Investigation of photonic band gap properties of one-dimensional magnetized plasma spherical photonic crystals

Utilizing the transfer matrix method (TMM), the magnetic and electric field equations of Maxwell's system of equations in the spherical coordinate system are constructed. By combining the solution of the spherical Bessel equation to theoretically treat the magnetic and electric fields of a one-dimensional (1-D) magnetized plasma spherical photonic crystals (MPSPCs), detailed expressions for the transmission properties and dispersion relations of 1-D MPSPCs are obtained. The structure of 1-D MPSPCs is also designed, and the effects of the cyclotron frequency of plasma, incidence angle, collision frequency, plasma frequency, structure, dissipation factor and plasma thickness on the photonic band gaps (PBGs) features are discussed. With the adjustment of these parameters, the impact of the collision frequency on the transmission properties is extraordinarily insignificant. The plasma frequency and the cyclotron frequency of plasma have quite similar effects on the PBGs. The variation of incidence angle and plasma frequency thickness affects not only the position of PBGs but also the amount of them. The difference in structure and the change in dissipation factor have no effect on the distribution of PBGs and only a slight effect on the amplitude of the transmission spectra.