Study on the properties of photonic band gap and flatbands in the three-dimensional magnetized plasma photonic crystals with a general case

Abstract

In this paper, the properties of photonic band gap (PBG) and flatbands in the three-dimensional (3D) magnetized plasma photonic crystals (MPPCs) with a general case in face-centered-cubic lattices are theoretically investigated based on the modified plane wave expansion method, in which the homogeneous magnetized plasma spheres are immersed in the homogeneous and isotropic dielectric background, as the magneto-optical Faraday effects are considered. The more general situation has been considered, and the PBG of such MPPCs is for all of the electromagnetic waves. The derivation of the formulas for calculating also is given. Theoretical computing results show that a PBG and two flatbands regions can be obtained. Compared to the conventional dielectric-air photonic crystals with similar structure, the larger PBG can be obtained in such 3D MPPCs. However, the narrower PBG can be achieved compared to that for the right circular polarized (RCP) wave, and the larger upper edge frequency of second flatbands region can be achieved. For the flatbands region, the upper edge only can be tuned by the plasma frequency and plasma cyclotron frequency. The effects of plasma frequency and plasma cyclotron frequency (the external magnetic field) on the properties of PBG also are investigated theoretically in detail. Theoretical simulations show that the PBG can be manipulated by those two parameters. The results show that the properties of PBG are obviously different with those for RCP wave in the similar 3D MPPCs. Those results can hold promise for opening a new scope to design the filters, planar reflectors, omnidirectional mirrors, absorber or waveguides based on the 3D MPPCs.