Magnetic-Field Dependence of Effective Plasma Frequency for a Plasma Photonic Crystal

The effective plasma frequency in a photonic crystal (PC) is defined as the lowest frequency at which electromagnetic wave can start to propagate through the PC. In this paper, we theoretically investigate the effective plasma frequency
fp
,
eff
for a magnetized 1-D plasma PC (PPC). The PPC is made of two constituents, i.e., the plasma and the dielectric material like quartz. The effective plasma frequency in a PPC is obtained based on the calculated photonic band structure (PBS). It is found that
fp
,
eff
can be controlled by the externally applied static magnetic field, namely,
fp
,
eff
decreases significantly as the static magnetic field increases. This suggests that the plasma layer in a PPC shows a dielectric-like behavior when the magnetic field is applied. In addition, in the presence of static magnetic field,
fp
,
eff
will be increased as a function of electron density and thickness of the plasma layer. In the angular dependence of effective plasma frequency, we find that
fp
,
eff
is a decreasing function of angle of incidence in the absence of the static magnetic field. However, it becomes an increasing function of angle of incidence when the static magnetic field is applied. Finally, the effect of filling factor of the plasma layer is also illustrated.