The generalized Kerker effects have attracted increasing interests in recent years due to their abilities to manipulate the far-field properties of metasurfaces. However, the dual-polarized generalized Kerker effect enabling different tailoring of orthogonally-polarized electromagnetic waves has not yet been reported. Herein, we demonstrate polarization-controlled dual resonant lattice Kerker effects in periodic silicon nanodisks. By varying the incident angle, the electric dipole and magnetic dipole surface lattice resonances can spectrally overlap, causing zero reflectance and unitary transmittance, i.e., the resonant lattice Kerker effect. The incident angle for achieving this effect can be tuned differently for s- and p-polarizations over large regions by varying the nanodisk size or the lattice periods. The proposed dual-polarized resonant lattice Kerker effects open up avenues for polarization-controlled manipulation of the phase and wavefront of light with metasurfaces.

Polling system models have a wide range of important applications including time-sharing computer systems, industrial control, communications, and computer networks. In this paper, we propose a two-class priority-based polling system that uses gated and exhaustive services to achieve the priority-based scheme. This model is set up according to the method of the imbedded Markov chain theory and the generation function and explicitly analyzes key system performance characteristics including mean queue length, cyclic time, and throughput. Theoretical and simulation results are identical and demonstrate the efficiency of the model.