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The beam propagation based on one-dimensional separation modulated photonic lattices

Qi Xin-Yuan Cao Zheng Bai Jin-Tao

The beam propagation based on one-dimensional separation modulated photonic lattices

Qi Xin-Yuan, Cao Zheng, Bai Jin-Tao
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  • We numerically study the propagations of Gaussian beams in four types of separation modulated photonic lattices. The results shows that the potential wells between double positive hyperbolic secant and rectangular potential barriers and between the potential barriers in the forms of double negative hyperbolic secant and rectangular functions can both support localized linear modes. Moreover, the coupling effects between two linear modes in the potential barriers can be used to realize all-optical switch. Furthermore, the nonlinear localization can also be observed in high power. Our results supply new ideas for all optical switch, light controlling and manipulation in photonic lattices.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11104221), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2011JQ1005), the Natural Science Foundation of Northwest University, China (Grant No. 10NW12), and the Higher School Specialized Research Fund for the Doctoral Program Funding Issue, China (Grant No. 20116101120008).
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    Pertsch T, Zentgraf T, Peschel U, Bräuer A, Lederer F 2002 Phys. Rev. Lett. 88 093901

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    Trompeter H, Peschel U, Pertsch T, Lederer F 2003 Opt. Express 113404

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    Liu S, Zhang P, Xiao F J, Gan X T, Zhao J L 2009 Acta Phys. Sin. 58 5467 (in Chinese) [刘圣, 张鹏, 肖发俊, 甘雪涛, 赵建林 2009 物理学报 58 5467]

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    Kartashov Y V, Vysloukh V A 2010 Opt. Lett. 35 205

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    Lobanov V E, Vysloukh V A, Kartashov Y V 2010 Phys. Rev. A 81 023803

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    Qi X Y, Garanovich I L, Xu Z, Sukhorukov A A, Krolikowski W, Mitchell A, Zhang G, Neshev D N, Kivshar Y S 2009 Opt. Lett. 34 2751

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    Szameit A, Garanovich I L, Heinrich M, Sukhorukov A A, Dreisow F, Pertsch T, Nolte S, Tuennermann A, Kivshar Y S 2009 Nature Phys. 5 271

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    Szameit A, Kartashov Y V, Dreisow F, Heinrich M, Pertsch T, Nolte S, Tnnermann A, Vysloukh V A, Lederer F, Torner L 2009 Phys. Rev. Lett. 102 153901

    [10]

    Valle G D, Ornigotti M, Cianci E, Foglietti V, Laporta P, Longhi S 2007 Phys. Rev. Lett. 98 263601

    [11]

    Ablowitz M J, Musslimani Z H 2003 Phys. Rev. Lett. 87 254102

    [12]

    Liu S L 2003 Acta Phys. Sin. 52 2825 (in Chinese) [刘山亮 2003 物理学报 52 2825]

    [13]

    Wu J H, Fu X Q, Wen S C 2006 Acta Phys. Sin. 55 1840 (in Chinese) [吴锦花, 傅喜泉, 文双春 2006 物理学报 55 1840]

    [14]

    Cao Z, Qi X Y, Feng X Q, Ren Z Y, Zhang G Q, Bai J T 2012 Opt. Express 20 19119

    [15]

    Sukhorukov A A 2010 Opt. Lett. 35 989

    [16]

    Szameit A, Dreisow F, Heinrich M, Nolte S, Sukhorukov A A 2011 Phys. Rev. Lett. 106 193903

    [17]

    Khorasani S, Rashidian B 1981 Phys. Rev. B 24 5698

    [18]

    Lahini Y, Bromberg Y, Shechtman Y, Szameit A, Christodoulides D N, Morandotti R, Silberberg Y 2011 Phys. Rev. A 84 041806

    [19]

    Keil R, Lahini Y, Shechtman Y, Heinrich M, Pugatch R, Dreisow F, Tnnermann A, Nolte S, Szameit A 2012 Opt. Lett. 37 809

    [20]

    Sukhorukov A A, Neshev D N, Dreischuh A, Fischer R, Ha S, Krolikowski W, Bolger J, Mitchell A, Eggleton B J, Kivshar Y S 2006 Opt. Express 14 11265

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    Christodoulides D N, Lederer F, Silberberg Y 2003 Nature 424 817

  • [1]

    Eisenberg H S, Silberberg Y, Morandotti R, Aitchison J S 2000 Phys. Rev. Lett. 85 1863

