Gengxin Chen, Qiliang Sun, Jintao Xie, Dongmei Deng
We introduce a class of Airy hollow Gaussian vortex (AiHGV) beams and derive the analytical propagating expression of the AiHGV beams in strongly nonlocal nonlinear media (SNNM) using the transfer matrix method for the first time. The nonlinear factor 𝛺 can significantly increase the intensity of the side lobe and the hollow range becomes obvious, which causes the propagation pattern to dramatically change. Moreover, the distribution factor 𝛼 can prominently affect the focusing range and the decay factor a can also flexibly change the focusing position. In addition, 3D propagation and the center of mass are fully described to enrich the propagation properties of the AiHGV beams. Interestingly, the variations of the nonlinear factor 𝛺 and the decay factor a are proportional to the Poynting vector, the angular momentum and the gradient force at the focusing position, in which the effect of the distribution factor 𝛼 is totally different.
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