逆散射问题
数学
反问题
障碍物
非线性系统
波动方程
积分方程
反向
散射
逆散射变换
数学分析
应用数学
数学优化
几何学
物理
光学
法学
量子力学
政治学
作者
David Colton,Klaus Giebermann,Peter Monk
标识
DOI:10.1137/s1064827598340159
摘要
The inverse scattering problem under consideration is to determine the shape of an obstacle in $\RE^3$ from a knowledge of the time harmonic incident acoustic wave and the far field pattern of the scattered wave with frequency in the resonance region. A method for solving this nonlinear and improperly posed problem is presented which is based on solving a linear integral equation of the first kind and avoids the use of nonlinear optimization methods. Numerical examples are given showing the practicality of this new approach.
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