A NUMERICAL METHOD FOR ELECTROMAGNETIC SCATTERING FROM DIELECTRIC ROUGH SURFACES BASED ON THE STOCHASTIC SECOND DEGREE METHOD
A NUMERICAL METHOD FOR ELECTROMAGNETIC SCATTERING FROM DIELECTRIC ROUGH SURFACES BASED ON THE STOCHASTIC SECOND DEGREE METHOD
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DOI：
10.2528/pier09092501
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发表时间：
2009
影响因子：
6.7
通讯作者：
Yang Du;B. Liu
中科院分区：
文献类型：
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作者：
Yang Du;B. Liu
在本文中，我们提出了一种迭代数值方法的基础上的随机二度（SSD）算法结合一种新的分裂的阻抗矩阵来分析电磁散射从1-D介质粗糙表面。嵌入矩阵矢量积的计算使用带状矩阵迭代法/规范网格（BMIA/CAG）和频谱加速（SA）技术。对于具有高斯谱的高斯表面，通过大量的数值模拟，观察到对于HH偏振，所提出的方法需要大约一半的迭代次数，所需的前向-后向方法与谱加速（FBM-SA）。当均方根高度较小时，该方法需要更多的运行时间;当均方根斜率不小于0.33且均方根高度不小于1：0 '（其中'为波长）时，该方法更有效。更重要的是，当均方根高度不小于2：0，均方根斜率不小于0.55时，除了一个极端情况外，它将发散情形转化为收敛情形，从而明显改善了FBM-SA的收敛性.对于VV极化，该方法在运行时间和迭代次数方面比FBM-SA的计算效率低。然而，就收敛特性而言，与HH极化类似，当均方根高度和均方根斜率较大时，所提出的方法优于FBM-SA。因此，对于这两种偏振，所提出的方法证明了其适用性时，处理真正粗糙的表面。
In this paper, we propose an iterative numerical approach based on the stochastic second degree (SSD) algorithm in combination with a new splitting of the impedance matrix to analyze electromagnetic scattering from 1-D dielectric rough surfaces. The embedded matrix-vector product is computed using the banded matrix iterative approach/canonical grid (BMIA/CAG) and the spectral acceleration (SA) technique. For Gaussian surface with Gaussian spectrum, through extensive numerical simulation, it is observed that for HH polarization, the proposed method requires roughly one half number of iterations as needed by the forward-backward method with spectral acceleration (FBM-SA). When the rms height is small, the proposed method takes more run time; when the rms slope is no less than 0.33 and rms height is no less than 1:0‚, where ‚ is the wavelength, the proposed method is more e-cient. More importantly, it obviously improves the convergence properties over FBM-SA by changing cases from divergent to convergent when rms height is no less than 2:0‚ and rms slope is no less than 0.55 except for one extreme case. For VV polarization, the proposed method is less computationally e-cient in terms of run time and number of iterations than FBM-SA. However, as far as convergence properties are considered, similar to HH polarization, the proposed method improves over FBM-SA when the rms height and rms slope are large. Hence for both polarizations, the proposed method demonstrates its suitability when dealing with truly rough surfaces.