Laguerre-Gaussian Beam Scattering by a Perfect Electromagnetic Conductor (PEMC) Sphere

In this manuscript, we analyzed the scattering of Laguerre-Gaussian (LG) beam by a perfect electromagnetic conductor (PEMC) sphere. The LG beam is famous due to an additional characteristic of orbital angular momentum (OAM). For an incident LG beam, the vector potential A(LG)(p,l) is employed to obtain the electromagnetic (EM) fields. LG beam may be described like superposition of Hermite-Gaussian (HG) modes, so the LG beam is expanded in the context of spherical vector wave functions (SVWFs) employing relation between LG and HG beam modes. The unknown scattering coefficients by an LG beam with helical phase profile are calculated using radial and tangential boundary conditions at the surface of PEMC sphere. The effects of the beam modes, beam width, and beam center coordinate position on the differential scattering cross section (DSCS) for a PEMC sphere have been computed. Numerical results explore that when the number of beam modes increase, the DSCS increases due to internal spatial degrees of freedom of the LG beam for nonzero p or l. This work has considerable potential to further investigate the aspects of metamaterials illuminated by LG beam for an optical community.