Transmission and stopband characteristics of one-dimensional photonic crystals

In this work, an analytical investigation and numerical simulation of one-dimensional photonic crystals (1D-PCs) are studied. In the analysis, two different analytical methods are used to determine bandgaps of periodic structure. Namely, plane wave expansion method (PWE) is used to solve eigenvalue equation and generalized scattering matrix method (GSM) is used to calculate reflection and transmission coefficients of the unit cell. In both techniques Bloch theorem is applied to determine dispersion relation of 1D-PC structure for both transverse electric (TE) and transverse magnetic (TM) modes. Simulations are carried out to demonstrate omnidirectional reflection of 1D-PCs. Results show that characteristics of the transmission and stopband can be modified by changing the physical and electrical parameters of 1D-PC as well as the bandwidth of omnidirectional reflector.