4.1.1 Effect of GTM(m, n) parameters

In this subsection, we give the transmission properties of GTM and GF quasiperiodic one-dimensional photonic crystals (1DPCs) which contain

Figure 3.

Transmittance spectrum versus frequencies of hybrid GTM multilayered stack at given parameters: n is set at 2, 3, 4 and 5 for m = 2.

Photonic Quasicrystals for Filtering Application DOI: http://dx.doi.org/10.5772/intechopen.81572

superconductors. We recall that our one dimensional photonic quasicrystal is made of alternating superconductors and dielectrics (SiO2) with nL = 1.45. In particular, the superconductor is assumed to be YBa2Cu3O7 with a critical high-Tc temperature (Tc = 93 K) and a London penetration depth at zero temperature λLð0Þ ¼ λ<sup>0</sup> ¼ 145 nm.

We adopt TMM approach to exhibit the transmittance, band gaps and characteristics of the hybrid GTM and GF photonic quasicrystals.

Figure 3 shows the transmittance spectrum, at normal incident angle for different n values.

We remark that the spectrum give a stacking of similar channels with zero transmission covering the whole frequency range. We also observe that the number of gaps increases with an increase of the lattice parameter n of GTM.

Also, sharp peaks of transmission appear for specific multiple frequencies. All peaks prohibit the stop band gaps and form a fine zone of propagation wave. This zone constitutes a little region of transmissions with small half bandwidth Δf ¼ 1:2 THz. Similarly, the size of the output channels becomes narrow as n increases. Then, a large PBG zone was created. Thus, we note that the characteristics of channel filters are sensitive to lattice parameters of GTM sequence which organized the layers H and L. The similarity of transmission spectrum is caused by the self-similarity of geometrical GTM structures.
