论文标题
通过局部粗糙界面进行反声散射的线性抽样方法
A linear sampling method for inverse acoustic scattering by a locally rough interface
论文作者
论文摘要
本文与无界的，局部粗糙的界面相关的是骨气声散射的逆问题，该界面被认为是平面的局部扰动。本文的目的是从直线段上给出的近场测量中恢复界面的局部扰动，在接口上方有有限距离并通过点源生成。确切地说，我们提出了一种新颖的线性采样方法，以数值恢复界面的局部扰动的位置和形状。我们的方法基于与特殊粗糙表面相关的修改后的近场算子方程，该方程是通过将正向散射问题重新构建为有界域中等效的积分方程式制成的，从而导致快速成像算法。提出了数值实验，以说明成像方法的有效性。
This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be a local perturbation of a plane. The purpose of this paper is to recover the local perturbation of the interface from the near-field measurement given on a straight line segment with a finite distance above the interface and generated by point sources. Precisely, we propose a novel version of the linear sampling method to recover the location and shape of the local perturbation of the interface numerically. Our method is based on a modified near-field operator equation associated with a special rough surface, constructed by reformulating the forward scattering problem into an equivalent integral equation formulation in a bounded domain, leading to a fast imaging algorithm. Numerical experiments are presented to illustrate the effectiveness of the imaging method.
