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
  • [41] Self-Similar and Self-Affine Properties of Two-Dimensional Fracture Patterns in Rocks
    Alejandra Aguilar-Hernández
    Guillermo Ramírez-Santiago
    Mathematical Geosciences, 2010, 42 : 925 - 954
  • [42] Suppression of collapse for two-dimensional Airy beam in nonlocal nonlinear media
    Qian Kong
    Ning Wei
    Cuizhi Fan
    Jielong Shi
    Ming Shen
    Scientific Reports, 7
  • [43] Suppression of collapse for two-dimensional Airy beam in nonlocal nonlinear media
    Kong, Qian
    Wei, Ning
    Fan, Cuizhi
    Shi, Jielong
    Shen, Ming
    SCIENTIFIC REPORTS, 2017, 7
  • [44] Nonlinear theory for axisymmetric self-similar two-dimensional oscillations of electrons in cold plasma with constant proton background
    Osherovich, V. A.
    Fainberg, J.
    PHYSICS OF PLASMAS, 2018, 25 (01)
  • [45] Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system
    Eun Heui Kim
    Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 431 - 444
  • [46] Extension of Stroh's formalism to self-similar problems in two-dimensional elastodynamics
    Wu, KC
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (1996): : 869 - 890
  • [47] Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system
    Kim, Eun Heui
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2016, 47 (02): : 431 - 444
  • [48] TWO-DIMENSIONAL SELF-SIMILAR PLASMA STREAMS WITH AN AZIMUTHAL MAGNETIC-FIELD
    VELIKOVICH, AL
    LIBERMAN, MA
    SHMALTS, RF
    JETP LETTERS, 1985, 41 (03) : 116 - 120
  • [49] Multiple band gaps of two-dimensional elastic metamaterials with self-similar hierarchy
    Li, Qi
    Yuan, Haichao
    Sun, Xiaomei
    Xiao, Zifei
    PHYSICA SCRIPTA, 2023, 98 (03)
  • [50] LOCALIZED STATES AND SELF-SIMILAR STATES OF ELECTRONS ON A TWO-DIMENSIONAL PENROSE LATTICE
    FUJIWARA, T
    ARAI, M
    TOKIHIRO, T
    KOHMOTO, M
    PHYSICAL REVIEW B, 1988, 37 (06): : 2797 - 2804