Quantifying the Impact of Random Surface Perturbations on Reflective Gratings
Quantifying the Impact of Random Surface Perturbations on Reflective Gratings
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DOI：
10.1109/tap.2017.2780902
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发表时间：
2018-02
影响因子：
5.7
通讯作者：
Gerardo Silva-Oelker;Rubén Aylwin;C. Jerez-Hanckes;P. Fay
中科院分区：
文献类型：
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作者：
Gerardo Silva-Oelker;Rubén Aylwin;C. Jerez-Hanckes;P. Fay
我们提出了一种新的确定性方法，能够计算具有小表面随机扰动的完美电导体光栅散射的横向电极化场的统计矩。在一阶形状泰勒展开的基础上，利用常阶基矩法或Haar小波求解得到的电场积分方程。这允许稀疏张量近似，显著减少所需未知数的数量，并产生比密集近似更高的收敛率。此外，该方法的收敛速度比蒙特卡罗模拟快，计算量明显减少。通过实例验证了该方法的有效性，并将其应用于光栅效率的计算和预测中，验证了该方法的适用性。
We present a novel deterministic method capable of calculating statistical moments of transverse electric polarized fields scattered by perfect electric conductor gratings with small surface random perturbations. Based on a first-order shape Taylor expansion, the resulting electric field integral equations are solved via the method of moments with constant hierarchical basis or Haar wavelets. This allows for a sparse tensor approximation, significantly reducing the number of required unknowns and yielding a higher rate of convergence than a dense approximation. Moreover, the proposed approach converges faster than Monte Carlo simulations with significantly less computational effort. Validation of the proposed approach is performed for several cases, and realistic simulations applied to the calculation and prediction of grating efficiency reveal the applicability of the method.