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Title: Elliptic vortices in composite Mathieu lattices

Abstract

We address the elliptically shaped vortex solitons in defocusing nonlinear media imprinted with a composite Mathieu lattice. Elliptic vortices feature anisotropic patterns both in intensity and phase, and can only exist when their energy flows exceed some certain threshold. Single-charged elliptic vortices are found to arise via bifurcation from dipole modes, which is an example in the context of optics studies of symmetry breaking bifurcations for the phase dislocations of different dimensionalities. Higher-order elliptic vortices with topological charge S could exhibit spatially separated S single-charged phase singularities, leading to their stabilization. The salient features of reported elliptic vortices qualitatively hold for other elliptic shaped confining potentials.

Authors:
 [1];  [2];  [1];  [3]
  1. Department of Physics, Centre for Nonlinear Studies and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong Baptist University, Kowloon Tong, Hong Kong (China)
  2. Department of Theoretical Physics, Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest 077125 (Romania)
  3. (United States)
Publication Date:
OSTI Identifier:
21313128
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.79.053852; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIFURCATION; DIPOLES; NONLINEAR PROBLEMS; OPTICS; POTENTIALS; SINGULARITY; SOLITONS; STABILIZATION; SYMMETRY BREAKING; TOPOLOGY; VORTICES

Citation Formats

Ye Fangwei, Mihalache, Dumitru, Hu Bambi, and Department of Physics, University of Houston, Houston, Texas 77204-5005. Elliptic vortices in composite Mathieu lattices. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.79.053852.
Ye Fangwei, Mihalache, Dumitru, Hu Bambi, & Department of Physics, University of Houston, Houston, Texas 77204-5005. Elliptic vortices in composite Mathieu lattices. United States. doi:10.1103/PHYSREVA.79.053852.
Ye Fangwei, Mihalache, Dumitru, Hu Bambi, and Department of Physics, University of Houston, Houston, Texas 77204-5005. 2009. "Elliptic vortices in composite Mathieu lattices". United States. doi:10.1103/PHYSREVA.79.053852.
@article{osti_21313128,
title = {Elliptic vortices in composite Mathieu lattices},
author = {Ye Fangwei and Mihalache, Dumitru and Hu Bambi and Department of Physics, University of Houston, Houston, Texas 77204-5005},
abstractNote = {We address the elliptically shaped vortex solitons in defocusing nonlinear media imprinted with a composite Mathieu lattice. Elliptic vortices feature anisotropic patterns both in intensity and phase, and can only exist when their energy flows exceed some certain threshold. Single-charged elliptic vortices are found to arise via bifurcation from dipole modes, which is an example in the context of optics studies of symmetry breaking bifurcations for the phase dislocations of different dimensionalities. Higher-order elliptic vortices with topological charge S could exhibit spatially separated S single-charged phase singularities, leading to their stabilization. The salient features of reported elliptic vortices qualitatively hold for other elliptic shaped confining potentials.},
doi = {10.1103/PHYSREVA.79.053852},
journal = {Physical Review. A},
number = 5,
volume = 79,
place = {United States},
year = 2009,
month = 5
}
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