Nonlinear photonic crystals near the supercollimation point

被引:9
|
作者
Xu, Zhiyong [1 ,2 ,3 ]
Maes, Bjoern [4 ]
Jiang, Xunya [5 ]
Joannopoulos, John D. [1 ]
Torner, Lluis [2 ,3 ]
Soljacic, Marin [1 ]
机构
[1] MIT, Dept Phys, Elect Res Lab, Cambridge, MA 02139 USA
[2] Univ Politecn Cataluna, Barcelona 08860, Spain
[3] ICFO, Barcelona 08860, Spain
[4] Univ Ghent, Photon Res Grp, B-9000 Ghent, Belgium
[5] Chinese Acad Sci, Inst Microsyst & Informat Technol, Shanghai 200050, Peoples R China
关键词
D O I
10.1364/OL.33.001762
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrodinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios. (C) 2008 Optical Society of America.
引用
收藏
页码:1762 / 1764
页数:3
相关论文
共 50 条
  • [1] Modulation instability of light beam propagation near the supercollimation frequency in nonlinear photonic crystals
    Zhuang, Binxian
    Xiang, Yuanjiang
    Fang, Anle
    Wen, Shuangchun
    JOURNAL OF MODERN OPTICS, 2013, 60 (03) : 220 - 226
  • [2] Supercollimation in photonic crystals composed of silicon rods
    Shih, Ta-Ming
    Kurs, Andre
    Dahlem, Marcus
    Petrich, Gale
    Soljacic, Marin
    Ippen, Erich
    Kolodziejski, Leslie
    Hall, Katherine
    Kesler, Morris
    APPLIED PHYSICS LETTERS, 2008, 93 (13)
  • [3] Supercollimation in Photonic Crystals Composed of Nano-scale Silicon Rods
    Shih, Ta-Ming
    Dahlem, Marcus
    Kurs, Andre
    Petrich, Gale
    Soljacic, Marin
    Ippen, Erich
    Kolodziejski, Leslie
    Hall, Katherine
    Kesler, Morris
    2008 CONFERENCE ON LASERS AND ELECTRO-OPTICS & QUANTUM ELECTRONICS AND LASER SCIENCE CONFERENCE, VOLS 1-9, 2008, : 1359 - 1360
  • [4] The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal
    Jiang, Xunya
    Zhou, Chuanhong
    Yu, Xiaofang
    Fan, Shanhui
    Soljacic, Marin
    Joannopoulos, J. D.
    APPLIED PHYSICS LETTERS, 2007, 91 (03)
  • [5] A study of the origin of supercollimation in two-dimensional square-lattice photonic crystals
    Di, Yizhou
    Jiang, Xunya
    JOURNAL OF OPTICS, 2021, 23 (08)
  • [6] Supercollimation of photonic crystal with surface modes
    Wang, Bing
    Jiang, Ping
    Ma, Xiaojun
    Yang, Huajun
    OPTICAL ENGINEERING, 2013, 52 (12)
  • [7] Nonlinear photonic crystals
    Chowdhury, A
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 1431 - 1432
  • [8] Nonlinear photonic crystals
    Berger, V
    PHYSICAL REVIEW LETTERS, 1998, 81 (19) : 4136 - 4139
  • [9] Nonlinear photonic crystals.
    Prasad, PN
    Markowicz, PP
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2005, 229 : U717 - U718
  • [10] Photonic crystals in nonlinear optics
    Zheltikov, AM
    ALT'01 INTERNATIONAL CONFERENCE ON ADVANCED LASER TECHNOLOGIES, 2002, 4762 : 278 - 289