A Hybrid MLFMM–UTD Method for the Solution of Very Large 2-D Electromagnetic Problems
A Hybrid MLFMM–UTD Method for the Solution of Very Large 2-D Electromagnetic Problems
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DOI：
10.1109/tap.2015.2501812
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发表时间：
2016
影响因子：
5.7
通讯作者：
G. Karagounis;D. De Zutter;D. Vande Ginste
中科院分区：
文献类型：
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作者：
G. Karagounis;D. De Zutter;D. Vande Ginste
将多层快速多极子方法(MLFMM)与均匀绕射理论(UTD)相结合，模拟了包含超大型散射体的二维(2-D)散射问题。通过使用基于射线的方法避免了对非常大的散射体的离散化。反射采用像源理论，而对于衍射，引入了一种新的MLFMM变换矩阵。平移矩阵元是基于一种技术导出的，该技术将UTD的使用推广到任意源配置，并且有效地描述了空间扩展区域上的场。(9(N)对于相关结构，例如存在楔形的大型天线阵列，实现了计算时间和内存要求的缩放。通过几个算例对该理论进行了验证，结果表明该理论对非视距(NLOS)散射问题具有较高的精度。
The multilevel fast multipole method (MLFMM) is combined with the uniform theory of diffraction (UTD) to model two-dimensional (2-D) scattering problems including very large scatterers. The discretization of the very large scatterers is avoided by using ray-based methods. Reflections are accounted for by image source theory, while for diffraction a new MLFMM translation matrix is introduced. The translation matrix elements are derived based on a technique that generalizes the use of UTD for arbitrary source configurations and that efficiently describes the field over extended regions of space. (9(n) scaling of the computational time and memory requirements is achieved for relevant structures, such as large antenna arrays in the presence of a wedge. The theory is validated by means of several illustrative numerical examples and is shown to remain accurate for non-line-of-sight (NLoS) scattering problems.