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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.
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Keywords:
- negative refraction /
- photonic crystals /
- sub-wavelength /
- imaging
[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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[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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