The properties of photonic band gaps for three-dimensional tunable photonic crystals with simple-cubic lattices doped by magnetized plasma

In this paper, the properties of photonic band gaps (PBGs) for two types of three-dimensional magnetized plasma photonic crystals (MPPCs) composed of homogeneous magnetized plasma and dielectric with simple-cubic lattices are theoretically investigated based on a modified plane wave expansion (PWE) method, as incidence electromagnetic (EM) wave vector is parallel to the external magnetic field. The equations for calculating the band diagrams in the first irreducible Brillouin zone of two types of photonic crystals (dielectric spheres immersed in magnetized plasma background or vice versa), are theoretically deduced. The influences of dielectric constant of dielectric, plasma collision frequency, filling factor, the external magnetic field and plasma frequency on the properties of PBGs for both types of MPPCs are discussed in detail, respectively, and some corresponding physical explanations are also given. The characteristics of flatbands region are also discussed. From the numerical results, it has been shown that not only the bandwidths but also the relative bandwidths of the PBGs for both types of three-dimensional MPPCs can be manipulated by the plasma frequency, filling factor, external magnetic field and relative dielectric constant of dielectric, respectively. However, the plasma collision frequency has no effect on the frequency ranges and relative bandwidths of the PBGs for two types of three-dimensional MPPCs. The location of flatbands region can not be tuned by any parameters except for the plasma frequency and the external magnetic field.

► The eigenvalue equations of two types of 3D MPPCs are deduced respectively.
► The PBGs of both types of MPPCs can be tuned by εa, ωp and ωc respectively.
► νc has no effect on the PBGs for two types of 3D MPPCs.
► The flatbands region can not be tuned by any parameters except for ωp and ωc.