Diffraction of generalized Humbert-Gaussian beams by a helical axicon

摘要

In the present paper, the diffraction of the Generalized Humbert-Gaussian beams by a helical axicon based on the process of the Fresnel diffraction is investigated. We have derived an analytical expression of the intensity distribution for the diffracted beams and compared it to that obtained by the stationary phase method. Numerical simulations are performed to analyze the comportment of the diffracted beams by controlling the parameters of the input beams and the topological charge of the helical axicon.