Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

In this paper, we introduce a new laser beam called Bessel higher-order cosh-Gaussian (BHChG) beam and analyzed its propagation properties through a paraxial ABCD optical system. The analytical expression of the diffracted beam is derived based on the extended Huygens–Fresnel integral and some numerical examples of BHChG beam propagating in a free space, through a thin lens and a Fractional Fourier transform system are exposed. The results reveal that the behavior of the output BHChG beam is affected by the optical system and the source beam parameters. The propagation of some laser beams through a paraxial ABCD optical system is deduced as particular case from the present study such as the fundamental Gaussian beam, the Bessel-Gaussian beam, the cosh-Gaussian beam, the Bessel-cosh-Gaussian beam and the Higher-order-cosh-Gaussian beam. The outcomes can be helpful for free-space optical communication, remote sensing and optical micromanipulation.