Spatial-Spectral Vortex Solitons in Quadratic Lattices
arXiv:0903.1890 · doi:10.1364/OL.34.001168
Abstract
We predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase gradients at the fundamental frequency and second-harmonic fields, and the parametric frequency conversion between the spectral components. The linear stability analysis shows that such modes are stable in a broad parameter region.
4 pages, 3 figures, to appear in Optics Letters