Transmission properties of 1D Fibonacci sequence  photonic crystals made up of dispersive SiO₂/TiO₂  thin films in visible region

The transmission properties of the 1D Fibonacci sequence photonic crystals made up of dispersive SiO2 and TiO2 thin films in visible region are investigated by an eigen matrix method, and the results are compared with that without dispersion conditions. The comparison results show that the number of band gaps increase with the increases of the sequence terms. Moreover, the number of band gaps in transmission spectra from initial media in SiO2 thin films are higher than those of from initial media in TiO2 thin films. When the total physical length keeps a constant, the width of the band gap becomes narrower as the increase of the length of SiO2thin film, but the central wavelength of the band gap is a constant. Furthermore, the central wavelength of the band gap becomes shorter and the width of the band gap becomes narrower as the increase of the incident angle. When the dispersion is ignored, both the widest band gap and the central wavelength of the widest band gap have been increased. The conclusions can contribute to the study on the effect of dispersion on photonic crystals.