外磁场与温度对低温超导光子晶体低频禁带特性的影响

李春早; 刘少斌; 孔祥鲲; 卞博锐; 张学勇

doi:10.7498/aps.61.075203

摘要

文中用传输矩阵法(TMM)分析了TM波垂直入时,超导光子晶体的低频禁带特性,并讨论了外磁场与温度对禁带的影响.分析结果表明:超导光子晶体存在频率从0开始的低频禁带;当没有外磁场作用时,由于超导中正常态电子的影响,低频禁带的截止频率与温度无关;有外磁场作用时,温度才对截止频率具有可调性.外加恒定磁场时,低频禁带的截止频率随温度升高而减小;而在正常态电子的作用下,温度对处在超导态超导光子晶体禁带截止频率的调节范围相对忽略正常态电子情况下减小.恒温下,通过调节外磁场来控制带隙时,正常态电子的贡献很小可忽略不计;外磁场强度增大禁带截止频率减小.当超导体完全处于正常态时,低频禁带消失.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
南京航空航天大学电子信息工程学院, 南京 210016;

2.
东南大学毫米波国家重点实验室, 南京 210096;

3.
镇江船艇学院, 镇江 212003

基金项目: 国家自然科学基金(批准号: 60971122) 毫米波国家重点实验室开放基金(批准号: K201103) 航空科学基金(批准号: 2009ZA52008)资助的课题.

Authors and contacts

1.
College of Information Science & Technology, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;

2.
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China;

3.
Zhenjiang Watercraft College, Zhenjiang 212003, China

Funds: Project supported by the National Natural Science and Foundation of China (Grant No. 60971122), the Aviation Science Foundation (Grant No.2009ZA52008), and the Open Research Program in Chinas State Key Laboratory of Millimeter Waves (Grant No. K201103).

参考文献

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施引文献

[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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