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