Three-dimensional Bessel light bullets in self-focusing Kerr media

被引：20
作者：
Zhong, Wei-Ping [1 ]
Belic, Milivoj [2 ]
Huang, Tingwen [2 ]
机构：
[1] Shunde Polytech, Elect & Informat Engn Dept, Shunde 528300, Guangdong, Peoples R China
[2] Texas A&M Univ Qatar, Doha 23874, Qatar
来源：
PHYSICAL REVIEW A | 2010年 / 82卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
OPTICAL VORTICES; SPATIAL SOLITONS; VORTEX BEAM; GENERATION; WAVE;
D O I：
10.1103/PhysRevA.82.033834
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We study three-dimensional (3D) Bessel light-bullet solutions of the nonlinear Schrodinger equation with a photonic lattice potential in the form of squared Bessel functions in polar coordinates, both analytically and numerically. Analytical solutions are obtained by the Hartree approximation, and numerical simulations are performed, to compare with the analytical solutions and to confirm the stability of localized solutions. The 3D spatial wave packets are built by the products of hyperbolic secant and Bessel functions. These solitons appear in different forms, such as 3D vortex solitons and multipole solitons.
引用
收藏
页数：5
相关论文
共 35 条
  • [1] GENERATION OF A TRAIN OF 3-DIMENSIONAL OPTICAL SOLITONS IN A SELF-FOCUSING MEDIUM
    AKHMEDIEV, N
    SOTOCRESPO, JM
    [J]. PHYSICAL REVIEW A, 1993, 47 (02): : 1358 - 1364
  • [2] [Anonymous], 2003, Optical Solitons
  • [3] Synthesis and analysis of optical vortices with fractional topological charges
    Basistiy, IV
    Pasko, VA
    Slyusar, VV
    Soskin, MS
    Vasnetsov, MV
    [J]. JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05): : S166 - S169
  • [4] Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear schrodinger equation
    Belic, Milivoj
    Petrovic, Nikola
    Zhong, Wei-Ping
    Xie, Rui-Hua
    Chen, Goong
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (12)
  • [5] Optical vortices evolving from helicoidal integer and fractional phase steps
    Berry, MV
    [J]. JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (02): : 259 - 268
  • [6] Generation of nondiffracting Bessel beams by use of a spatial light modulator
    Chattrapiban, N
    Rogers, EA
    Cofield, D
    Hill, WT
    Roy, R
    [J]. OPTICS LETTERS, 2003, 28 (22) : 2183 - 2185
  • [7] Necklace solitons and ring solitons in Bessel optical lattices
    Dong, Liangwei
    Wang, Hui
    Zhou, Weidong
    Yang, Xiaoyu
    Lv, Xiang
    Chen, Haiyun
    [J]. OPTICS EXPRESS, 2008, 16 (08) : 5649 - 5655
  • [8] ROBUST BISTABLE LIGHT BULLETS
    EDMUNDSON, DE
    ENNS, RH
    [J]. OPTICS LETTERS, 1992, 17 (08) : 586 - 588
  • [9] Three-dimensional vortex solitons in self-defocusing media
    Efremidis, Nikolaos K.
    Hizanidis, Kyriakos
    Malomed, Boris A.
    Di Trapani, Paolo
    [J]. PHYSICAL REVIEW LETTERS, 2007, 98 (11)
  • [10] Kerr spatiotemporal self-focusing in a planar glass waveguide
    Eisenberg, HS
    Morandotti, R
    Silberberg, Y
    Bar-Ad, S
    Ross, D
    Aitchison, JS
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (04) : 43902 - 1
1234