远场模式反演声波阻尼区域的一种数值解法

摘要

In the paper, the inverse scattering problem we are considering is to determine the shape of an impedance boundary obstacle from the time-harmonic incident field and the far field pattern of the scattered wave.We use the single-layer potential to approximate the scattered wave.Eventually the inverse scattering problem is transformed into an optimization problem which is solved by Levenberg - Marquardt algorithm. The numerical examples show that this method is feasible and effective.%研究了时间调和的声波反散射问题，利用散射波的远场模式反演阻尼边界条件中的边界。应用单层位势来逼近散射波，最终把反散射问题转化为一个最优化问题，应用Levenberg—Marquardt算法求解。给出的数值例子说明了该反演方法是可行和有效的。