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The permeability tensor of saturated magnetized ferrite in frequency domain in the laboratory coordinate system is obtained by using the transformation matrix between the principal and laboratory system. The constitutive relation in time domain, which is a kind of second order differential equation, is derived by employing the transformation from the frequency domain jω to time domain ∂/∂t and solved by utilizing the Newmark algorithm. Consequently, a Newmark finite-difference time-domain method is proposed to deal with the problem of electromagnetic scattering by ferrite which is subjected to an external magnetic field in an arbitrary direction. The electromagnetic scattering by a magnetized ferrite layer and a sphere is simulated, and the numerical results demonstrate the validity and feasibility of the proposed method.
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Keywords:
- Newmark algorithm /
- saturated magnetized ferrite /
- electromagnetic scattering /
- finite-difference time-domain method
[1] Zhou H M, Chen Q, Deng J H 2014 Chin. Phys. B 23 047502
[2] Wang W J, Zang C G, Jiao Q J 2013 Chin. Phys. B 22 128101
[3] Zhang H W, Li J, Su H, Zhou T C, Long Y, Zheng Z L 2013 Chin. Phys. B 22 117504
[4] Yasir Rafique M, Pan L Q, Javed Q, Zubair Iqbal M, Qiu H M, Hassan Farooq M, Guo Z G, Tanveer M 2013 Chin. Phys. B 22 107101
[5] Luebbers R J, Hunsberger F, Kunz K S 1991 IEEETrans. Antenn. Propag. 39 29
[6] Kelley D F, Lubbers R J 1996 IEEE Trans. Antenn. Propag. 44 792
[7] Chen Q, Katsurai M, Aoyagi P H 1998 IEEE Trans. Antenn. Propag. 46 1739
[8] Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 778 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 778]
[9] Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 277
[10] Nickisch L J, Franke P M 1992 IEEE Trans. Antenn. Propag. Mag. 34 33
[11] Takayama Y, Klaus W 2002 IEEE Microw. Wireless Compon. Lett. 12 102
[12] Sullivan D M 1992 IEEE Trans. Antenn. Propag. 40 1223
[13] Sullivan D M 1995 IEEE Trans. Antenn. Propag. 43 676
[14] Sullivan D M 1996 IEEE Trans. Antenn. Propag. 44 28
[15] Ge D B, Wu Y L, Zhu X Q 2003 Chin. J. Radio Sci. 18 359 (in Chinese) [葛德彪, 吴跃丽, 朱湘琴 2003 电波科学学报 18 359]
[16] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 物理学报 58 4573]
[17] Yang L X, Ge D B 2006 Acta Phys. Sin. 55 1751 (in Chinese) [杨利霞, 葛德彪 2006 物理学报 55 1751]
[18] Yang L X, Ge D B, Wang G, Yan S 2007 Acta Phys. Sin. 56 6937 (in Chinese) [杨利霞, 葛德彪, 王刚, 阎述 2007 物理学报 56 6937]
[19] Yang L X, Ge D B, Zhao Y H, Wang G, Yan S 2008 Acta Phys. Sin. 57 2936 (in Chinese) [杨利霞, 葛德彪, 赵跃华, 王刚, 阎述 2008 物理学报 57 2936]
[20] Wang F, Ge D B, Wei B 2009 Acta Phys. Sin. 58 6356 (in Chinese) [王飞, 葛德彪, 魏兵 2009 物理学报 58 6356]
[21] Wang F, Wei B 2013 Acta Phys. Sin. 62 084106 (in Chinese) [王飞, 魏兵 2013 物理学报 62 084106]
[22] Newmark N M 1959 J. Eng. Mech. Div. 85 67
[23] Zienkiewich O C 1977 Earthquate Eng. Struct. Dyn. 5 413
