Effects of Hollow-Gaussian beams on Fresnel diffraction by an opaque disk

In this paper, we present a theoretical study of the Fresnel diffraction of Hollow-Gaussian laser beams (HGBs) by an opaque disk. Analytical expressions describing the wave amplitude and the intensity distribution of the HGBs diffracted by an opaque disk are derived. In this analysis, important numerical calculations are performed. The effects of some factors, including the radius of the opaque disk and the input beam parameters, on the intensity distribution, are investigated and discussed numerically. Particular case, such as the propagation of the Gaussian beams, is deduced from our main finding. The results of this work have potential applications in optical communications.

Automated summary

In this paper, a theoretical study of the Fresnel diffraction of Hollow-Gaussian laser beams (HGBs) by an opaque disk is presented. Analytical expressions describing the wave amplitude and intensity distribution of the HGBs diffracted by an opaque disk are derived. Important numerical calculations are performed to investigate and discuss the effects of factors such as the radius of the opaque disk and the input beam parameters on the intensity distribution. A specific case of Gaussian beam propagation is deduced from the main finding. The results of this work have potential applications in optical communications.