method is fast and easy to implement. Second, the boundary condition of the obstacle is not needed. Finally, this approximate decoupling method can be applied to other co-inversion problems, such as determining the medium and its excitation sources. Several numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed method.
