Analysis of Effective Plasma Frequency in a Magnetized Extrinsic Photonic Crystal

The effective plasma frequency (EPF) in an extrinsic photonic crystal is theoretically analyzed. The extrinsic PC is a single homogeneous doped semiconductor ( n-GaAs) that is influenced by an externally and periodically applied magnetic field. Based on the calculated photonic band structure, we investigate the magnetic-field dependence of EPF. The results reveal that the EPF will be smaller in the absence of the magnetic field and lowered down when the magnetic field increases. The EPF is shown to be a decreasing function of the filling factor of the magnetized region. Additionally, investigation of the first passband and band gap is also given. The study illustrates that such an extrinsic PC possesses tunable optical properties that are of technical use in semiconductor photonic applications.