ABSTRACT

This paper considers the scattering of time-harmonic acoustic plane waves by a mixed scatterer. Such a scatterer is given as the union of a penetrable homogeneous medium with compact support and an open arc. Firstly, the well-posedness of the direct problem is established by the boundary integral method. Then, we study the factorization method for recovering the shape of the mixed scatterer. Furthermore, some numerical experiments are presented to demonstrate the feasibility and effectiveness of our approach.

中文翻译：

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重构可穿透障碍物与圆弧组合的分解方法

摘要

本文考虑了混合散射体对时谐声平面波的散射。这种散射体是可穿透的均质介质与紧凑支撑和开放弧的结合。首先，利用边界积分法建立直接问题的适定性。然后，我们研究了恢复混合散射体形状的分解方法。此外，还提出了一些数值实验来证明我们方法的可行性和有效性。