Comparative study of optical properties of the one-dimensional multilayer Period- Doubling and Thue-Morse quasi-periodic photonic crystals

The last decades have witnessed the growing interest in the use of photonic crystal as a new material that can be used to control electromagnetic wave. Actually, not only the periodic structures but also the quasi-periodic systems have become significant structures of photonic crystals. This work deals with optical properties of dielectric Thue-Morse multilayer and Period-Doubling multilayer generated by: Thue-Morse: H HL,L LH → → Period-Doubling: H HL,L HH → → Where H and L are two elementary layers with refractive indices nL = 1.45 and nH = 2.3 respectively, and a thickness on the order of λ/4 where λ is the wavelength of the light. In the following numerical investigation, we chose SiO2 (L) and TiO2 (H) as two elementary layers. We use the so-called Transfer Matrix Method (TMM) to determine the reflection spectra of the structures. Based on the representation of the transmittance spectra in the visible range a comparative analysis depending on the iteration number, number of layers and incidence angle is presented. 1