Investigation of the stability of time-domain magnetic field integral equations based on marching on-in time algorithm

Li Jin-Yan; Nie Zai-Ping; Zhao Yan-Wen

doi:10.7498/aps.62.090206

Abstract

A sufficient stability condition for time-domain magnetic field integral equations (TDMFIE) based on marching on-in time (MOT) algorithm is obtained through theoretical derivation using the norm. If the condition is satisfied, it can be ensured that the computational results will always be stable in late-time no matter what kind of incident wave is. Moreover, a factor expressing the recursive relationship of the currents is obtained, which can represent the constringency of the currents. Finally, the sufficient stability condition is validated by numerical results. Meanwhile, the numerical results also verify that the factor can be used to represent the stability of the currents.

Keywords:

time-domain magnetic field integral equations (TDMFIE) /
marching on-in time (MOT) /
late-time instability

Authors and contacts

1.
School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61171046, 60971033, 60931004, 61231001), and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No. IRT1113).

References

[1]	Shi Y, Jin J M 2011 IEEE Trans. Antennas Propag. 59 969
[2]	Qin S T, Guo L X, Dai S Y, Gong S X 2011 Acta Phys. Sin. 60 074217 (in Chinese) [秦三团, 郭立新, 代少玉, 龚书喜 2011 物理学报 60 074217]
[3]	Shi Y F, Xia M Y, Chen R S, Michielssen E, Lu M Y 2011 IEEE Trans. Antennas Propag. 59 574
[4]	Wei B, He Q, Li J, Ge D B, Guo L X 2011 Acta Phys. Sin. 60 104102 (in Chinese) [魏兵, 何琼, 李杰, 葛德彪, 郭立新 2011 物理学报 60 104102]
[5]	Shanker B, Ergin A A, Aygün K, Michielssen E 2000 IEEE Trans. Antennas Propag. 48 510
[6]	Shanker B, Ergin A A, Lu M Y, Michielssen E 2003 IEEE Trans. Antennas Propag. 51 628
[7]	Zhao Q G, Zhao Y W, Bi H Y, Nie Z P 2008 Acta Electronica Sin. 36 1135 (in Chinese) [赵庆广, 赵延文, 毕海燕, 聂在平 2008 电子学报 36 1135]
[8]	Daniel S W, Greeshma P, Chen N W, Shanker B, Michielssen E 2004 IEEE Trans. Antennas Propag. 52 283
[9]	Li J Y, Zhao Y W, Nie Z P 2010 Electromagnetics 30 448

Cited By

[1]	Shi Y, Jin J M 2011 IEEE Trans. Antennas Propag. 59 969
[2]	Qin S T, Guo L X, Dai S Y, Gong S X 2011 Acta Phys. Sin. 60 074217 (in Chinese) [秦三团, 郭立新, 代少玉, 龚书喜 2011 物理学报 60 074217]
[3]	Shi Y F, Xia M Y, Chen R S, Michielssen E, Lu M Y 2011 IEEE Trans. Antennas Propag. 59 574
[4]	Wei B, He Q, Li J, Ge D B, Guo L X 2011 Acta Phys. Sin. 60 104102 (in Chinese) [魏兵, 何琼, 李杰, 葛德彪, 郭立新 2011 物理学报 60 104102]
[5]	Shanker B, Ergin A A, Aygün K, Michielssen E 2000 IEEE Trans. Antennas Propag. 48 510
[6]	Shanker B, Ergin A A, Lu M Y, Michielssen E 2003 IEEE Trans. Antennas Propag. 51 628
[7]	Zhao Q G, Zhao Y W, Bi H Y, Nie Z P 2008 Acta Electronica Sin. 36 1135 (in Chinese) [赵庆广, 赵延文, 毕海燕, 聂在平 2008 电子学报 36 1135]
[8]	Daniel S W, Greeshma P, Chen N W, Shanker B, Michielssen E 2004 IEEE Trans. Antennas Propag. 52 283
[9]	Li J Y, Zhao Y W, Nie Z P 2010 Electromagnetics 30 448

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