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Superconducting photonic crystals are artificial periodic structures composed of superconductors and dielectric structures. In this paper, the transfer matrix method(TMM) is used to study the transmittance of one-dimensional photonic crystals consisting of cryogenic superconductor and lossless dielectric for TM wave. It is shown that a stop band staring from zero frequency can be apparently observed, whose cutoff frequency is adjusted by varying the temperature and the magnetic field. However, because of the contribution of the normal conducting electrons (NCEs) , taking no account of external magnetic field, the width of the low frequency photonic band gap (PBG) is no longer influenced by the temperature of the superconductor. The cutoff frequency of PBG adjusted by the temperature and the external magnetic field with the contribution of NCEs are compared with those obtained by neglecting them. However, when superconductors are in a normal state, the low frequency PBG of photonic crystals disappears.
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[4] [5] Bauer J, John S 2007 Appl. Phys. Lett. 90 261111
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[14] [15] Guo B 2009 Phys. Plasmas. 16 04350
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[18] [19] Ma L, Zhang H F, Liu S B 2008 Acta Phys. Sin. 57 5089 (in Chinese) [马力, 章海锋, 刘少斌,2008, ,{\bf 57 5089]
[20] Zhang H F, Ma L, Liu S B 2009 Acta Phys. Sin. 58 1071 (in Chinese) [章海锋, 马力, 刘少斌,2009, ,{\bf58 1071]
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[29] [30] Thapa K, Srivastava S, Tiwari S 2010 Journal of Superconductivity and Novel Magnetism 23 517
[31] [32] Hsu H T, Kuo F Y, Wu C J 2010 J. Appl. Phys. 107 053912
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[36] Qin L M, Yang Z Q, Lan F, Li D Z 2010 Chin. Phys. B 19 034210
[37] [38] [39] Wang J, Yuan C W, Tang F Q 2005 Chin. Phys. 14 1581
[40] Quan X L, Yang X B 2009 Chin. Phys. B 18 5313
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[43] [44] [45] Takeda H, Yoshino K 2003 Phys. Rev. B 67 245109
[46] Matsuda Y, Gaifullin M B, Kumagai K, Kadowaki K, Mochiku T 1995 Phys. Rev. Lett. 75 4512
[47] [48] [49] Raymond Ooi C H, Au Yeung T C, Kam C H, Lim T K 2000 Phys.Rev. B 61 5920
[50] Tachiki M, Koyama T, Takahashi S 1994 Phys. Rev. B 50 7065
[51] [52] [53] Zhang H Y 2009 Superconductor Physics 3rd edn (Heifei: University of Science and Technology of China Press) p9, 21 (in Chinese)[张裕恒 2009 超导物理 (第三版)(合肥: 中国科技大学出版社) 第9, 21页]
[54] Kong X K, Liu S B, Zhang H F, Li C Z 2010 Phys. Plasmas. 17 103506
[55] [56] [57] Fang Y T, Ouyang Z B 2009 J. Opt. A: Pure, Appl. Opt. 11 045103
[58] Wang H, Li Y P 2001 Acta Phys. Sin. 50 2173 (in Chinese)[王辉, 李永平 2001 50 2173]
[59] [60] Kautz R L 1978 J. Appl. Phys. 49 308
[61] [62] [63] Li C Z, Liu S B, Kong X K, Bian B R, Zhang X Y 2011 Applied Optics 50 2370
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[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] [3] John S 1987 Phys. Rev. Lett. 58 2486
[4] [5] Bauer J, John S 2007 Appl. Phys. Lett. 90 261111
[6] Plihal M, Maradudin A A 1991 Phys. Rev. B 44 8565
[7] [8] Xu C, Hu X, Li Y Z, Liu X H, Fu R T, Zi J 2003 Phys. Rev. B 68193201
[9] [10] Moreno E, Erni D, Hafner C 2002 Phys. Rev. B 65 155120
[11] [12] [13] Yoshino K, Shimoda Y, Kawagishi Y, Nakayama K, Ozaki M 1999 Appl. Phys. Lett. 75 932
[14] [15] Guo B 2009 Phys. Plasmas. 16 04350
[16] [17] 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]
[18] [19] Ma L, Zhang H F, Liu S B 2008 Acta Phys. Sin. 57 5089 (in Chinese) [马力, 章海锋, 刘少斌,2008, ,{\bf 57 5089]
[20] Zhang H F, Ma L, Liu S B 2009 Acta Phys. Sin. 58 1071 (in Chinese) [章海锋, 马力, 刘少斌,2009, ,{\bf58 1071]
[21] [22] Aly A H, Ryu S W, Hsu H T, Wu C J 2009 Mater. Chem. Phys. 113 382
[23] [24] [25] Lee H M, Wu J C 2010 J. Appl. Phys. 107 09E149
[26] [27] Ooi C H R, Kam C H 2010 J. Opt. Soc. Am. B 27 458
[28] Wang S Y, Liu S B, Li L W 2010 Chin. Phys. B 19 084101
[29] [30] Thapa K, Srivastava S, Tiwari S 2010 Journal of Superconductivity and Novel Magnetism 23 517
[31] [32] Hsu H T, Kuo F Y, Wu C J 2010 J. Appl. Phys. 107 053912
[33] [34] [35] Wu C J, Chen M S, Yang T J 2005 Physica C: Superconductivity 432 133
[36] Qin L M, Yang Z Q, Lan F, Li D Z 2010 Chin. Phys. B 19 034210
[37] [38] [39] Wang J, Yuan C W, Tang F Q 2005 Chin. Phys. 14 1581
[40] Quan X L, Yang X B 2009 Chin. Phys. B 18 5313
[41] [42] Tinkham M 1996 Introduction to Superconductivity 2nd edn (New York: McGraw-Hill)
[43] [44] [45] Takeda H, Yoshino K 2003 Phys. Rev. B 67 245109
[46] Matsuda Y, Gaifullin M B, Kumagai K, Kadowaki K, Mochiku T 1995 Phys. Rev. Lett. 75 4512
[47] [48] [49] Raymond Ooi C H, Au Yeung T C, Kam C H, Lim T K 2000 Phys.Rev. B 61 5920
[50] Tachiki M, Koyama T, Takahashi S 1994 Phys. Rev. B 50 7065
[51] [52] [53] Zhang H Y 2009 Superconductor Physics 3rd edn (Heifei: University of Science and Technology of China Press) p9, 21 (in Chinese)[张裕恒 2009 超导物理 (第三版)(合肥: 中国科技大学出版社) 第9, 21页]
[54] Kong X K, Liu S B, Zhang H F, Li C Z 2010 Phys. Plasmas. 17 103506
[55] [56] [57] Fang Y T, Ouyang Z B 2009 J. Opt. A: Pure, Appl. Opt. 11 045103
[58] Wang H, Li Y P 2001 Acta Phys. Sin. 50 2173 (in Chinese)[王辉, 李永平 2001 50 2173]
[59] [60] Kautz R L 1978 J. Appl. Phys. 49 308
[61] [62] [63] Li C Z, Liu S B, Kong X K, Bian B R, Zhang X Y 2011 Applied Optics 50 2370
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