基于自适应多层复源波束的多目标散射分析方法
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摘要
提出了一种分析多目标电磁散射问题的新方法。首先采用区域分解的方式进行空间划分,使得每个目标划分在一个子区中;随后在每个子区中使用基于矩量法(Mo M)的多层复源波束方法(MLCSB)进行阻抗矩阵和电流表面矢量的相乘计算,在计算的同时获得子区表面电流的复源波束(CSB)展开;最后,为了利用复源波束的方向性,提出了一种自适应复源波束转移方式,用来进行不同尺寸的子区间直接耦合。数值算例验证了该方法的准确性和处理复杂多目标电磁散射问题的能力。
A novel method for electromagnetic scattering of multiple objects is proposed in this work. The domain decomposition approach is firstly applied for spatial partition, and each object is divided as a separate sub-region. Then in each sub-region, the multilevel complex source beam method(MLCSB) based on the method of moment(Mo M) is applied to accelerate the multiplication of impendence matrix and surface current vector. The complex source beam(CSB) expansions of the surface current for the sub-region can be obtained along with the multiplication. Finally, to fully exploiting the directional property of CSBs, an adaptive translation process based on CSBs is proposed for the coupling between sub-regions with different size. Several numerical results are given to validate the proposed method for multiple objects.
A novel method for electromagnetic scattering of multiple objects is proposed in this work. The domain decomposition approach is firstly applied for spatial partition, and each object is divided as a separate sub-region. Then in each sub-region, the multilevel complex source beam method(MLCSB) based on the method of moment(Mo M) is applied to accelerate the multiplication of impendence matrix and surface current vector. The complex source beam(CSB) expansions of the surface current for the sub-region can be obtained along with the multiplication. Finally, to fully exploiting the directional property of CSBs, an adaptive translation process based on CSBs is proposed for the coupling between sub-regions with different size. Several numerical results are given to validate the proposed method for multiple objects.
引文
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[11]HANSEN T B,KAISER G.Huygens’principle for complex spheres[J].IEEE Transactions on Antennas and Propagation,2011,59(10):3835-3847.
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[14]吴川.基于高斯波束高频方法的分析和研究[D].成都:电子科技大学,2015.WU Chuan.Analysis and research on gaussian beam based high frequency method[D].Chengdu:University of Electronic Science and Technology of China,2015.
[15]FAN Z H,HU X,CHEN R S.Multilevel complex source beam method for electromagnetic scattering problems[J].IEEE Antennas and Wireless Propagation Letters,2015,14:843-846.
[2]LI Y,HU J,NIE Z.Solving scattering from multiple bodies of revolution by modal characteristic basis function method with sparse matrix technique[J].IEEE Antennas and Wireless Propagation Letters,2016,15:806-809.
[3]胡俊,聂在平,王军,等.三维电大目标散射求解的多层快速多极子方法[J].电波科学学报,2004(5):509-514.HU Jun,NIE Zai-ping,WANG Jun,et al.Multilevel fast multipole algorithm for solving scattering from 3-D electrically large object[J].Chinese Journal of Radio Science,2004(5):509-514.
[4]LI M,SU T,CHEN R.Equivalence principle algorithm with body of revolution equivalence surface for the modeling of large multiscale structures[J].IEEE Transactions on Antennas and Propagation,2016,64(5):1818-1828.
[5]SU T,DU L,CHEN R.Electromagnetic scattering for multiple PEC bodies of revolution using equivalence principle algorithm[J].IEEE Transactions on Antennas and Propagation,2014,62(5):2736-2744.
[6]李冰,马萌晨,雷明珠.粗糙海面与其上方多目标复合散射的混合算法[J].物理学报,2017(5):31-38.LI Bing,MA Meng-chen,LEI Ming-zhu.Hybrid algorithm for composite electromagnetic scattering from the multitarget on and above rough sea surface[J].Acta Physica Sinica,2017(5):31-38.
[7]芮锡,胡俊,聂在平.基于多区迭代的多导体目标散射分析[J].系统工程与电子技术,2008(11):2116-2118.RUI Xi,HU Jun,NIE Zai-ping.Electromagnetic scattering analysis of multipole conductor by multi-region iterative method[J].Systems Engineering and Electronics,2008(11):2116-2118.
[8]SU Ting,LI Meng-meng,CHEN Ru-shan.Domain decomposition scheme with equivalence spheres for the analysis of aircraft arrays in a large-scale range[J].Engineering Analysis with Boundary Elements,2016,73:42-49.
[9]崔志伟,韩一平,于美平.一种分析多目标散射问题的区域分解方法[J].电波科学学报,2014(4):606-609.CUI Zhi-wei,HAN Yi-ping,YU Mei-ping.A domain decomposition method for scattering by multiple objects[J].Chinese Journal of Radio Science,2014(4):606-609.
[10]TAP K.Complex source point beam expansions for some electromagnetic radiation and scattering problems[D].Ohio,USA:The Ohio State University,2007.
[11]HANSEN T B,KAISER G.Huygens’principle for complex spheres[J].IEEE Transactions on Antennas and Propagation,2011,59(10):3835-3847.
[12]MARTINI E,MACI S.Generation of complex source point expansions from radiation integrals[J].Progress in Electromagnetics Research,2015,152(3):17-31.
[13]TAP K,PATHAK P H,BURKHOLDER R J.Complex source beam-moment method procedure for accelerating numerical integral equation solutions of radiation and scattering problems[J].IEEE Transactions on Antennas and Propagation,2014,62(4):2052-2062.
[14]吴川.基于高斯波束高频方法的分析和研究[D].成都:电子科技大学,2015.WU Chuan.Analysis and research on gaussian beam based high frequency method[D].Chengdu:University of Electronic Science and Technology of China,2015.
[15]FAN Z H,HU X,CHEN R S.Multilevel complex source beam method for electromagnetic scattering problems[J].IEEE Antennas and Wireless Propagation Letters,2015,14:843-846.