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

摘要

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