Abstract
The evolution properties of a vortex Hermite cosine-hyperbolic-Gaussian beam (vHChGB) propagating in a strongly nonlocal nonlinear media (SNNM) are examined theoretically based on the Snyder-Mitchell model. Mathematical and numerical calculations are performed to illustrate the propagation formula, the second-order intensity moment beam width and the curvature radius of an on-waist incident vHChGB in SNNM. The results reveal that under general conditions, the vHChGB evolves periodically upon propagation in SNNM, and the beam shape is strongly dependent on the power and the parameters of the incident beam. The beam evolution during propagation is generally breather-like, and when the incident beam power equals to the critical power value, the beam behaves like a soliton. The evolution behaviors of vHChGB in SNNM are well demonstrated, which could have promising applications in optical switch and micro-manipulations.
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