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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing. >Application of Iterative Techniques for Electromagnetic Scattering From Dielectric Random and Reentrant Rough Surfaces
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Application of Iterative Techniques for Electromagnetic Scattering From Dielectric Random and Reentrant Rough Surfaces

机译：迭代技术在介电随机和折返粗糙表面电磁散射中的应用

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摘要

Stationary [e.g., forward-backward method (FBM)] and nonstationary [e.g., conjugate gradient squared, quasi-minimal residual, and biconjugate gradient stabilized (Bi-CGSTAB)] iterative techniques are applied to the solution of electromagnetic wave scattering from dielectric random rough surfaces with arbitrary complex dielectric constants. The convergence issues as well as the efficiency and accuracy of all the approaches considered in this paper are investigated by comparing obtained scattering (in the form of normalized radar cross section) and surface field values with the numerically exact solution, computed by employing the conventional method of moments. It has been observed that similar to perfectly and imperfectly conducting rough surface cases, the stationary iterative FBM converges faster when applied to geometries yielding best conditioned systems but exhibits convergence difficulties for general geometries due to its inherit limitations. However, nonstationary techniques are, in general, more robust when applied to arbitrarily general dielectric random rough surfaces, which yield more ill-conditioned systems. Therefore, they might prove to be more suitable for general scattering problems. Besides, as opposed to the perfectly and imperfectly conducting rough surface cases, the Bi-CGSTAB method and FBM show two interesting behaviors for dielectric rough surface profiles: 1) FBM generally converges for reentrant surfaces when the vertical polarization is considered and 2) the Bi-CGSTAB method has a peculiar convergence problem for horizontal polarization. Unlike the other nonstationary iterative techniques used in this paper, where a Jacobi preconditioner is used, convergent results are obtained by using a block-diagonal preconditioner
机译：平稳[例如，向前-向后方法（FBM）]和非平稳[例如，共轭梯度平方，准最小残差和双共轭梯度稳定（Bi-CGSTAB）]迭代技术应用于电介质随机散射的电磁波散射解决方案具有任意复数介电常数的粗糙表面。通过将获得的散射（以标准化雷达截面的形式）和表面场值与采用常规方法计算的精确数值解进行比较，研究了本文考虑的所有方法的收敛性问题以及效率和准确性。的时刻。已经观察到，类似于完美地和不完美地进行粗糙的表面情况，当应用于产生最佳条件系统的几何形状时，固定的迭代FBM收敛更快，但是由于其继承限制而对一般几何形状表现出收敛困难。但是，非平稳技术通常在应用于任意普通的介电随机粗糙表面时会更健壮，这会导致条件更差的系统。因此，它们可能被证明更适合于一般的散射问题。此外，与完美和不完美的粗糙表面情况相反，Bi-CGSTAB方法和FBM对于介电粗糙表面轮廓显示出两个有趣的行为：1）当考虑垂直极化时，FBM通常会在凹角表面收敛； 2）Bi -CGSTAB方法对于水平极化有一个特殊的收敛问题。与本文使用的其他非平稳迭代技术不同，在该技术中使用Jacobi预处理器，使用块对角线预处理器获得收敛结果

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