Abstract
Abstract By solving the normalized dimensionless Snyder–Mitchell model, the analytical expression of the Airy Gaussian vortex (AiGV) beams propagating in strongly nonlocal nonlinear media (SNNM) is specifically derived for the first time. We analytically and numerically study the AiGV beams propagating in SNNM. The influence of the changes in the input energy parameter and decay factor on the wave nodes of the propagation trajectory of the AiGV beams is described in detail. The difference in the effect of the wave nodes on the Poynting vector and the angular momentum is shown. The input energy parameter and distribution factor are discussed for the influence of the diffraction of the AiGV beams, the distribution area of Poynting vector, angular momentum, and gradient force, the peak value of the maximum scattering force, and the period of fluctuation. Our research results provide many interesting properties related to the AiGV beams in SNNM and also broaden the research areas of the AiGV beams and may promote the potential application of the AiGV beams in unique SNNM in physics or other related fields.
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