Scattering of a shaped beam by a PEMC sphere

The generalized Lorenz-Mie theory (GLMT) for a perfect electromagnetic conductor (PEMC) sphere illuminated by a laser beam of arbitrary shape is developed. After that, by expanding the incident and scattered waves using vector spherical wave functions (VSWFs) and considering the appropriate boundary conditions for the PEMC sphere, the relation between the expanded coefficients of the scattered fields and the beam shape coefficients (BSCs) of the incident beam is derived. The analytical expressions for the extinction, scattering and absorption efficiencies are gotten. According to the scattering characteristics of the PEMC, the scattering efficiency is divided into three parts that are co-polarized, cross-polarized, and interference components. The numerical results and discussions focus on the effects of polarization, size parameter, admittance, and beam parameters of Structural beam to the PEMC sphere. There is a discovery that the intensity and distribution of the total electric field intensity in the transverse yz plane depends on the incident beam and its polarization states. Besides, the scattering efficiency and its components have something to do with admittance parameter
$M$
and dimensionless size
$ka$
, The results have promising applications in scattering, particle manipulation, optical trapping, and other related researches.