Transmission spectra in graphene-based octonacci one-dimensional photonic quasicrystals

Effects of graphene on light transmission spectra in Dodecanacci photonic quasicrystals

“…2, for the same generations of Dodecanacci sequence, i.e., (e) fifth generation, (f) zoom of fifth generation for the reduced range of frequency 0:99 � ω=ω 0 � 1:05, (g) and (h) correspond to sixth and seventh generations for 1 � ω= ω 0 � 1:04 and 1:005 � ω=ω 0 � 1:035, respectively. The presence of graphene at the interfaces between different media causes the loss of the mirror symmetry on the transmission spectra around the mid-gap reduced frequency ω=ω 0 ¼ 1, although the quarter-wavelength condition was considered, as it was deeply discussed on previous works [14,18,19]. The central frequency has now a new value of reduced frequency around 1.02.…”

“…Note that transmission scales on (g) and (h) are from 0 to 0.5 and from 0 to 0.05, respectively, as a consequence of the increase in the number of generations, which also corresponds to an increase in the amount of graphene in the structure. This result implies that a rapid decrease in light transmission is observed, as a result of an enormous increase in absorption, regarding the high absorption coefficient due to graphene [14]. Now, we treat the cases of obliquely incident light waves.…”

“…where the matrix M CA represents the waves crossing the interface CjA and the M C is the propagation matrix in the medium C (for more details, see Ref. [14]). Applying Maxwell's boundary condition for all interfaces, we have the transfer matrix for the whole multilayered system, M ¼…”

“…Also, the propagation matrix can be generalized for any layer γ (γ ¼ A or B), and it is given by Ref. [14],…”

Optimized Omnidirectional High-Reflectance Using Octonacci Photonic Crystal for Thermographic Sensing Applications

“…The studied photonic structures are arranged according to the quasi-periodic Octonacci sequence: [10,11]. Figure 1 shows a schematic of the fourth Octonacci structure which is surrounded by air.…”