MATLAB codes for

<b>MATLAB Code for </b><b><i>Vertex-angle Talbot carpet enables self-imaging, mode multiplication, and transformation in skew-periodic structures</i></b><br>This repository contains MATLAB scripts used to generate simulation results and figures presented in the article <i>Talbot effect of skew-periodic structures under structured light beam illumination: Vertex-angle Talbot Carpet</i>L_lp.m is a supporting function that defines the associated Laguerre polynomials up to radial index. This file is required for all other scripts to compute the Laguerre-Gaussian beam profiles.LGBeamDiffractionSimulation.m generates the diffraction patterns of Laguerre-Gaussian beams for different propagation distances and three angular scenarios: slightly before, exactly at, and slightly after the optimal vertex angle. The script visualizes the resulting intensity distributions for each case, corresponding to the key figures in the article.VertexAngleTalbotCarpet_forXaxis.m creates the vertex-angle Talbot carpet along the x-axis reading direction. It maps how the self-imaging behavior evolves with angle in a skew-periodic structure when the observation axis is aligned with the x-direction.VertexAngleTalbotCarpet_forSaxis.m generates the vertex-angle Talbot carpet along the s-axis (diagonal or skewed direction), showing the beam transformation behavior under structured light illumination for skewed observation paths.Make sure that L_lp.m is located in the same directory as the main scripts or added to your MATLAB path before running the simulations.<br>