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首页> 外文期刊>IEEE Transactions on Antennas and Propagation >On Unified Numerical Algorithm for 3-D Scattering From Dielectric and PEC Random Rough Surfaces
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On Unified Numerical Algorithm for 3-D Scattering From Dielectric and PEC Random Rough Surfaces

机译：介电和PEC随机粗糙表面3D散射的统一数值算法研究

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摘要

We present a unified fast scattering algorithm for dielectric random rough surfaces that asymptotically reduces to the perfect electric conductor (PEC) case when the loss tangent grows extremely large. The Coifman wavelets are employed to implement Galerkin's procedure in the method of moments (MoM). The Coiflets-based surface integral equations (IEs) consist of both the tangential and normal components of electromagnetic fields as unknowns. The inherited mathematical superiority, e.g., local multiresolution analysis and high regularity with Holder index 1.449 in smoothness, allows efficiently implementing both electric field IE and magnetic field IE. Due to the high-precision one-point quadrature, the Coiflets yield fast evaluations of the most off-diagonal entries, reducing the matrix fill effort from O(N2) to O(N). The orthogonality and Riesz basis of the Coiflets generate well-conditioned impedance matrix, with rapid convergence for the conjugate gradient solver. In addition, a semianalytical expression of the tapered-wave carried power is derived, which speeds up computations of the normalization factor of scattering coefficients. Numerical results demonstrate that the reduced PEC model does not suffer from ill-posed problems, namely, matrix condition numbers are kept small and solutions are stable under extremely large loss tangent, where normal components of H-field and tangential E-field have vanished. Compared with the previous publications and laboratory measurements, good agreement is observed.
机译：我们为介电随机粗糙表面提出了一种统一的快速散射算法，当损耗角正切变得非常大时，渐近渐近地减小为理想电导体（PEC）。使用Coifman小波以矩量法（MoM）实施Galerkin程序。基于Coiflets的表面积分方程（IE）由电磁场的切向分量和法向分量组成，它们都是未知数。继承的数学优势，例如局部多分辨率分析和平滑度高的Holder指数1.449的高规则性，可以有效地实现电场IE和磁场IE。由于具有高精度的单点正交，因此Coiflet可以对大多数非对角线条目进行快速评估，从而将矩阵填充工作量从O（N2）减少到O（N）。 Coiflet的正交性和Riesz基产生条件良好的阻抗矩阵，并且对于共轭梯度求解器具有快速收敛性。另外，推导了锥形波携带功率的半解析表达式，从而加快了散射系数归一化因子的计算速度。数值结果表明，简化后的PEC模型不存在不适定问题，即，在H场和切向E场的正态分量消失的情况下，在极大的损耗角正切下，矩阵条件数保持较小且解稳定。与以前的出版物和实验室测量结果相比，观察到了很好的一致性。

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