反演声波阻尼系数的简单方法

Simple Method for Inversion of Acoustic Impedance Coefficient

研究时间调和声波的反散射问题,利用散射波的远场模式反演阻尼边界条件中的阻尼系数.首先利用单双层位势的组合逼近散射波,然后在边界上令总体场为零,将反散射问题转化为一个最优化问题,最后给出了两个二维空间的数值例子,说明了该反演方法是简单、可行和有效的.

In this paper,the inverse scattering problem of time-harmonic acoustic was studied.The impedance coefficient with an impedance boundary condition was inversed by using far field pattern of scattered wave.Firstly,combined single and double-layer potential was used to approximate the scattered wave.Then the total wave was made equal to zero on the boundary,and the inverse scattering problem was transformed into an optimization problem.In the end,two numerical examples in two-dimension space were given to evidence that the method is simple,feasible and effective.