Instability suppression of vector vortex solitons in nonlocal nonlinear media
Huicong Zhang, Zhiwei Weng, Qian Shou, Qi Guo, Wei Hu
Abstract
We studied the instability suppression of vector vortex solitons (VVS), comprised of two incoherently coupled vortices with different topological charges $m$ in thermal nonlocal nonlinear media with cylindrical symmetry. Using linear stability analysis, we found that the azimuthal instability of the higher-order ($|m|\ensuremath{\ge}3$) vortex can be suppressed and even eliminated because of the presence of the other lower-order ($|m|\ensuremath{\le}2$) vortex, including the fundamental beam. The VVS will be stable when the power ratio of the lower-order vortex exceeds a threshold. We also found that stable VVS exists in some combinational states with opposite-sign charges (${m}_{1}=\ensuremath{-}1$, ${m}_{2}\ensuremath{\ge}3$) when the two vortex components have equal Gaussian beam widths.