Omnidirectional reflection from deformed quasiperiodic one-dimensional photonic crystals in high frequency

Transmission spectra in quasiperiodic multilayered band gap structures in high frequency are calculated by using a theoretical model based on Abeles method at any incidence angle and both polarisations S and P. It has been found that the propagation of electromagnetic waves is forbidden in some frequency bands. The forbidden gap included microwave region has been observed for the twelve orders of Fibonacci sequence.This result is compared by periodic sequence. Forbidden gap can be generated in this frequency band by stacking together layers of different dielectric materials A and B according to simple rules. For simplicity, the thicknesses dA,B of the two materials, Roger (layer A) and air (layer B), have been chosen to satisfy the Bragg condition. We noted unusual physical properties like the formation of large photonic band gaps for the tow polarizations S and P in high frequency band width. The study of the deformed Fibonacci stack so that the coordinates y of the deformed object were determined through the coordinates x of the Fibonacci stack in accordance with the following rule y=xk+1 leads to an omnidirectional high reflector band in the desired wavelength spectral range.