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In this paper, a 2D photonic crystal (PC) with negative refractive index at multi-band is designed. Plane wave expansion method (PWEM) is used to obtain the band diagram and the 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 from both methods show that the equivalent refractive index of the PC at specifical band is negative.
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Keywords:
- photonic crystal /
- left-handed media /
- negative refractive index /
- multi-bands
[1] Veselago V G 1968 J. Sov. Phys. Usp. 10 509
[2] Shelby R A, Smith D R, Schultz S 2001 Science 292 779
[3] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[4] Smith D R, Padilla W J, Vier D C, Nemat-Naasser, Schults S C 2000 Phys. Rev. Lett. 84 4184
[5] Sudhakaran S, Hao Y, Parini C G 2004 Micr. and Opti. Tech. Lett. 41 258
[6] Sudhakaran S, Hao Y, Parini C G 2005 Micr. and Opti. Tech. Lett. 45 465
[7] Parazzoli C G, Greegor R B, Li K, Koltenbah B E C, Tanielian M 2003 Phys. Rev. Lett. 90 107401
[8] Markos P, Soukoulis C M 2001 Phys. Rev. B 65 033401
[9] Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1998 Phys. Rev. B 58 10096(R)
[10] Notomi M 2000 Phys. Rev. B 62 10696
[11] Gralak B, Enoch S, Tayeb G 2000 J. Opt. Soc. Am. A 17 1012
[12] Luo C, Ibanescu M, Johnson S G, Joannopoulos J D 2003 Science 299 368
[13] Read E J, Soljacic M, Joannopoulos J D 2003 Phys. Rev. Lett. 91 133901
[14] Foteinopoulou S, Economou E N, Soukoulis C M 2003 Phys. Rev. Lett. 90 107402
[15] Zhang X 2004 Phys. Rev. B 70 195110
[16] Parimi P V, Lu W T, Vodo P, Sokoloff J, Derov J S, Sridhar S 2004 Phys. Rev. Lett. 92 127401
[17] Luo C, Johnson S G, Joannopoulos J D, Pendry J B 2002 Phys. Rev. B 65 201104(R)
[18] Li Z Y, Lin L L 2003 Phys. Rev. B 68 245110
[19] Zhang X 2004 Phys. Rev. B 70 205102
[20] Cubukcu E, Aydin K, Ozbay E, Foteinopoulou S, Soukoulis C M 2003 Nature (London) 423 604
[21] 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 物理学报 58 3220]
[22] Wang T B, Liu N H 2007 Acta Phys. Sin. 56 5878 (in Chinese) [王同标、刘念华 2007 物理学报 56 5878]
[23] 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、郑志强、冯卓宏、李小燕、姜翠华、明 海 2009 物理学报 58 7702]
[24] Xu F, Bai Y, Qiao L J, Zhao H J, Zhou J 2009 Chin. Phys. B 18 1653
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[1] Veselago V G 1968 J. Sov. Phys. Usp. 10 509
[2] Shelby R A, Smith D R, Schultz S 2001 Science 292 779
[3] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[4] Smith D R, Padilla W J, Vier D C, Nemat-Naasser, Schults S C 2000 Phys. Rev. Lett. 84 4184
[5] Sudhakaran S, Hao Y, Parini C G 2004 Micr. and Opti. Tech. Lett. 41 258
[6] Sudhakaran S, Hao Y, Parini C G 2005 Micr. and Opti. Tech. Lett. 45 465
[7] Parazzoli C G, Greegor R B, Li K, Koltenbah B E C, Tanielian M 2003 Phys. Rev. Lett. 90 107401
[8] Markos P, Soukoulis C M 2001 Phys. Rev. B 65 033401
[9] Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1998 Phys. Rev. B 58 10096(R)
[10] Notomi M 2000 Phys. Rev. B 62 10696
[11] Gralak B, Enoch S, Tayeb G 2000 J. Opt. Soc. Am. A 17 1012
[12] Luo C, Ibanescu M, Johnson S G, Joannopoulos J D 2003 Science 299 368
[13] Read E J, Soljacic M, Joannopoulos J D 2003 Phys. Rev. Lett. 91 133901
[14] Foteinopoulou S, Economou E N, Soukoulis C M 2003 Phys. Rev. Lett. 90 107402
[15] Zhang X 2004 Phys. Rev. B 70 195110
[16] Parimi P V, Lu W T, Vodo P, Sokoloff J, Derov J S, Sridhar S 2004 Phys. Rev. Lett. 92 127401
[17] Luo C, Johnson S G, Joannopoulos J D, Pendry J B 2002 Phys. Rev. B 65 201104(R)
[18] Li Z Y, Lin L L 2003 Phys. Rev. B 68 245110
[19] Zhang X 2004 Phys. Rev. B 70 205102
[20] Cubukcu E, Aydin K, Ozbay E, Foteinopoulou S, Soukoulis C M 2003 Nature (London) 423 604
[21] 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 物理学报 58 3220]
[22] Wang T B, Liu N H 2007 Acta Phys. Sin. 56 5878 (in Chinese) [王同标、刘念华 2007 物理学报 56 5878]
[23] 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、郑志强、冯卓宏、李小燕、姜翠华、明 海 2009 物理学报 58 7702]
[24] Xu F, Bai Y, Qiao L J, Zhao H J, Zhou J 2009 Chin. Phys. B 18 1653
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