Transformation of a Vortex Cosine-hyperbolic-Gaussian Beam by an Airy Transform Optical System

The present paper investigates the Airy transformation of a vortex cosine-hyperbolic-Gaussian beam (vChGB). The analytical expression for this beam passing through an Airy Transform Optical System is derived in detail based on the Huygens-Fresnel integral. It is demonstrated that the Airy transform vChGB is a superposition of Airy and Airy prime modes. Numerical results show that the output beam is Airy-like with a central vortex, and its intensity distribution can be controlled by adjusting the initial vChGB parameters and control factors of the Airy Transform. The obtained results could be beneficial for the applications of Airy-related beams.