求解物形探测问题的一个数值方法

A Numerical Method for Solving the Shape Detection Problem

物形探测问题属于一类逆问题，它要求在已知声（或电磁）波散射的远场分布信息的条件下，再现物体形状．文中提出了求解此类问题的一个有效和实用的数值方法，并从理论上证明了该方法对任意正波数均是适用的．

As a kind of the inverse problems,the shape detection problem is required to determine the shape of an obstacle having given a knowledge of the far field pattern of the (acoustic or electromagnetic) scattering wave.A numerical method for solving the problem is given,which is theoretically proved to be applicable to all positive values of the wave number.The numerical results show that the proposed method is both effective and simple to use.