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等效折射率为非-1时的亚波长成像

童元伟 田双 庄松林

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等效折射率为非-1时的亚波长成像

童元伟, 田双, 庄松林

Sub-wavelength imaging of the two-dimensional photonic crystal with effective index close to -1

Tong Yuan-Wei, Tian Shuang, Zhuang Song-Lin
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  • 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.
    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.
    • 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.
    [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 物理学报 58 3220]

    [8]

    Wang T B, Liu N H 2007 Acta Phys. Sin. 10 5878 (in Chinese) [王同标、 刘念华 2007 物理学报 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 物理学报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 物理学报 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

  • [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 物理学报 58 3220]

    [8]

    Wang T B, Liu N H 2007 Acta Phys. Sin. 10 5878 (in Chinese) [王同标、 刘念华 2007 物理学报 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 物理学报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 物理学报 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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  • PDF下载量:  769
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-12-30
  • 修回日期:  2010-07-06
  • 刊出日期:  2011-05-15

等效折射率为非-1时的亚波长成像

  • 1. (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.

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.

English Abstract

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