Vector vortex solitons in nematic liquid crystals
Zhiyong Xu, Noel F. Smyth, Antonmaria A. Minzoni, and Yuri S. Kivshar
TL;DR
This paper investigates the existence and stability of vector vortex solitons in nematic liquid crystals, showing how nonlocal nonlinear responses can stabilize vortex beams through analytical and numerical methods.
Contribution
It introduces a variational approach to analyze the stabilization of vortex beams in nematic liquid crystals with nonlocal nonlinear response.
Findings
Nonlocal response enhances field coupling.
Vortex beams can be stabilized above a threshold amplitude.
Analytical variational method effectively describes stabilization.
Abstract
We analyze the existence and stability of two-component vector solitons in nematic liquid crystals for which one of the components carries angular momentum and describes a vortex beam. We demonstrate that the nonlocal, nonlinear response can dramatically enhance the field coupling leading to the stabilization of the vortex beam when the amplitude of the second beam exceeds some threshold value. We develop a variational approach to describe this effect analytically.
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