Transformation of higher-order cosh-Gaussian beams into an Airy-related beams by an optical airy transform system

In this paper, we investigate the transformation of a higher-order cosh-Gaussian beam into an Airy-related beam by an Airy transform optical system. Based on the Huygens-Fresnel integral diffraction, the analytical expression of the generated curved beam is derived. The effects of the decentered parameter b, the beam orders, and the phase constants (alpha and beta) on the generated beam are discussed numerically. It is shown that the number and the intensity distributions of side lobes of the generated beam pattern depend on the parameter b and the beam orders. Peak band structures are observed for higher-orders and large b. Furthermore, the localization of the beam pattern in the plane depends on the relative signs of alpha and beta. The obtained results may be useful in practical applications dealing with Airy beams.