[24] Ge D B, Yan Y B 2011 Finite-Difference Time-Domain Method for Electromagnetic Waves (3rd Ed.) (Xi'an:Xidian University Press) p11 (in Chinese) [葛德彪, 闫玉波 2011 电磁波时域有限差分法 (第三版) (西安: 西安电子科技大学出版社) 第11页]
[25] Bi D X 1985 Electromagnetic Field Theory (Beijing: Publishing House of Electronics Industry) (in Chinese) [毕德显 1985 电磁场理论 (北京: 电子工业出版社)]
[26] Kong J A 2000 Electromagnetic Wave Theory (Cambridge: EMW Publishing)
[27] Schuster J, Lubbers R 1996 IEEE Antennas and Propagation Society International Symposium 3 1648
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[1] Zhou H M, Chen Q, Deng J H 2014 Chin. Phys. B 23 047502
[2] Wang W J, Zang C G, Jiao Q J 2013 Chin. Phys. B 22 128101
[3] Zhang H W, Li J, Su H, Zhou T C, Long Y, Zheng Z L 2013 Chin. Phys. B 22 117504
[4] Yasir Rafique M, Pan L Q, Javed Q, Zubair Iqbal M, Qiu H M, Hassan Farooq M, Guo Z G, Tanveer M 2013 Chin. Phys. B 22 107101
[5] Luebbers R J, Hunsberger F, Kunz K S 1991 IEEETrans. Antenn. Propag. 39 29
[6] Kelley D F, Lubbers R J 1996 IEEE Trans. Antenn. Propag. 44 792
[7] Chen Q, Katsurai M, Aoyagi P H 1998 IEEE Trans. Antenn. Propag. 46 1739
[8] Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 778 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 778]
[9] Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 277
[10] Nickisch L J, Franke P M 1992 IEEE Trans. Antenn. Propag. Mag. 34 33
[11] Takayama Y, Klaus W 2002 IEEE Microw. Wireless Compon. Lett. 12 102
[12] Sullivan D M 1992 IEEE Trans. Antenn. Propag. 40 1223
[13] Sullivan D M 1995 IEEE Trans. Antenn. Propag. 43 676
[14] Sullivan D M 1996 IEEE Trans. Antenn. Propag. 44 28
[15] Ge D B, Wu Y L, Zhu X Q 2003 Chin. J. Radio Sci. 18 359 (in Chinese) [葛德彪, 吴跃丽, 朱湘琴 2003 电波科学学报 18 359]
[16] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 物理学报 58 4573]
[17] Yang L X, Ge D B 2006 Acta Phys. Sin. 55 1751 (in Chinese) [杨利霞, 葛德彪 2006 物理学报 55 1751]
[18] Yang L X, Ge D B, Wang G, Yan S 2007 Acta Phys. Sin. 56 6937 (in Chinese) [杨利霞, 葛德彪, 王刚, 阎述 2007 物理学报 56 6937]
[19] Yang L X, Ge D B, Zhao Y H, Wang G, Yan S 2008 Acta Phys. Sin. 57 2936 (in Chinese) [杨利霞, 葛德彪, 赵跃华, 王刚, 阎述 2008 物理学报 57 2936]
[20] Wang F, Ge D B, Wei B 2009 Acta Phys. Sin. 58 6356 (in Chinese) [王飞, 葛德彪, 魏兵 2009 物理学报 58 6356]
[21] Wang F, Wei B 2013 Acta Phys. Sin. 62 084106 (in Chinese) [王飞, 魏兵 2013 物理学报 62 084106]
[22] Newmark N M 1959 J. Eng. Mech. Div. 85 67
[23] Zienkiewich O C 1977 Earthquate Eng. Struct. Dyn. 5 413
[24] Ge D B, Yan Y B 2011 Finite-Difference Time-Domain Method for Electromagnetic Waves (3rd Ed.) (Xi'an:Xidian University Press) p11 (in Chinese) [葛德彪, 闫玉波 2011 电磁波时域有限差分法 (第三版) (西安: 西安电子科技大学出版社) 第11页]
[25] Bi D X 1985 Electromagnetic Field Theory (Beijing: Publishing House of Electronics Industry) (in Chinese) [毕德显 1985 电磁场理论 (北京: 电子工业出版社)]
[26] Kong J A 2000 Electromagnetic Wave Theory (Cambridge: EMW Publishing)
[27] Schuster J, Lubbers R 1996 IEEE Antennas and Propagation Society International Symposium 3 1648
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