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用于相位突变界面的广义的反射定律和折射定律

孙彦彦 韩璐 史晓玉 王兆娜 刘大禾

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用于相位突变界面的广义的反射定律和折射定律

孙彦彦, 韩璐, 史晓玉, 王兆娜, 刘大禾

General laws of reflection and refraction for metasurface with phase discontinuity

Sun Yan-Yan, Han Lu, Shi Xiao-Yu, Wang Zhao-Na, Liu Da-He
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  • 考虑到位于两物质界面上的Metasurface对光线传播行为的影响, 从费马原理和边界条件连续两种角度出发, 推导了可用于相位突变界面的广义反射与折射定律. 该定律在界面对光波的相位改变量为零的情况下, 回归为通常的反射定律和折射定律. 利用广义的折射定律和反射定律讨论了介质折射率、界面上的相位梯度等因素对光传播行为的影响, 发现利用广义的折射定律和反射定律很容易实现反常反射和反常折射行为, 并给出了出现反常反射和反常折射的条件, 以此为基础可以实现对光波的随意控制. 依据广义的折射定律和反射定律分析了一维相位掩模板对光场传播行为的影响.
    The general reflection and refraction laws at the metasurface with an abrupt phase shift are derived by two methods based on Fermat's principle and the boundary conditions of continuity, it is found that one or two critical angles for total internal reflection exist not only when a light beam impinges on the optical sparse material from the optical denser material, but also when a light beam spreads from the optical sparse material to the optical denser material. Anomalous reflection and refraction, such as, negative reflection and negative refraction may occur when a light beam passes through the metasurface, and the conditions of their occurrence are given. Finally, a kind of metasurface based on one-dimensional phase mask is designed to control the light propagation.
    • 基金项目: 国家自然科学基金(批准号: 11104016, 11074024, 61275130)和高等学校博士学科点专项科研基金(批准号: 20100003120009)资助的课题.
    • Funds: Project supported by National Natural Science Foundation of China (Grant Nos. 11104016, 11074024, 61275130) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100003120009).
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    [19]

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    [20]

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  • [1]

    Zhou J 2005 J. Sichuan University (Natural Science Edition) 42 15 (in Chinese) [周济2005 四川大学学报(自然科学版) 42 15]

    [2]

    Smith D R, Pendry J B, Wiltshire M C K 2004 Science 305 788

    [3]

    Enkrich C, Wegener M, Linden S, Burger S, Zschiedrich L, Schmidt F, Zhou J F, Koschny Th, Soukoulis C M 2005 Phys. Rev. Lett. 95 203901

    [4]

    Boltasseva A, Atwater H A 2011 Science 331 290

    [5]

    Gong B Y, Zhou X, Zhao X P 2011 Acta Phys. Sin. 60 044101 (in Chinese) [龚伯仪, 周欣, 赵晓鹏 2011 物理学报 60 044101]

    [6]

    Tang S W, 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]

    [7]

    Su Y Y, Gong B Y, Zhao X P 2012 Acta Phys. Sin. 61 084102 (in Chinese) [苏研研, 龚伯仪, 赵晓鹏 2012 物理学报 61 084102]

    [8]

    Zhao Y, Xiang J K, Li S , Zhao X P 2011 Acta Phys. Sin. 60 054211 (in Chinese) [赵延, 相建凯, 李飒, 赵晓鹏 2011 物理学报 60 054211]

    [9]

    Wang J F, Qu S B, Xu Z, Zhang J Q, Ma H, Yang Y M, Gu C 2009 Acta Phys. Sin. 58 3224 (in Chinese) [王甲富, 屈绍波, 徐卓, 张介秋, 马华, 杨一鸣, 顾超 2009物理学报 583224]

    [10]

    Lee J W, Seo M A, Sohn J Y, Ahn Y H, Kim D S 2005 Opt. Express 13 10681

    [11]

    Saenz E, Ederra I, Ikonen P, Tretyakov S, Gonzalo R 2007 J. Opt. A: Pure Appl. Opt. 9 S308

    [12]

    Saenz E, Ederra I, Gonzalo R, Pivnenko S, Breinbjerg O, De Maagt P 2009 IEEE Trans. Antenn. Propagat. 57 383

    [13]

    Saenz E, Ederra I, De Maagt P, Gonzalo R 2007 Electron. Lett. 43 850

    [14]

    Saenz E, Gonzalo R, Ederra I, Vardaxoglou J C, De Maagt P 2008 IEEE Trans. Antenn. Propagat. 56 951

    [15]

    Wu X, Peng Z B, Qu S B, Xu Z, Bai P, Wang J F, Wang X H, Zhong H 2011 Acta Phys. Sin. 60 114201 (in Chinese) [吴翔, 裴志斌, 屈绍波, 徐卓, 柏鹏, 王甲富, 王新华, 周航 2011 物理学报 60 114201]

    [16]

    Sun L K, Cheng H F, Zhou Y J, Wang J, Pang Y Q 2011 Acta Phys. Sin. 60 108901 (in Chinese) [孙良奎, 程海峰, 周永江, 王军, 庞永强 2011 物理学报 60 108901]

    [17]

    Mosallaei H, Sarabandi K 2005 IEEE Antenn. Propag. Society International Symposium 1B 615

    [18]

    Gu C, Qu S B, Pei Z B, Xu Z, Bai P, Peng W D, Lin B Q 2011 Acta Phys. Sin. 60 087801 (in Chinese) [顾超, 屈绍波, 裴志斌, 徐卓, 柏鹏, 彭卫东, 林宝勤2011 物理学报 60 087801]

    [19]

    Gu C, Qu S B, Pei Z B, Xu Z, Lin B Q, Zhou H, Bai P, Gu W, Peng W D, Ma H 2011 Acta Phys. Sin. 60 087802 (in Chinese) [顾超, 屈绍波, 裴志斌, 徐卓, 林宝勤, 周航, 柏鹏, 顾巍, 彭卫东, 马华2011物理学报 60 087802]

    [20]

    Gu C, Qu S B, Pei Z B, Xu Z, Ma H, Lin B Q, Bai P, Peng W D 2011 Acta Phys. Sin. 60 107801 (in Chinese) [顾超, 屈绍波, 裴志斌, 徐卓, 马华, 林宝勤, 柏鹏, 彭卫东 2011 物理学报 60 107801]

    [21]

    Alici K B, Turhan A B, Soukoulis C M, Ozbay E 2011 Opt. Express 19 14260

    [22]

    Yu N F, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333

    [23]

    Ni X J, Emani N K, Kildishev A V, Boltasseva A, Shalaev V M 2012 Science 335 427

    [24]

    Pendry J B, Schurig D, Smith D R 2006 Science 312 1780

    [25]

    Leonhardt U 2006 Science 312 1777

计量
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  • PDF下载量:  2533
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-11-12
  • 修回日期:  2013-01-11
  • 刊出日期:  2013-05-05

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