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In this paper, a new method of using the electric field numerical weight to process the inhomogeneous cells is proposed, which is to resolve the problems such as high errors and parallel direction excluded in the existing finite-difference time-domain method. Instead of deriving average dielectric constant, the new method weights the electric field strength, which is the true solving variables, according to the mean value theorem, and then the length of the integral path is multiplied by the weight. In the new method both the discontinuous effects of inhomogeneous Ampere cell and the ones of inhomogeneous Faraday cell are taken into account, so it is accurate, easy to implement, versatile, and applicable to any of the various positional relationships between the dielectric interface and the electric field strength variable. A numerical model of dielectric filled circular waveguide is used for the numerical calculation and simulation, in which the deviations of the characteristic roots in two-dimensional TE mode solved by different methods from the theoretical ones are compared, and the anisotropies of different methods are also compared. The numerical result shows that the characteristic roots solved by the presented method are closer to the theoretical ones and the anisotropy caused by the proposing method is lower, which proves that this method is more efficient to process the inhomogeneous cells.
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Keywords:
- finite-difference time-domain /
- electric field numerical weighting method /
- two-dimensional TE mode /
- inhomogeneous cell
[1] Yee K S 1966 IEEE Trans. Antenna. Propagat. 14 302
[2] Liu S B, Zhu C X, Yuan N C 2005 Acta Phys. Sin. 54 2804 (in Chinese) [刘少斌, 朱传喜, 袁乃昌 2005 54 2804]
[3] Liu S B, Yuan N C, Xu L J 2005 Acta Phys. Sin. 54 4789 (in Chinese) [刘少斌, 袁乃昌, 徐利军 2005 54 4789]
[4] Wang G, Wen J H, Han X Y, Zhao H G 2003 Acta Phys. Sin. 52 1943 (in Chinese) [王刚, 温激鸿, 韩小云, 赵宏刚 2003 52 1943]
[5] Shibayama J, Muraki M, Takahashi R, Yamauchi J, Nakano H 2006 IEEE/OSA J. Lightw. Tech. 24 2465
[6] Zhang X Q, Wang J H, Li Z 2011 Acta Phys. Sin. 60 051301 (in Chinese) [张雪芹, 王均宏, 李铮 2011 60 051301]
[7] 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]
[8] Zhuang F, Xiao S S, He J P, He S L 2002 Acta Phys. Sin. 51 2167 (in Chinese) [庄飞, 肖三水, 何江平, 何赛灵 2002 51 2167]
[9] Chu Q X, Ding H 2005 Preceedings of the IEEE Antennas and Propagation Society International Symposium Washington, USA, July 3-8, 2005 p205
[10] H Ding, Chu Q X 2005 Proceedings of Asia-Pacific Microwave Conference 2005 Suzhou, China, December 4-7, 2005
[11] H Ding, Chu Q X 2008 Proceedings of Asia-Pacific Microwave Conference 2008 Macau, China, December 16-20, 2008 p1
[12] Taflove A, Umashankar K R, Beker B, Harfoush F, Yee K S 1988 IEEE Trans. Antenna. Propagat. 36 247
[13] Jurgens T G, Taflove A, Umashankar K, Moore T G 1992 IEEE Trans. Antenna. Propagat. 40 357
[14] Fan G X, Liu Q H 2000 IEEE Trans. Antenna. Propagat. 8 637
[15] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 58 4573]
[16] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 8243 (in Chinese) [张玉强, 葛德彪 2009 58 8243]
[17] Ramadan O 2011 IEEE Microw. Wireless Comp. Lett. 21 513
