等效折射率为非-1时的亚波长成像

童元伟; 田双; 庄松林

doi:10.7498/aps.60.054201

摘要

本文采用硅柱子周期性排列构成六角结构光子晶体,用平面波展开方法和FDTD方法研究表明,此结构光子晶体存在等效折射率接近-1的频率区域.在等效折射率趋于-1但不等于-1时,此光子晶体平板结构超透镜能形成一个非近场的像.模拟还发现,此结构平板光子晶体等效折射率为非-1时,可以亚波长成像.

关键词:

负折射 /
光子晶体 /
亚波长 /
成像

This paper aims at designing a 2D photonic crystal (PC) with negative refractive index close to -1. Plane wave expansion method (PWEM) is used to obtain the band diagram and its equal-frequency surface (EFS). And the finite difference time domain (FDTD) simulation method is also used to analyze the equivalent refractive index of the PC. The results show the equivalent refractive index of the PC close to -1 within a certain frequency band. A super-lens is formed by this photonic crystal, which can form a non-near-field image. Moreover, the super-lens has the capability of sub-wavelength imaging with its effective index close to -1.

Keywords:

作者及机构信息

(1)上海理工大学光电学院,上海 200093; (2)上海理工大学理学院,上海 200093; (3)上海理工大学理学院,上海 200093;上海理工大学光电学院,上海 200093

基金项目: 国家重点基础研究发展计划(批准号:2005CB724304),国家自然科学基金(批准号:60777045)和校博士科研启动基金(批准号:1D-00-341-003)资助的课题.

Authors and contacts

(1)College of Optical and Electronics Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China; (2)College of Science,University of Shanghai for Science and Technology, Shanghai 200093, China; (3)College of Science,University of Shanghai for Science and Technology, Shanghai 200093, China; College of Optical and Electronics Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

参考文献

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[18]	Schonbrun E, Yamashita T, Park W, Summers C J 2006 Phys. Rev. B 73 195117
[19]	Berrier A, Mulot M, Swillo M, Qiu M, Thylén L, Talneau A, Anand S 2004 Phys. Rev. L. 93 073902
[20]	Parimi P V, Lu W T, Vodo P, Sridhar S 2003 Nature 426 27
[21]	Feng Z F, Zhang X D, Wang Y Q, Li Z Y, Cheng B Y, Zhang D Z 2005 Phys. Rev. L. 94 247402
[22]	Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[23]	Wang X, Ren Z F, Kempa K 2004 Opti. Expre. 12 2919
[24]	Gajic R, Meisels R, Kuchar F, Hinger K 2006 Phys. Rev. B 73
[25]	Feng S, Feng Zh F, Ren K, Ren Ch, Li Z Y, Cheng B Y, Zhang D Zh 2006 Chin. Phys. 15 552
[26]	Markos P, Soukoulis C M 2002 Phys. Rev. E 65 036622
[27]	Smith D R, Schurig D 2003 Phys. Rev. L 90 107401
[28]	Smith D R, Rye P M, Mock J J, Vier D C, Starr A F 2004 Phys. Rev. L. 93 137405
[29]	Houck A A, Brock J B, Chuang I L 2003 Phys. Rev. L. 90 137401
[30]	Parazzoli C G, Greegor R B, Li K, Koltenbah B E C, Tanielian M 2003 Phys. Rev. L. 90 107401
[31]	Su X P, Yu H Z, Chu N L, Huang X Y 1997 Chin. J Rare Meta. 21 469 (in Chinese) [苏小平、余怀之、褚乃林、黄炫云 1997 稀有金属 21 469]
[32]	Jai Singh 2006 Optical Properties of Condensed Matter and Applications(England: John Wily & Sons, Ltd)p1—25

施引文献

[1]	Veselago V G 1968 Sov. Phys. Usp. 10 509
[2]	165310
[3]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[4]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans Microwave Theory Tech. 47 2075
[5]	Li J S, Zhou L, Chan C T, Sheng P 2004 Phys. Rev. L. 90 083901
[6]	Chen L, He S L, Shen L F 2004 Phys. Rev. L. 92 107404
[7]	Tang S H, Zhu W R, Zhao X P 2009 Acta Phys. Sin. 58 3220 (in Chinese) [汤世伟、朱卫仁、赵晓鹏 2009 58 3220]
[8]	Wang T B, Liu N H 2007 Acta Phys. Sin. 10 5878 (in Chinese) [王同标、刘念华 2007 10 5878]
[9]	Kong L K, Zheng Z Q, Feng Z H, Li X Y, Jiang C H, Ming H 2009 Acta Phys. Sin. 58 7702 (in Chinese) [孔令凯、郑志 [9] Xu F, Bai Y, Qiao L J, Zhao H J, Zhou J 2009 Chin. Phys. B 18 1653
[10]	Tong Y W, Mao Y, Zhuang S L 2010 Acta Phys. Sin. 59 5553(in Chinese) [童元伟、毛宇、庄松林 2010 59 5553]
[11]	Zhang J L, Liu X, Li Y Y, Li M Y, Gu P F 2007 Acta Phys. Sin. 566075(in Chinese)[张锦龙、刘旭、厉以宇、李明宇、顾培夫 2007 56 6075]
[12]	Pendary J B, Holden A J, Stewartet W J, Youngs I 1996 Phys. Rev. L. 76 4773
[13]	Pendary J B 2000 Phys. Rev. L. 85 3966
[14]	Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. L. 84 4184
[15]	Cubukcu E, Aydin K, Ozbay E, Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. L. 91 207401
[16]	Luo C, Johnson S G, Joannopoulos J D, Pendry J B 2002 Phys. Rev. B 65 201104
[17]	Guven K, Aydin K, Alici K B, Soukoulis C M, Ozbay E 2004 Phys. Rev. B 70 205125
[18]	Schonbrun E, Yamashita T, Park W, Summers C J 2006 Phys. Rev. B 73 195117
[19]	Berrier A, Mulot M, Swillo M, Qiu M, Thylén L, Talneau A, Anand S 2004 Phys. Rev. L. 93 073902
[20]	Parimi P V, Lu W T, Vodo P, Sridhar S 2003 Nature 426 27
[21]	Feng Z F, Zhang X D, Wang Y Q, Li Z Y, Cheng B Y, Zhang D Z 2005 Phys. Rev. L. 94 247402
[22]	Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[23]	Wang X, Ren Z F, Kempa K 2004 Opti. Expre. 12 2919
[24]	Gajic R, Meisels R, Kuchar F, Hinger K 2006 Phys. Rev. B 73
[25]	Feng S, Feng Zh F, Ren K, Ren Ch, Li Z Y, Cheng B Y, Zhang D Zh 2006 Chin. Phys. 15 552
[26]	Markos P, Soukoulis C M 2002 Phys. Rev. E 65 036622
[27]	Smith D R, Schurig D 2003 Phys. Rev. L 90 107401
[28]	Smith D R, Rye P M, Mock J J, Vier D C, Starr A F 2004 Phys. Rev. L. 93 137405
[29]	Houck A A, Brock J B, Chuang I L 2003 Phys. Rev. L. 90 137401
[30]	Parazzoli C G, Greegor R B, Li K, Koltenbah B E C, Tanielian M 2003 Phys. Rev. L. 90 107401
[31]	Su X P, Yu H Z, Chu N L, Huang X Y 1997 Chin. J Rare Meta. 21 469 (in Chinese) [苏小平、余怀之、褚乃林、黄炫云 1997 稀有金属 21 469]
[32]	Jai Singh 2006 Optical Properties of Condensed Matter and Applications(England: John Wily & Sons, Ltd)p1—25

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