Propagation characteristics of astigmatic hyperbolic sinusoidal Gaussian beams in nonlocal nonlinear media

Abstract In this paper, the propagation characteristics of astigmatic hyperbolic sinusoidal Gaussian beam (AHSGB) in strongly nonlocal nonlinear media are discussed. The propagation expression of the AHSGB is theoretically derived and the evolution characteristics of the light intensity distribution, the beam width, and the phase curvature are analyzed by using mathematical and numerical methods. We find that the parameters of the hyperbolic sinusoidal function, the initial power and the initial position are important factors that influence the propagation behavior of the beam.