Abstract
In this paper, we have derived the analytical expression for a diffracted finite cosh-Airy beam by an Airy Transform Optical System (ATOS). The obtained output field is expressed as a superposition of finite Airy modes with different weights and decay factors. Numerical examples were performed to illustrate the influence of the scale factor, the parameter associated with cosh-function, in addition to the parameters of the finite Airy mode and the parameters of the ATOS on the generated beam. It is shown that the resulting beam possesses more manipulation degrees of freedom than that corresponding to finite Airy or Gaussian-Airy beams. This investigation is also extended to the cos-Airy beams. The obtained results are consistent with those previously obtained for fundamental Gaussian and Airy beams, and the present study provides a more generalized investigation on the conversion of related Airy beams by an ATOS.
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