Scattering of arbitrary-shaped optical polarized beams by a PEMC sphere

•The generalized Lorenz-Mie theory (GLMT) for a laser beam of arbitrary shape illuminating a perfect electromagnetic conductor (PEMC) sphere is presented.•The precise expressions of the total electric field intensity, the scattering efficiency, and its components are attained by the GLMT.•The effects of dimensionless size and admittance parameter on the total electric field intensity and the scattering efficiency are calculated and analyzed.•The effects of wave parameters on the scattering efficiency are calculated and discussed.