A METHOD FOR SOLVING THE INVERSE SCATTERING PROBLEM FOR SHAPE AND IMPEDANCE

• 来源期刊: 计算数学（英文版）
• 关键词: Impedance boundary condition Helmholtz equation Inverse scattering Convergence
• 年，卷（期）: 2008,（4）
• 页码范围: 624-632
• 页数: 9页
• 语种: 英文

摘要

The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension.Single-layer potential is used to approach the scattered waves.An approximation method is presented and the convergence of the proposed method is established.Numerical examples are given to show that this method is both accurate and easy to use.