Work

Elliptic vortices in composite Mathieu lattices

Year: 2009
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W2036136452
FWCI: 2.316
Cites: 44
Cited by: 30
Related to: 10