随机周期结构的逆散射
Inverse scattering by a random periodic structure
摘要：
本文发展了一种有效的数值方法，求解时谐平面波入射到理想反射随机周期结构上的逆散射问题。该方法是基于一种新的组合的Monte Carlo技术采样的概率空间，连续的方法相对于波数，和Karhunen-Lo $\grave{e}$ ve扩展的随机结构，重建关键的统计特性的轮廓未知的随机周期性结构从边界测量的散射场远离结构。数值结果证明了该方法的可靠性和有效性。
英文摘要：
This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane wave incident on a perfectly reflecting random periodic structure. The method is based on a novel combination of the Monte Carlo technique for sampling the probability space, a continuation method with respect to the wavenumber, and the Karhunen-Lo$\grave{e}$ve expansion of the random structure, which reconstructs key statistical properties of the profile for the unknown random periodic structure from boundary measurements of the scattered fields away from the structure. Numerical results are presented to demonstrate the reliability and efficiency of the proposed method.
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