Effect of standard deviation, strength of magnetic field and electron density on the photonic band gap of an extrinsic disorder plasma photonic structure

Transmission properties of electromagnetic waves within microwave region of the one-dimensional random extrinsic plasma photonic crystals were computed using the transfer matrix method. The layers thicknesses of the extrinsic random photonic structure follow a Gaussian distribution. Compared with the periodic extrinsic photonic crystal, wider photonic band gaps (PBGs) were found in case of random extrinsic plasma photonic crystals with few resonant peaks. The PBGs are much wider while the randomness was increased and the number and the strength of resonant peaks were enhanced. The above observations were confirmed through analysis of histogram of normalized average transmissions for four different values of standard deviation with one thousand random samples for each group. The normalized average transmission was controlled by changing the strength of external magnetic field and the electron density of magnetized cold plasma. These features of disordered extrinsic plasma photonic structures would have potential applications such as omnidirectional reflectors and random multichannel filters with lower and higher rate of disorder.