电磁散射研究中的自适应修正特征基函数法

韩国栋; 顾长青

doi:10.3724/SP.J.1146.2007.00540

电磁散射研究中的自适应修正特征基函数法

doi: 10.3724/SP.J.1146.2007.00540

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出版历程
- 收稿日期: 2007-04-09
- 修回日期: 2007-09-24
- 刊出日期: 2008-10-19

Adaptively Modified Characteristic Basis Function Method for Electromagnetic Scattering Study

摘要

摘要: 该文提出了一种新的特征基函数法自适应修正特征基函数法(Adaptively Modified Characteristic Basis Function Method, AMCBFM)。首先在分块子域上构建初次基函数，并计算出基函数的系数以及各块的初次电流；而后用块间互阻抗、各块的初次电流以及初次基函数系数的模来构造反映块间耦合的二次基函数，计算出其系数以及更为精确的电流，高次基函数的求解依此类推，应用一种新的精度判断方法方便地控制电流误差以停止计算更高次的基函数。讨论了不同模型时，不同特征基函数法的精度收敛性能，AMCBFM在基函数阶数较低时收敛性能优于已有的方法。还分析了在尽可能提高计算速度时分块数目与未知数个数的关系。数值结果表明，AMCBFM具有有效降低计算矩阵的尺寸，精度高，计算速度快，误差易控制等优点。
- 电磁散射 /
- RCS /
- 自适应修正特征基函数法 /
- 误差控制
Abstract: In this paper, an Adaptively Modified Characteristic Basis Function Method (AMCBFM) based on partitioning object geometry into blocks is proposed. Firstly, the primary CBFs arising from the self-interaction within the self-block are generated, then the primary current vector is elicited; subsequently, the second CBFs which account for the mutual coupling effects from the other distinct domains expect the own ones by using the inter-impedances, primary current vectors and the modulus of the primary CBFs coefficients, is gotten. And a more accurate current vector is obtained. The higher CBFs can be also derived with the same way. The difference of the currents convergence speeds between the new CBFM and conventional CBFMs under diverse models via a new convenient method of controlling the result precision is discussed, and the results show that the new CBFM is better than those of conventional ones. Finally, the relationship between the block number and the unknowns under the condition of improving calculating speed is analyzed. The numerical results indicate that the new method has a series of merits: reducing the size of the matrix equation into a small level, the satisfying precision, high calculating speed and simple error control condition.
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[1] Rao S M, Wilton D R, and Glisson A W. Electromagneticscattering by surfaces of arbitrary shape[J].IEEE Trans. onAntennas Propagation.1982, 30(5):409-418 [2] Song J M and Chew W C. Fast multipole method solution ofthree dimensional integral equation[C]. Antennas andPropagation Society International Symposium, IEEE,Orlando, 1995, (3): 1528-1531. [3] Song J M, Lu C C, and Chew W C. Multilevel fast multipolealgorithm for electromagnetic scattering by large complexobjects [J].IEEE Trans. on Antennas Propagat.1997, 45(10):1488-1493 [4] Jakobus U and Landstorfer F M. Improvement of thePO-MoM hybrid method by accounting for effects ofperfectly conducting wedges [J]. IEEE Trans. on AntennasPropagation, 1995, 43(2): 162-169. [5] Hurst M. An efficient approach to moment method analysisof large antenna arrays[C]. IEEE AP-S/URSI Int Symp,URSI Digest, Salt Lake City, Utah, 2000: 170-173. [6] Suter E and Mosig J. A sub-domain multilevel approach forMoM analysis pf large planar antennas [J].Microwave andOptical Technology Letters.2000, 26(4):270-277 [7] Prakash V V S and Mittra R. Characteristic basis functionmethod: A new technique for efficient solution of method ofmoments matrix equations [J].Microwave and OpticalTechnology Letter.2003, 36(2):95-100 [8] Kwon S J, Du K, and Mittra R. Characteristic basis functionmethod a numerically efficient technique for analyzingmicrowave and RF circuits [J].Microwave and OpticalTechnology Letters.2003, 38(6):444-448 [9] Yeo J and Mittra R. Numerically efficient analysis ofmicrostrip antennas using the Characteristic Basis Functionmethod (CBFM), Antennas and Propagation SocietyInternational Symposium, 2003, IEEE, Columbus, Ohio, 2003,(4): 85-88. [10] Ma J F and Mittra R. Analysis of scattering characteristics ofelectrically large objects using a CBFM-based procedure,Antennas and Propagation Society International Symposium,IEEE, Washington D.C., USA, 2005(3a): 105-108. [11] 聂在平, 徐利明. 电磁散射数值分析中的特征基函数方法[J].电波科学学报增刊, 2004, 19: 45-49. [12] 孙玉发, 张奕, 徐善驾. 二维多导体柱电磁散射特性的特征基函数法分析[J]. 电波科学学报, 2006, 26(2): 229-232. [13] Sun Y F, Chan C H, and Mittra R, et al.. Characteristic basisfunction method for solving large problems arising in densemedium scattering. Antennas and Propagation SocietyInternational Symposium, 2003, IEEE, Columbus, Ohio, 2003(2): 1068-1071. [14] Mittra R. A look at some challenging problems incomputational electromagnetics[J].IEEE, Antennas andPropagation Magazine.2004, 46(5):18-32 [15] Mittra R, Ma J F, Lucente E, and Monorhio A. CBMOM-AnIteration Free MoM Approach For Solving Large MultiscaleEM Radiation and Scattering Problems, Antennas andPropagation Society International Symposium, IEEE,Washington D.C., USA, 2005, (2): 2-5.

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