Propagation of hypergeometric Gaussian beams in strongly nonlocal nonlinear media

Abstract

Optical vortex beams have attracted lots of interest due to its potential application in image processing, optical trapping and optical communications, etc. In this work, we theoretically and numerically investigated the propagation properties of hypergeometric Gaussian (HyGG) beams in strongly nonlocal nonlinear media. Based on the Snyder-Mitchell model, analytical expressions for propagation of the HyGG beams in strongly nonlocal nonlinear media were obtained. The influence of input power and optical parameters on the evolutions of the beam width and radius of curvature is illustrated, respectively. The results show that the beam width and radius of curvature of the HyGG beams remain invariant, like a soliton when the input power is equal to the critical power. Otherwise, it varies periodically like a breather, which is the result of competition between the beam diffraction and nonlinearity of the medium.

Bilinear Forms and Dark-Dark Solitons for the Coupled Cubic-Quintic Nonlinear Schrödinger Equations with Variable Coefficients in a Twin-Core Optical Fiber or Non-Kerr Medium*

“…Twin-core optical fibers have been applied in such fields as the optical sensing [1] and optical communication, [2] which have embodied in the optical fiber sensors, [1] optical interferometers [2] and optical switches. [3] Propagation of the pulses, [4] Gauss beams [5] and laser beams [6−8] in the non-Kerr media has attracted the researchers' attention.…”