[18] Kaneda N, Houshmand B, Itoh T 1997 IEEE Trans. Microw. Theory Tech. 45 1645
[19] Dey S, Mittra R 1999 IEEE Trans. Microw. Theory Tech. 47 1737
[20] Yu W, Mittra R 2001 IEEE Microw. Guided Wave Lett. 11 25
[21] Fujii M, Hoefer W J R 2001 IEEE Microw. Wireless Comp. Lett. 11 22
[22] Fujii M, Hoefer W J R 2001 IEEE J. Quantum Electron. 37 1015
[23] Fujii M, Lukashevich D, Sakagami I, Russer P 2003 IEEE Microw. Wireless Comp. Lett. 13 469
[24] Georgakopoulos S V, Birtcher C R, Balanis C A, Renaut R A 2003 IEEE Trans. Electromagn. Compat. 45 293
[25] Zygiridis T T, Tsiboukis T D 2004 IEEE Trans. Microw. Theory Tech. 52 1321
[26] Wang J, Yin W Y, Liu P G, Liu Q H 2010 IEEE Trans. Antenna. Propagat. 58 2946
[27] Liu D C, Chang H C 2012 IEEE Trans. Antenna. Propagat. 60 5259
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[1] Yee K S 1966 IEEE Trans. Antenna. Propagat. 14 302
[2] Liu S B, Zhu C X, Yuan N C 2005 Acta Phys. Sin. 54 2804 (in Chinese) [刘少斌, 朱传喜, 袁乃昌 2005 54 2804]
[3] Liu S B, Yuan N C, Xu L J 2005 Acta Phys. Sin. 54 4789 (in Chinese) [刘少斌, 袁乃昌, 徐利军 2005 54 4789]
[4] Wang G, Wen J H, Han X Y, Zhao H G 2003 Acta Phys. Sin. 52 1943 (in Chinese) [王刚, 温激鸿, 韩小云, 赵宏刚 2003 52 1943]
[5] Shibayama J, Muraki M, Takahashi R, Yamauchi J, Nakano H 2006 IEEE/OSA J. Lightw. Tech. 24 2465
[6] Zhang X Q, Wang J H, Li Z 2011 Acta Phys. Sin. 60 051301 (in Chinese) [张雪芹, 王均宏, 李铮 2011 60 051301]
[7] 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]
[8] Zhuang F, Xiao S S, He J P, He S L 2002 Acta Phys. Sin. 51 2167 (in Chinese) [庄飞, 肖三水, 何江平, 何赛灵 2002 51 2167]
[9] Chu Q X, Ding H 2005 Preceedings of the IEEE Antennas and Propagation Society International Symposium Washington, USA, July 3-8, 2005 p205
[10] H Ding, Chu Q X 2005 Proceedings of Asia-Pacific Microwave Conference 2005 Suzhou, China, December 4-7, 2005
[11] H Ding, Chu Q X 2008 Proceedings of Asia-Pacific Microwave Conference 2008 Macau, China, December 16-20, 2008 p1
[12] Taflove A, Umashankar K R, Beker B, Harfoush F, Yee K S 1988 IEEE Trans. Antenna. Propagat. 36 247
[13] Jurgens T G, Taflove A, Umashankar K, Moore T G 1992 IEEE Trans. Antenna. Propagat. 40 357
[14] Fan G X, Liu Q H 2000 IEEE Trans. Antenna. Propagat. 8 637
[15] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 58 4573]
[16] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 8243 (in Chinese) [张玉强, 葛德彪 2009 58 8243]
[17] Ramadan O 2011 IEEE Microw. Wireless Comp. Lett. 21 513
[18] Kaneda N, Houshmand B, Itoh T 1997 IEEE Trans. Microw. Theory Tech. 45 1645
[19] Dey S, Mittra R 1999 IEEE Trans. Microw. Theory Tech. 47 1737
[20] Yu W, Mittra R 2001 IEEE Microw. Guided Wave Lett. 11 25
[21] Fujii M, Hoefer W J R 2001 IEEE Microw. Wireless Comp. Lett. 11 22
[22] Fujii M, Hoefer W J R 2001 IEEE J. Quantum Electron. 37 1015
[23] Fujii M, Lukashevich D, Sakagami I, Russer P 2003 IEEE Microw. Wireless Comp. Lett. 13 469
[24] Georgakopoulos S V, Birtcher C R, Balanis C A, Renaut R A 2003 IEEE Trans. Electromagn. Compat. 45 293
[25] Zygiridis T T, Tsiboukis T D 2004 IEEE Trans. Microw. Theory Tech. 52 1321
[26] Wang J, Yin W Y, Liu P G, Liu Q H 2010 IEEE Trans. Antenna. Propagat. 58 2946
[27] Liu D C, Chang H C 2012 IEEE Trans. Antenna. Propagat. 60 5259
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