利用远场模式反演声波阻尼系数与区域

Recovering impedance coefficient and region from the field pattern

目的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边界条件中的阻尼系数和边界。方法应用汉克儿函数的组合来逼近散射波,最终把反散射问题转化为一个最优化问题。结果给出了一种可行和精确的反演方法,并给出了数值例子。结论给出的反演方法不仅数学理论简单,而且反演效果也比较好。

Aim To deal with the problem of inverse time-hormonic acoustic scattering and to recover the impedance coefficient or the shape from the far field pattern of the scattered waves. Methods The combined Hankel function is used to approach the scattered waves, and the inverse time-hormonic acoustic scattering is changed into an optimization. Results An approximation method is presented. Numerical examples are given to show that this method is both accurate and simple to use. Conclusion The method is simple in mathematical theory, and recovering result is very good.