J4 ›› 2012, Vol. 39 ›› Issue (2): 133-137.doi: 10.3969/j.issn.1001-2400.2012.02.022

• 研究论文 • 上一篇    下一篇

电大目标散射问题的预修正多层快速多极子分析

满明远1;雷振亚1;谢拥军2;王元源3   

  1. (1. 西安电子科技大学 天线与微波技术重点实验室,陕西 西安  710071;
    2. 北京航空航天大学 电磁兼容实验室,北京  100191;
    3. 西安电子工程研究所,陕西 西安  710100)
  • 收稿日期:2010-12-30 出版日期:2012-04-20 发布日期:2012-05-21
  • 通讯作者: 满明远
  • 作者简介:满明远(1984-),男,西安电子科技大学博士研究生,E-mail: man-ming-yuan@163.com.
  • 基金资助:

    国家自然科学基金资助项目(60771040);教育部新世纪优秀人才基金资助项目(NCE950T-04-0)

Analysis of the electrical large scattering problem using  the pre-corrected multilevel fast multipole algorithm

MAN Mingyuan1;LEI Zhenya1;XIE Yongjun2;WANG Yuanyuan3   

  1. (1. Science and Technology on Antenna and Microwave Lab., Xidian Univ., Xi'an  710071, China;
    2. Lab. of Electromagnetic Compatibility, Beihang Univ., Beijing  100191, China;
    3. Xi'an Electronic Eng. Research Inst.,  Xi'an  710100, China)
  • Received:2010-12-30 Online:2012-04-20 Published:2012-05-21
  • Contact: MAN Mingyuan

摘要:

为了加快使用多层快速多极子方法来分析散射问题的求解过程,提出了一种预修正方法.在使用物理光学方法时,物理光学电流可以等同于预修正电流,相当于生成一个稀疏阻抗矩阵来估算物理光学电流的表面电流.因为相对于未知电流来说,它和物理光学电流间的差别更接近于零矢量,所以使用两者的差矢量代替未知矢量来获得结论就需要很少的复杂步骤.数值结果表明,这种方法在不影响计算精度的前提下可以减少迭代次数并大大缩短求解时间.

关键词: 预修正方法, 多层快速多极子方法, 散射问题

Abstract:

In order to accelerate the solution procedure of scattering problems with the multilevel fast multipole algorithm, a pre-corrected method is presented. Using the Physical Optics method(PO), the PO currents could be obtained as pre-corrected currents. A rather sparse impedance matrix is generated to evaluate the PO surface current. Because the difference between unknown and PO currents is closer to the zero vectors than the unknown currents themselves, it does need less iteration steps using the difference as the unknown vector to get the solution. Numerical results demonstrate that the method could decrease the number of iterations and greatly reduce the time of solution with consistent precision.

Key words: pre-corrected method, multilevel fast multipole algorithm, scattering problem

中图分类号: 

  • TN823
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