电大尺寸辐射问题的预修正多层快速多极子分析

doi:10.3969/j.issn.1001-2400.2010.03.021

J4 ›› 2010, Vol. 37 ›› Issue (3): 502-506.doi: 10.3969/j.issn.1001-2400.2010.03.021

电大尺寸辐射问题的预修正多层快速多极子分析

王元源;谢拥军;王鹏

(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)

收稿日期:2009-03-05 出版日期:2010-06-20 发布日期:2010-07-23
作者简介:王元源(1983-)，男，西安电子科技大学博士研究生，E-mail: wylpforever@163.com．
基金资助:
国家自然基金资助项目(60771040)

Analysis of the electrical large radiation problem with the pre-corrected multilevel fast multipole algorithm

WANG Yuan-yuan;XIE Yong-jun;WANG Peng

(Key Lab. of Antennas and Microwave Technology, Xidian Univ., Xi'an 710071， China)

Received:2009-03-05 Online:2010-06-20 Published:2010-07-23

摘要/Abstract

摘要：

为了提高多层快速多极子方法分析辐射问题的求解速度，提出了一种预修正的迭代求解方法．该方法在激励点附近的局部区域生成一个小的阻抗矩阵，以该阻抗矩阵求解出一个近似反映激励点附近区域特性的局部表面电流．待求电流与该局部电流之差与待求电流本身相比更加接近于初始零向量，因此将差值作为迭代过程中的未知向量进行求解，只需要较少的迭代步数即可收敛．对数值结果的分析表明，在保证计算精度不变的前提下，与传统多层快速多极子算法相比，该方法可以减少40%~50％的求解辐射问题时间．

关键词: 预修正方法, 多层快速多极子, 辐射问题

Abstract:

For increasing the solution speed of the radiation problem using the multilevel fast multipole algorithm, a novel pre-corrected method is presented. It generates a small impedance matrix in the local region near the feed point and evaluates the local surface current, which could approximately describe the characteristic near the excited point. The difference between the unknown and the local current approaches the zero vector more than the unknown current itself. So it needs fewer iterations by using the difference as the unknown vector to get the solution. With consistent precision, the analysis of the numerical results shows that this method could decrease the number of iterations and reduce the time of solution by 40%~50%.

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

王元源;谢拥军;王鹏. 电大尺寸辐射问题的预修正多层快速多极子分析[J]. J4, 2010, 37(3): 502-506.

WANG Yuan-yuan;XIE Yong-jun;WANG Peng. Analysis of the electrical large radiation problem with the pre-corrected multilevel fast multipole algorithm[J]. J4, 2010, 37(3): 502-506.

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电大尺寸辐射问题的预修正多层快速多极子分析

Analysis of the electrical large radiation problem with the pre-corrected multilevel fast multipole algorithm

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