Photonic transmission spectra in an extrinsic semiconductor based Gaussian random multilayer

Abstract In the present study, the transmission properties of one-dimensional extrinsic aperiodic/periodic photonic crystal n-GaAs is investigated by using the external magnetic field for electromagnetic waves at an oblique angle. The transfer matrix method is used to tackle the physical problem, and Gaussian distribution is employed to develop randomness in the thickness of layers. The effects of the magnetic field, the standard deviation of the Gaussian distribution, angle of incidence, and permeability are analyzed for the photonic bandgaps and also validated in the case of periodic structures. The numerical results are verified with the envelope of the histogram in the case of disorder structures. The study reveals that the photonic band gaps are red-shifted by increasing the magnetic field, and the wider PBGs with negligible transmission peaks have appeared in the case of the randomly magnetized extrinsic photonic crystal. The present model of photonic crystals can be used technically in various semiconductor photonic applications like the design of tunable optical reflector and multi-channel filter.