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A novel technique for treating electrically thin dispersive layer with the finite difference time domain (FDTD) method is introduced. The proposed model is based on modifying the node update equations to account for the layer, where the electric and magnetic flux densities are locally averaged in the FDTD grid. Then, based on the characteristics that the complex permittivity and complex permeability of three kinds of general dispersive media model, i.e. Debye model, Lorentz model, and Drude model, may be described by rational polynomial fraction in jω, the shift operator method is then applied to obtain the recursive formulation for D and E, B and H available for FDTD computation is obtained. The model is validated with several numerical examples. The computed results illustrate the generality, memory and time step economy and the precision of presented scheme.
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Keywords:
- thin dispersive layer /
- modifying of the node /
- shift operator /
- finite difference tine domain
[1] ［1］Bao J S， Liu X， Qian Z P， Xiang Y 2008 Acta Phys. Sin. 57 5537（in Chinese）［鲍峻松、 刘贤、 钱祖平、 项阳 2008 57 5537］
[2] ［2］Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4574（in Chinese）［张玉强、 葛德彪 2009 58 4574］
[3] ［3］Fu J H, Liu X L, Men F Y 2008 Acta Phys. Sin. 57 4070（in Chinese）［傅佳辉、 刘心蕾、 孟繁义 2008 57 4070］
[4] ［4］Fen G Y, Yang H, Zhang D Y, Zhou S H, Zhu Q H 2008 Acta Phys. Sin. 57 5506（in Chinese）［冯国英、 杨浩、 张大勇、 周寿桓、 朱启华 2008 57 5506］
[5] ［5］Ding S J, Ge D B, Shen N 2010 Acta Phys. Sin. 59 943 （in Chinese）［丁世敬、 葛德彪、 申宁 2010 59 943］
[6] ［6］Liu H L, Zhang T Y, Zhu S L, Fan W H 2009 Acta Phys. Sin. 58 3658（in Chinese）［刘海亮、 张同意、 朱少岚、 范文慧 2009 58 3658］
[7] ［7］Chen Z Q, Hu X W, Lan C Z, Liu M H 2009 Chin. Phys. B 18 2412
[8] ［8］Liu D G, Liu S G, Zhou J 2007 Acta Phys. Sin. 56 6924（in Chinese）［刘大刚、 刘盛纲、 周俊 2007 56 6924］
[9] ［9］Yang L X, Ge D B, Wei B 2007 Prog. Electromag. Res.76 275
[10] ］Wang M Y, Xu J, Wu J 2008 Prog. Electromag. Res.81 253
[11] ］Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509（in Chinese）［杨利霞、 葛德彪、 魏兵 2007 56 4509］
[12] ］Mikko K K 2005 IEEE Trans. Antenn. Propag. 53 1174
[13] ］Mikko K K 2004 IEEE Trans. Electromag. Compat. 46 222
[14] ］Mikko K K 2003 IEEE Trans. Microwave Theor. Tech. Soc. 51 1774
[15] ］Giulio A, Antonio O 2007 IEEE Microwave Wireless Compon. Lett. 17 631
[16] ］Wei B, Ge D B, Wang F 2008 Acta Phys. Sin. 57 6290（in Chinese）［魏兵、 葛德彪、 王飞 2008 57 6290］
[17] ］Maloney J G, Smith G S 1992 IEEE Trans. Antenn. Propag. 40 323
[18] ］James G M, Smith G S 1993 IEEE Trans. Antenn. Propag. 41 690
[19] ］Panayiotis A T 1991 IEEE Trans. Antenn. Propag. 39 1338
