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首页> 外文期刊>Applied Computational Electromagnetics Society journal >A Hybrid 3DMLUV-ACA Method for Scattering from a 3-D PEC Object above a 2-D Gaussian Dielectric Rough Surface
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A Hybrid 3DMLUV-ACA Method for Scattering from a 3-D PEC Object above a 2-D Gaussian Dielectric Rough Surface

机译：从3D PEC对象在2D高斯介电粗糙表面上方散射的混合3DMLUV-ACA方法

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摘要

The bistatic electromagnetic scattering from the composite model of a three-dimensional (3-D) arbitrarily shaped object located above a two -dimensional (2-D) Gaussian rough surface is analyzed in this work. The object suited above is assumed to be a perfect electric conductor (PEC) while the rough surface is dielectric. Firstly, the Poggio, Miller, Chang, Harrington, Wu and Tsai (PMCHWT) integral equations, electric field integral equation (EFIE) are implemented and extended on the rough surface and on the surface of the object respectively. Then, the method of moments (MoM) combined with Galerkin method is introduced to discretize the integral equations to the matrix form using RWG basis function. Due to the memory requirement and computational complexity of traditional MOM are O(N~2)( N is the number of unknowns), the rank based 3-D Multilevel UV method (3DMLUV) is employed to reduce memory and CPU time overhead. The 3DMLUV has been successfully applied in the scattering of PEC targets, however, when the object or rough surface become dielectric, the fast fill-in method proposed in Reference [19] often breaks down due to the oscillatory nature of the gradient of Green's function. Therefore, the ACA is applied to speed up the filling of the impedance entries required in 3DMLUV because of its algebraic nature. The efficiency and accuracy of the proposed method are demonstrated in a variety of scattering problems.
机译：在这项工作中，分析了位于二维（2-D）高斯粗糙表面上方的三维（3-D）任意形状物体的复合模型的双基地电磁散射。假定上面适合的对象是理想的电导体（PEC），而粗糙表面是电介质。首先，分别在物体的粗糙表面和物体表面上实现并扩展了Poggio，Miller，Chang，Harrington，Wu和Tsai（PMCHWT）积分方程和电场积分方程（EFIE）。然后，介绍了矩量法（MoM）与Galerkin方法相结合，以使用RWG基函数将积分方程离散为矩阵形式。由于传统MOM的内存需求和计算复杂度为O（N〜2）（N为未知数），因此采用基于等级的3-D多级UV方法（3DMLUV）来减少内存和CPU时间开销。 3DMLUV已成功应用于PEC目标的散射中，但是，当物体或粗糙表面成为电介质时，参考文献[19]中提出的快速填充方法由于格林函数梯度的振荡性质而经常失效。 。因此，由于其代数性质，ACA可用于加快3DMLUV中所需的阻抗条目的填充。在各种散射问题中证明了该方法的效率和准确性。

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