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A Further Improved Technique on the Stochastic Functional Approach for Randomly Rough Surface Scattering: Analytical-Numerical Wiener Analysis

机译:随机函数方法对随机粗糙表面散射的进一步改进技术:分析数值维纳分析

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This paper proposes a further improved technique on the stochastic functional approach for randomly rough surface scattering. The original improved technique has been established in the previous paper [Waves in Random and Complex Media, vol.19, no.2, pp.181-215, 2009] as a novel numerical-analytical method for a Wiener analysis. By deriving modified hierarchy equations based on the diagonal approximation solution of random wavefields for a TM plane wave incidence or even for a TE plane wave incidence under large roughness, large slope or low grazing incidence, such a further improved technique can provide a large reduction of required computational resources, in comparison with the original improved technique. This paper shows that numerical solutions satisfy the optical theorem with very good accuracy, by using small computational resources.
机译:本文针对随机粗糙表面散射的随机功能方法提出了进一步的改进技术。先前的论文[Waves in Random and Complex Media,第19卷,第2期,第181-215页,2009年]中确立了原始的改进技术,作为一种用于维纳分析的新型数值分析方法。通过在大粗糙度,大斜率或低掠入射情况下基于TM平面波入射甚至TE平面波入射的随机波场的对角线近似解推导出改进的层次方程,这样的进一步改进的技术可以大大减少与原始的改进技术相比,需要计算资源。本文表明,通过使用较小的计算资源,数值解可以很好地满足光学定理。

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