Conversion of the hyperbolic-cosine Gaussian beam to a novel Finite Airy-related beam using an optical airy transform system

This work deals a novel expression of a Finite Airy-related beam generated by the conversion of the phase of a hyperbolic-cosine Gaussian (ChG) beam by means of an optical Airy transform system (OATS). The analytical expression of the Finite Airy-related beam generated from a fundamental Gaussian beam illuminating the tool of the OATS is deduced from our main study as a special case. Some numerical simulations are carried out in order to investigate the effects of the initial ChG beam parameters and those of the OATS on the change of the modules features of the generated Finite Airy-related beam. The study of results shows that we can adjust and control the distance between the modules of the created Finite Airy-related beams. Also, the positions and the orientations of these modules can be controllable and adjustable with the help of the manipulation of the optical system parameters.