Scattering of Laguerre–Gaussian beam from a chiral-coated perfect electromagnetic conductor (PEMC) cylinder

A theoretical analysis of Laguerre–Gaussian (LG) beam scattering from a chiral-coated perfect electromagnetic conductor (PEMC) cylinder is presented. The analytical treatment of the electromagnetic fields is characterized within the framework of Mie theory. LG beam expressions are modeled by taking into account the plane wave scattering and electrostatic LG potential. The analytical formulation is constructed for parallel polarization, and perpendicular polarization can be formulated using the duality principle. To determine the unknown scattering coefficients, the specific boundary conditions are applied at each interface of the chiral-coated perfect electromagnetic conductor (PEMC) cylinder. The influence of beam parameters including the radial mode (p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(p)$$\end{document}, azimuthal mode (l)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(l)$$\end{document}, and beam waist radius (w0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(w}_{0})$$\end{document} on the normalized bistatic radar cross section (RCS) is examined for the double-positive and double-negative chiral cores. The proposed model for LG beam scattering under special conditions perfectly matches the plane wave scattering for the PEMC chiral-coated cylinder.