利用散射波的叠加重建声波散射区域

RECOVERING THE SHAPE OF A SCATTERER BY SUPERPOSITION OF THE SCATTERING FIELDS

本文研究了声波散射区域的重建．给出了由散射波的叠加重建散射区域的一个方法，该方法利用散射波的叠加，将声波障碍反散射这个非线性不适定问题分两步处理：第一步求解一个第一类线性积分方程，第二步求解一个非线性最优化问题．

In this paper, the inverse acoustic scattering problem we are onsidering is torecover the shape of a scatterer. A method is presented for recovering the shape of a scattererby superposition of the scattering fields, it is to break up the inverse scattering problem intotwo parts: the first part solves a linear integral equation of the first kind and second partsolves a nonlinear optimization problem. The convergence of the method is proven.