Optical vortex trajectory of the edge-diffracted single-charged Laguerre-Gaussian beam

The paper deals with the edge diffraction of single charged Laguerre-Gaussian beam outside waist. Based on Kirchhoff-Fresnel integral, behavior optical vortex (OV) migration during sequential blocking by straight screen is performed analytically. Universal combination diffracting-beam parameters determining shape for OV spiral trajectories revealed. Parametric equations describing dislocation dependent screening degree are derived. In addition, trajectory, which describes positions in case screen-edge translatory motion across incident under conditions weak perturbation, obtained. As a result, equation wider region perturbation selected as best matching function certain variation interval parameters. work has prepared basis solving inverse problem: diffractive interaction obstacles from trajectory vortex.