Generation and characteristics of an Airy vortex beam from the anomalous vortex beam

Hybrid beams have evoked a long-running research upsurge due to its unique properties and extensive application. In this paper, we propose a novel method to generate a kind of hybrid Airy vortex beam (AiVB) with orbital angular momentum (OAM) by imposing a phase modulation on an anomalous vortex beam (AVB), which hybrid AiVB possesses dual characteristics of both optical vortices and Airy beams. According to the integral formula of Airy transform, analytical formula of the AiVB generated from the incident AVB via an optical Airy transform system (OATS) is derived. Eenergy flux density and OAM density of the AiVBs are investigated based on the Maxwell equation and Lorentz force formula, and four representative modes (E11, E12, E13, E14) of the AiVB are selected to elucidated graphically. In addition, dependence of the normalized intensity distribution, OAM density distribution, phase variation, and electric field's gradient vector of the generated AiVBs on the control parameters δ0x and δ0y of the OATS and topological charge m are also considered. Results obtained here would further enrich the research on the vortex beams and provide theoretical basis for producing versatile optical vortices.