MATLAB codes for Vertex-angle Talbot carpet enables self-imaging, mode multiplication, and transformation in skew-periodic structures

MATLAB Code Repository for:“Vertex-angle Talbot carpet enables self-imaging, mode multiplication, and transformation in skew-periodic structures”DOI: https://doi.org/10.1038/s42005-025-02405-6This repository contains the MATLAB scripts used to reproduce the numerical simulations and figures presented in the article. The codes compute Laguerre–Gaussian beam profiles, model their diffraction behavior under vertex-angle variation, and generate vertex-angle Talbot carpets along different observation axes.LaguerrePolynomialFunction.mComputes the associated Laguerre polynomials and is required by all simulation scripts.SimulateLGDiffraction.mGenerates LG diffraction patterns at multiple propagation distances and angular conditions around the optimal vertex angle.VertexAngleTalbot_X.mProduces the vertex-angle Talbot carpet along the x-axis observation direction.VertexAngleTalbot_S.mGenerates the vertex-angle Talbot carpet along the skewed s-axis.