    [2]

    Pertsch T, Zentgraf T, Peschel U, Bräuer A, Lederer F 2002 Phys. Rev. Lett. 88 093901

    [3]

    Trompeter H, Peschel U, Pertsch T, Lederer F 2003 Opt. Express 113404

    [4]

    Liu S, Zhang P, Xiao F J, Gan X T, Zhao J L 2009 Acta Phys. Sin. 58 5467 (in Chinese) [刘圣, 张鹏, 肖发俊, 甘雪涛, 赵建林 2009 物理学报 58 5467]

    [5]

    Kartashov Y V, Vysloukh V A 2010 Opt. Lett. 35 205

    [6]

    Lobanov V E, Vysloukh V A, Kartashov Y V 2010 Phys. Rev. A 81 023803

    [7]

    Qi X Y, Garanovich I L, Xu Z, Sukhorukov A A, Krolikowski W, Mitchell A, Zhang G, Neshev D N, Kivshar Y S 2009 Opt. Lett. 34 2751

    [8]

    Szameit A, Garanovich I L, Heinrich M, Sukhorukov A A, Dreisow F, Pertsch T, Nolte S, Tuennermann A, Kivshar Y S 2009 Nature Phys. 5 271

    [9]

    Szameit A, Kartashov Y V, Dreisow F, Heinrich M, Pertsch T, Nolte S, Tnnermann A, Vysloukh V A, Lederer F, Torner L 2009 Phys. Rev. Lett. 102 153901

    [10]

    Valle G D, Ornigotti M, Cianci E, Foglietti V, Laporta P, Longhi S 2007 Phys. Rev. Lett. 98 263601

    [11]

    Ablowitz M J, Musslimani Z H 2003 Phys. Rev. Lett. 87 254102

    [12]

    Liu S L 2003 Acta Phys. Sin. 52 2825 (in Chinese) [刘山亮 2003 物理学报 52 2825]

    [13]

    Wu J H, Fu X Q, Wen S C 2006 Acta Phys. Sin. 55 1840 (in Chinese) [吴锦花, 傅喜泉, 文双春 2006 物理学报 55 1840]

    [14]

    Cao Z, Qi X Y, Feng X Q, Ren Z Y, Zhang G Q, Bai J T 2012 Opt. Express 20 19119

    [15]

    Sukhorukov A A 2010 Opt. Lett. 35 989

    [16]

    Szameit A, Dreisow F, Heinrich M, Nolte S, Sukhorukov A A 2011 Phys. Rev. Lett. 106 193903

    [17]

    Khorasani S, Rashidian B 1981 Phys. Rev. B 24 5698

    [18]

    Lahini Y, Bromberg Y, Shechtman Y, Szameit A, Christodoulides D N, Morandotti R, Silberberg Y 2011 Phys. Rev. A 84 041806

    [19]

    Keil R, Lahini Y, Shechtman Y, Heinrich M, Pugatch R, Dreisow F, Tnnermann A, Nolte S, Szameit A 2012 Opt. Lett. 37 809

    [20]

    Sukhorukov A A, Neshev D N, Dreischuh A, Fischer R, Ha S, Krolikowski W, Bolger J, Mitchell A, Eggleton B J, Kivshar Y S 2006 Opt. Express 14 11265

    [21]

    Christodoulides D N, Lederer F, Silberberg Y 2003 Nature 424 817

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  • Received Date:  13 August 2012
  • Accepted Date:  20 September 2012
  • Published Online:  20 March 2013

The beam propagation based on one-dimensional separation modulated photonic lattices

  • 1. Department of Physics, The Institute of Photonic and Photonic Technology, Northwest University, Xi’an 710069, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 11104221), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2011JQ1005), the Natural Science Foundation of Northwest University, China (Grant No. 10NW12), and the Higher School Specialized Research Fund for the Doctoral Program Funding Issue, China (Grant No. 20116101120008).

Abstract: We numerically study the propagations of Gaussian beams in four types of separation modulated photonic lattices. The results shows that the potential wells between double positive hyperbolic secant and rectangular potential barriers and between the potential barriers in the forms of double negative hyperbolic secant and rectangular functions can both support localized linear modes. Moreover, the coupling effects between two linear modes in the potential barriers can be used to realize all-optical switch. Furthermore, the nonlinear localization can also be observed in high power. Our results supply new ideas for all optical switch, light controlling and manipulation in photonic lattices.

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