全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
-  2018 

适用于低频问题的多层复源点方法
A Multilevel Complex Source Point method for low-frequency problems

DOI: 10.3969/j.issn.1001-0548.2018.06.001

Keywords: 增量电场积分方程,复源点,快速算法,低频问题

Full-Text   Cite this paper   Add to My Lib

Abstract:

该文将多层复源点(MLCSP)方法用于求解理想导体目标的增量电场积分方程(AEFIE)。AEFIE将待求问题的电流和电荷进行分离,使用合适的频率归一化因子来平衡电场积分方程(EFIE)的磁矢量位和电标量位,使之成为解决低频问题的一种有效手段。为了降低AEFIE-矩量法(MoM)的复杂度,使用复源点(CSP)分别展开AEFIE的磁矢量位和电标量位,并构造了用于MLCSP的聚合矩阵以加速其矩矢相乘。数值算例表明,在求解低频电磁散射问题及电路问题时,该方法计算结果准确,其计算量和计算机内存需求可降低至O(N)量级。

References

[1]  RAO S, WILTON D, GLISSON A. Electromagnetic scattering by surfaces of arbitrary shape[J]. IEEE Transactions on Antennas and Propagation, 1982, 30(3):409-418.
[2]  QIAN Z G, CHEW W C. A quantitative study on the low frequency breakdown of EFIE[J]. Microwave and Optical Technology Letters, 2008, 50(5):1159-1162.
[3]  ANDRIULLI F P. Loop-star and loop-tree decompositions:analysis and efficient algorithms[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(5):2347-2356.
[4]  STEPHANSON M B, LEE J F. Preconditioned electric field integral equation using Calderón identities and dual loop/star basis functions[J]. IEEE Transactions on Antennas and Propagation, 2009, 57(4):1274-1279.
[5]  YAN S, JIN J M, NIE Z. EFIE analysis of low-frequency problems with loop-star decomposition and Calderón multiplicative preconditioner[J]. IEEE Transactions on Antennas and Propagation, 2010, 58(3):857-867.
[6]  CHEN Y P, JIANG L, QIAN Z G. An augmented electric field integral equation for layered medium Green's function[J]. IEEE Transactions on Antennas and Propagation, 2011, 59(3):960-968.
[7]  ZHAO J S, CHEW W C. Applying LF-MLFMA to solve complex PEC structures[J]. Microwave and Optical Technology Letters, 2001, 28(3):155-160.
[8]  郑宇腾, 赵延文, 蔡强明, 等. 笛卡尔展开算法高效求解增广电场积分方程[J]. 电波科学学报, 2014(6):1009-1015. ZHENG Yu-teng, ZHAO Yan-wen, CAI Qian-ming. Efficient solution of augmented electric field integral equation using accelerated cartesian expansion algorithm[J]. Chinese Journal of Radio Science, 2014(6):1009-1015.
[9]  ZHENG Y T, ZHAO Y W, NIE Z P. Full-wave fast solver for circuit devices modeling[J]. Applied Computational Electromagnetics Society Journal, 2015, 30(10):1115-1121.
[10]  DING D Z, SHI Y, JIANG Z N. Augmented EFIE with adaptive cross approximation algorithm for analysis of electromagnetic problems[J]. International Journal of Antennas and Propagation, 2013:e487276.
[11]  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.
[12]  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.
[13]  王镇雷. 中低频的电场积分方程矩量法研究[D]. 南京:东南大学, 2016. WANG Zhen-lei. Moment method for electric field integral equation in middle and low frequency[D]. Nanjing:Southeast University, 2016.
[14]  BOGDANOV F, ROMAN J, ANNA G. Application of loop-star and loop-tree basis functions to MoM solution of radiation and scattering problems on complicated surface and wire geometries from low to microwave frequencies[C]//2012 6th European Conference on Antennas and Propagation (EUCAP).[S.l.]:IEEE, 2012:985-989.
[15]  TASKINEN M, YLA-OIJALA P. Current and charge integral equation formulation[J]. IEEE Transactions on Antennas and Propagation, 2006, 54(1):58-67.
[16]  JIA M M, SUN S, LI Y. Acceleration of perturbation-based electric field integral equations using fast fourier transform[J]. IEEE Transactions on Antennas and Propagation, 2016, 64(10):4559-4564.
[17]  HARRINGTON R F, HARRINGTON J L. Field computation by moment methods[M]. New York, USA:Oxford University Press, 1996.
[18]  DAS A, GOPE D. Modified SPIE formulation for low-frequencystability of electric field integral equation[C]//Applied Electromagnetics Conference(AEMC) 2015.[S.l.]:IEEE, 2015:1-2.
[19]  QIAN Z G, CHEW W C. Fast full-wave surface integral equation solver for multiscale structure modeling[J]. IEEE Transactions on Antennas and Propagation, 2009, 57(11):3594-3601.
[20]  HANSEN T B, KAISER G. Huygens' principle for complex spheres[J]. IEEE Transactions on Antennas and Propagation, 2011, 59(10):3835-3847.
[21]  TAP K, PATHAK P H, BURKHOLDER R J. Exact complex source point beam expansions for electromagnetic fields[J]. IEEE Transactions on Antennas and Propagation, 2011, 59(9):3379-3390.
[22]  ERGüL ?, GüREL L. The multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems[M]. New Jersey, USA:John Wiley & Sons, 2014.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133