An Iteration-Free MoM Approach Based on Excitation Independent Characteristic Basis Functions for Solving Large Multiscale Electromagnetic Scattering Problems
An Iteration-Free MoM Approach Based on Excitation Independent Characteristic Basis Functions for Solving Large Multiscale Electromagnetic Scattering Problems
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DOI：
10.1109/tap.2008.919166
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发表时间：
2008-04
影响因子：
5.7
通讯作者：
E. Lucente;A. Monorchio;R. Mittra
中科院分区：
文献类型：
--
作者：
E. Lucente;A. Monorchio;R. Mittra
我们描述了一种求解电磁散射问题的矩量法中所产生的线性方程组的数值有效策略。这种被称为特征基函数法(CBFM)的新方法基于利用特征基函数(CBF)--定义在宏域(块)上的特殊函数--包括通过使用三角形或矩形面片离散化的相对大量的常规子域。这些基函数的使用显著减少了未知数的数量，并大大减少了MoM矩阵的大小；这反过来又使我们能够通过使用直接求解器来处理减少的矩阵，而不需要迭代。此外，本文还表明，CBF可以通过使用阻抗矩阵的稀疏表示来生成，从而降低了计算成本，并且与迭代技术相比，可以仅用很小的开销来处理多个激励。CBFM的另一个重要属性是它很容易并行化。文中给出了几个典型散射问题的数值结果，证明了CBFM的精度和时间效率。
We describe a numerically efficient strategy for solving a linear system of equations arising in the Method of Moments for solving electromagnetic scattering problems. This novel approach, termed as the characteristic basis function method (CBFM), is based on utilizing characteristic basis functions (CBFs)-special functions defined on macro domains (blocks)-that include a relatively large number of conventional sub-domains discretized by using triangular or rectangular patches. Use of these basis functions leads to a significant reduction in the number of unknowns, and results in a substantial size reduction of the MoM matrix; this, in turn, enables us to handle the reduced matrix by using a direct solver, without the need to iterate. In addition, the paper shows that the CBFs can be generated by using a sparse representation of the impedance matrix-resulting in lower computational cost-and that, in contrast to the iterative techniques, multiple excitations can be handled with only a small overhead. Another important attribute of the CBFM is that it is readily parallelized. Numerical results that demonstrate the accuracy and time efficiency of the CBFM for several representative scattering problems are included in the paper.