Open AccessSelf-trapping of scalar and vector dipole solitary waves in Kerr media
Author(s) -
WeiPing Zhong,
Milivoj R. Belić,
Gaetano Assanto,
Boris A. Malomed,
Tingwen Huang
Publication year - 2011
Publication title -
physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.83.043833
Subject(s) - physics , scalar (mathematics) , instability , dipole , diffraction , vorticity , trapping , classical mechanics , vortex , quantum electrodynamics , quantum mechanics , mechanics , geometry , ecology , mathematics , biology
We report solutions for expanding dipole-type optical solitary waves in two-dimensional Kerr media with the self-focusing nonlinearity, using exact analytical (Hirota) and numerical methods. Such localized beams carry intrinsic vorticity and exhibit symmetric shapes for both scalar and vector solitary modes. When vector beams are close to the scalar limit, simulations demonstrate their stability over propagation distances exceeding 50 diffraction lengths. In fact, the continuous expansion helps the vortical beams avoid the instability against the splitting, collapse, or decay, making them "convectively stable" patterns