[20] ］Ge D B, Yan Y B 2005 Fintie-Difference Time-Domain Method for Electromagnetic Waves(2nd Ed.) (Xi’an: Xidian University Press) （in Chinese）［葛德彪、 闫玉波 2005 电磁波时域有限差分方法 （第二版）（西安： 西安电子科技大学出版社）］
[21] ］Taflove A 2005 Advances in Computational Electromagnetics: The FDTD Method (2nd Ed.) (Norwood: Artech House)
[22] ］Wei B, Li X Y, Wang F, Ge D B 2008 Acta Phys. Sin. 58 6174（in Chinese）［魏兵、 李小勇、 王飞、 葛德彪 2009 58 6174］
[23] ］Wang F, Ge D B, Wei B 2008 Acta Phys. Sin. 58 6356（in Chinese）［王飞、 葛德彪、 魏兵 2009 58 6356］
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[1] ［1］Bao J S， Liu X， Qian Z P， Xiang Y 2008 Acta Phys. Sin. 57 5537（in Chinese）［鲍峻松、 刘贤、 钱祖平、 项阳 2008 57 5537］
[2] ［2］Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4574（in Chinese）［张玉强、 葛德彪 2009 58 4574］
[3] ［3］Fu J H, Liu X L, Men F Y 2008 Acta Phys. Sin. 57 4070（in Chinese）［傅佳辉、 刘心蕾、 孟繁义 2008 57 4070］
[4] ［4］Fen G Y, Yang H, Zhang D Y, Zhou S H, Zhu Q H 2008 Acta Phys. Sin. 57 5506（in Chinese）［冯国英、 杨浩、 张大勇、 周寿桓、 朱启华 2008 57 5506］
[5] ［5］Ding S J, Ge D B, Shen N 2010 Acta Phys. Sin. 59 943 （in Chinese）［丁世敬、 葛德彪、 申宁 2010 59 943］
[6] ［6］Liu H L, Zhang T Y, Zhu S L, Fan W H 2009 Acta Phys. Sin. 58 3658（in Chinese）［刘海亮、 张同意、 朱少岚、 范文慧 2009 58 3658］
[7] ［7］Chen Z Q, Hu X W, Lan C Z, Liu M H 2009 Chin. Phys. B 18 2412
[8] ［8］Liu D G, Liu S G, Zhou J 2007 Acta Phys. Sin. 56 6924（in Chinese）［刘大刚、 刘盛纲、 周俊 2007 56 6924］
[9] ［9］Yang L X, Ge D B, Wei B 2007 Prog. Electromag. Res.76 275
[10] ］Wang M Y, Xu J, Wu J 2008 Prog. Electromag. Res.81 253
[11] ］Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509（in Chinese）［杨利霞、 葛德彪、 魏兵 2007 56 4509］
[12] ］Mikko K K 2005 IEEE Trans. Antenn. Propag. 53 1174
[13] ］Mikko K K 2004 IEEE Trans. Electromag. Compat. 46 222
[14] ］Mikko K K 2003 IEEE Trans. Microwave Theor. Tech. Soc. 51 1774
[15] ］Giulio A, Antonio O 2007 IEEE Microwave Wireless Compon. Lett. 17 631
[16] ］Wei B, Ge D B, Wang F 2008 Acta Phys. Sin. 57 6290（in Chinese）［魏兵、 葛德彪、 王飞 2008 57 6290］
[17] ］Maloney J G, Smith G S 1992 IEEE Trans. Antenn. Propag. 40 323
[18] ］James G M, Smith G S 1993 IEEE Trans. Antenn. Propag. 41 690
[19] ］Panayiotis A T 1991 IEEE Trans. Antenn. Propag. 39 1338
[20] ］Ge D B, Yan Y B 2005 Fintie-Difference Time-Domain Method for Electromagnetic Waves(2nd Ed.) (Xi’an: Xidian University Press) （in Chinese）［葛德彪、 闫玉波 2005 电磁波时域有限差分方法 （第二版）（西安： 西安电子科技大学出版社）］
[21] ］Taflove A 2005 Advances in Computational Electromagnetics: The FDTD Method (2nd Ed.) (Norwood: Artech House)
[22] ］Wei B, Li X Y, Wang F, Ge D B 2008 Acta Phys. Sin. 58 6174（in Chinese）［魏兵、 李小勇、 王飞、 葛德彪 2009 58 6174］
[23] ］Wang F, Ge D B, Wei B 2008 Acta Phys. Sin. 58 6356（in Chinese）［王飞、 葛德彪、 魏兵 2009 58 6356］
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