Two-Dimensional Self-Similar Rotating Azimuthons in Strongly Nonlocal Nonlinear Media

被引:6
|
作者
Lai, Xian-Jing [1 ,2 ]
Jin, Mei-Zhen [3 ]
Zhang, Jie-Fang [2 ,3 ]
机构
[1] Zhejiang Shuren Univ, Dept Basic Sci, Hangzhou 310015, Zhejiang, Peoples R China
[2] Suzhou Univ, Sch Phys Sci & Technol, Suzhou 215006, Jiangsu, Peoples R China
[3] Zhejiang Univ Media & Commun, Hangzhou 310018, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
SCHRODINGER-EQUATION; OPTICAL VORTICES; VORTEX BEAM; SOLITONS;
D O I
10.6122/CJP.51.230
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive analytical 2D self-similar rotating azimuthons of a strongly nonlocal nonlinear media with a space-dependent diffraction coefficient, a gain (attenuation) coefficient based on the similarity transformation, and a variational approach. Remarkably, these self-similar azimuthons have the azimuthal angle modulated by the distributed diffraction coefficient, apart from the beam width and intensity changing self-similarly.
引用
收藏
页码:230 / 242
页数:13
相关论文
共 50 条
  • [31] New analytic solutions of two-dimensional nonlocal nonlinear media
    Hu, Yahong
    Zhu, Quanyong
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 305 : 53 - 61
  • [32] Two-dimensional dark solitons in diffusive nonlocal nonlinear media
    Xu S.-L.
    Petrović N.
    Belić M.R.
    Journal of Optics (India), 2015, 44 (02): : 172 - 177
  • [33] Two-dimensional spatial solitons in highly nonlocal nonlinear media
    M. R. Belić
    W. -P. Zhong
    The European Physical Journal D, 2009, 53 : 97 - 106
  • [34] Stability of two-dimensional spatial solitons in nonlocal nonlinear media
    Skupin, S.
    Bang, O.
    Edmundson, D.
    Krolikowski, W.
    PHYSICAL REVIEW E, 2006, 73 (06):
  • [35] Dynamics of two-dimensional coherent structures in nonlocal nonlinear media
    Yakimenko, A. I.
    Lashkin, V. M.
    Prikhodko, O. O.
    PHYSICAL REVIEW E, 2006, 73 (06):
  • [36] Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations
    Jiequan Li
    Yuxi Zheng
    Archive for Rational Mechanics and Analysis, 2009, 193 : 623 - 657
  • [37] Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media
    Karmakar, Biren
    Ghosh, Niladri
    Das, Amiya
    CHAOS SOLITONS & FRACTALS, 2025, 191
  • [38] Self-similar evolution of the two-dimensional cylindrical magnetohydrodynamic flux rope
    Tsui, KH
    Tavares, MD
    JOURNAL OF ATMOSPHERIC AND SOLAR-TERRESTRIAL PHYSICS, 2005, 67 (17-18) : 1691 - 1696
  • [39] Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations
    Li, Jiequan
    Zheng, Yuxi
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 193 (03) : 623 - 657
  • [40] Self-Similar and Self-Affine Properties of Two-Dimensional Fracture Patterns in Rocks
    Aguilar-Hernandez, Alejandra
    Ramirez-Santiago, Guillermo
    MATHEMATICAL GEOSCIENCES, 2010, 42 (08) : 925 - 954