Electromagnetic scattering on a dielectric sphere by vortex Gaussian beam field

The study of twisted light is an imperative field of exploration in both the classical electromagnetics and quantum regimes. So, in this manuscript, using the Generalized Lorenz-Mie theory (GLMT), the electromagnetic efficiencies and differential scattering on a homogeneous and isotropic dielectric sphere have been investigated in the presence of a vortex Gaussian beam (VGB) with Gaussian field profile. To do this, a mathematical model is proposed for analyzing the scattering characteristics of the VGB from a dielectric sphere. Electromagnetic fields are expressed in the context of the spherical vector wave-functions (SVWFs). The unknown field coefficients regarding scattered fields and the internal fields are calculated by the implementation of continuous boundary conditions (BCs) at the surface of the dielectric sphere. Scattering efficiency, extinction efficiency, absorption efficiency as well as differential scattering of an isotropic dielectric sphere are numerically studied. The influence of various parameters like as orbital angular momentum (OAM) mode number, beam waist radius, and the relative refractive index for efficiency factors and differential scattering has been computed and numerically analyzed. Our research offers a more comprehensive investigation of the scattering of structured light towards scattering media.