Fraunhofer diffraction of a Laguerre-Gaussian laser beam by fork-shaped grating

TL;DR

This paper provides a theoretical analysis of Fraunhofer diffraction patterns of Laguerre-Gaussian laser beams by fork-shaped gratings, deriving analytical formulas for the diffracted field and vortex characteristics.

Contribution

It introduces new analytical expressions for the diffraction of Laguerre-Gaussian beams by fork-shaped gratings, enhancing understanding of vortex beam diffraction patterns.

Findings

Analytical formulas for diffracted wave amplitude and intensity.

Expressions for vortex radii in diffraction patterns.

Insight into the diffraction behavior of vortex beams.

Abstract

In this article we present a theoretical study for Fraunhofer diffraction of a Laguerre-Gaussian laser beam with zeroth radial mode number and azimuthal mode number l by diffractive grating with embedded fork-shaped dislocations of integer order p. Analytical expressions describing the diffracted wave field amplitude and intensity distributions in the Fourier plane are deduced and analyzed. They are also followed by the vortex radii expressions.