A hybrid BEM/WTM approach for analysis of the EM scattering from large open-ended cavities
A hybrid BEM/WTM approach for analysis of the EM scattering from large open-ended cavities
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DOI：
10.1109/8.914263
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发表时间：
2001-02
影响因子：
5.7
通讯作者：
Z. Xiang;T. Chia
中科院分区：
文献类型：
--
作者：
Z. Xiang;T. Chia
提出了一种有效的混合边界元方法（BEM）和小波变换方法（WTM）来分析任意形状的三维（3-D）开放腔的电磁散射。这种混合技术通过磁场积分方程来表述原始空腔问题。利用边界元法建立原始复积分曲面与单位正方形之间的映射。 WTM用于降低矩矩阵的密度。由于必须求解表面积分方程，因此 WTM 需要二维 (2-D) 小波基来实现数值计算。先前的二维小波快速迭代算法已得到扩展，可以通过两个一维 (1-D) 常规多分辨率分析的张量积有效地构造各种二维小波基函数。与传统的矩方法不同，所提出的混合技术总是可以获得稀疏矩矩阵方程，并且可以通过稀疏求解器有效地求解。随着腔体数值离散化水平尺度的增加，可以获得更大的压缩率，这使得混合 BEM/WTM 技术能够有效地解决具有复杂终端的大型开放腔体的散射问题。数值结果证明了所提出方法的优点。
An effective hybrid boundary-element method (BEM) and wavelet-transform method (WTM) is proposed to analyze electromagnetic scattering from three-dimensional (3-D) open-ended cavities with arbitrary shapes. This hybrid technique formulates the original cavity problems by a magnetic field integral equation. The BEM is employed to establish the mapping between the original complex integral surface and the unit square. The WTM is used to reduce the density of the moment matrix. Since a surface integral equation has to be solved, the WTM requires a two-dimensional (2-D) wavelet basis to implement the numerical computation. The previous fast iterative algorithm for 2-D wavelets has been extended for efficiently constructing various 2-D wavelet basis functions by a tensorial product from two one-dimensional (1-D) regular multiresolution analyses. Unlike the conventional method of moments, the proposed hybrid technique can always obtain sparse moment matrix equations, which can be efficiently solved by sparse solvers. As the level scales for numerical discretization of cavities increase, larger compression rates can be obtained, which makes it possible for the hybrid BEM/WTM technique to efficiently solve scattering from large open-ended cavities with complex terminations. Numerical results are presented to demonstrate the merits of the proposed method.