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Using Maxwell equations, we expand electromagnetic field components in spherical coordinate frame by using spherical vector wave function. According to the constitute relations of the topological insulator (TI), we modify transmittance fields and scattering fields. Using boundary conditions of topological insulator, we obtain the scattering electromagnetic fields. Numerical result show that when the time reversal symmetry is broken, the scattering cross sections are influenced by the topological magneto-electric polarizability.
[1] Moore J E 2010 Nature 464 194
[2] Qi X L, Zhang S C 2010 Phys. Today 63 33
[3] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[4] Zeng L W, Song R X 2012 Acta Phys. Sin. 61 117302 (in Chinese) [曾伦武, 宋润霞 2012 物理学报 61 117302]
[5] Li R, Wang J, Qi X L, Zhang S C 2010 Nature Phys. 6 284
[6] Lan Y P, Wan S L, Zhang S C 2011 Phys. Rev. B 83 205109
[7] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8] Chang M C, Yang M F 2009 Phys. Rev. B 80 113304
[9] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[10] Moore J E 2009 Nature Phys. 5 378
[11] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802
[12] Fu L, Kane C L, Mele E J 2007 Phys. Rev. Lett. 98 106803
[13] Moore J E, Balents L 2007 Phys. Rev. B 75 121306
[14] Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
[15] Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
[16] Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
[17] Grushin A G, Cortijo A 2011 Phys. Rev. Lett. 106 020403
[18] Grushin A G, Pablo R L, Cortijo A 2011 Phys. Rev. B 84 045119
[19] Asano S, Yamamoto G 1975 Appl. Opt. 14 29
[20] Hamid A K, Cooray F R 2008 IET Proc. Microwaves Antennas Propag. 2 686
[21] Han Y P, Wu Z S 2000 Acta Phys. Sin. 49 57 (in Chinese) [韩一平, 吴振森 2000 物理学报 49 57]
[22] Sun X M, Shen J, Wei P Y 2009 Acta Phys. Sin. 58 6222 (in Chinese) [孙贤明, 申晋, 魏佩瑜 2009 物理学报 58 6222]
[23] Sun X M, Wang H H, Shen J, Wang S J 2011 Acta Phys. Sin. 60 114216 (in Chinese) [孙贤明, 王海华, 申晋, 王淑君 2011 物理学报 60 114216]
[24] Li Y L, Huang J Y 2003 J. Electromagn Waves and Appl. 17 1745
[25] Li Y L, Huang J Y 2006 Chin. Phys. 15 281
[26] Li Y L, Huang J Y 2005 Chin. Phys. 14 646
-
[1] Moore J E 2010 Nature 464 194
[2] Qi X L, Zhang S C 2010 Phys. Today 63 33
[3] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[4] Zeng L W, Song R X 2012 Acta Phys. Sin. 61 117302 (in Chinese) [曾伦武, 宋润霞 2012 物理学报 61 117302]
[5] Li R, Wang J, Qi X L, Zhang S C 2010 Nature Phys. 6 284
[6] Lan Y P, Wan S L, Zhang S C 2011 Phys. Rev. B 83 205109
[7] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8] Chang M C, Yang M F 2009 Phys. Rev. B 80 113304
[9] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[10] Moore J E 2009 Nature Phys. 5 378
[11] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802
[12] Fu L, Kane C L, Mele E J 2007 Phys. Rev. Lett. 98 106803
[13] Moore J E, Balents L 2007 Phys. Rev. B 75 121306
[14] Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
[15] Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
[16] Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
[17] Grushin A G, Cortijo A 2011 Phys. Rev. Lett. 106 020403
[18] Grushin A G, Pablo R L, Cortijo A 2011 Phys. Rev. B 84 045119
[19] Asano S, Yamamoto G 1975 Appl. Opt. 14 29
[20] Hamid A K, Cooray F R 2008 IET Proc. Microwaves Antennas Propag. 2 686
[21] Han Y P, Wu Z S 2000 Acta Phys. Sin. 49 57 (in Chinese) [韩一平, 吴振森 2000 物理学报 49 57]
[22] Sun X M, Shen J, Wei P Y 2009 Acta Phys. Sin. 58 6222 (in Chinese) [孙贤明, 申晋, 魏佩瑜 2009 物理学报 58 6222]
[23] Sun X M, Wang H H, Shen J, Wang S J 2011 Acta Phys. Sin. 60 114216 (in Chinese) [孙贤明, 王海华, 申晋, 王淑君 2011 物理学报 60 114216]
[24] Li Y L, Huang J Y 2003 J. Electromagn Waves and Appl. 17 1745
[25] Li Y L, Huang J Y 2006 Chin. Phys. 15 281
[26] Li Y L, Huang J Y 2005 Chin. Phys. 14 646
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