论文标题

随机周期性结构的逆散射

Inverse scattering by a random periodic structure

论文作者

Bao, Gang, Lin, Yiwen, Xu, Xiang

论文摘要

本文开发了一种有效的数值方法,用于在完美反映随机周期性结构上的时间谐波平面波的反向散射问题。该方法基于蒙特卡洛技术的新型组合,用于取样概率空间,与波数的持续方法以及karhunen-lo $ \ $ \ grave {e} $扩展随机结构的扩展,该结构重建了与未知的随机周期性结构相比,该概况的关键统计属性与距离分散的结构相距不明显的周期性结构,从而相比散布了零星的结构。提出了数值结果以证明所提出方法的可靠性和效率。

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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