Hermite-Gaussian beam scattering by a PEMC sphere

The scattering of perfect electromagnetic conductor (PEMC) sphere illuminated by a Hermite-Gaussian (HG) beam is studied. The PEMC is regarded as a generalization of both the perfect electric conductor and the perfect magnetic conductor. By utilizing vector potential, the incident and scattered electromagnetic fields for HG beams are expressed in the context of spherical vector wave functions. By implementing the boundary condition on PEMC sphere, the scattering coefficients of the HG beam in terms of beam expansion coefficients are derived. The numerical results in the context of normalized differential scattering cross section (DSCS) and polarization of the HG beam are computed. The influence of the HG beam configuration parameters i.e., (mode indices, beam waist radius, center coordinates) and PEMC electromagnetic admittance are explored. As the beam modes varies, the normalized DSCS was influenced owing to internal spatial degrees of freedom of the HG beam for non-zero beam modes. Polarizability is also very sensitive to the admittance of the PEMC sphere. So, admittance parameter regulates the polarization of the HG beam. It is hoped that the findings of this research would be valuable on light manipulation, PEMC coating sphere, and metamaterials.