Octonacci Photonic Quasicrystals

Abstract

We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of SiO${}_2$($A$) and TiO${}_2$($B$) materials, organized following the Octonacci sequence, where the $n$th-stage of the multilayer $S_n$ is given by the rule $S_n=S_{n-1}{S}_{n-2}{S}_{n-1}$, for $n\ge 3$ and with $S_1=A$ and $S_2=B$. The expression for transmittance was obtained by employing a theoretical calculation based in the transfer-matrix method. To normally incident waves, we observe that, for a same generation, the transmission spectra for TE and TM waves are equal, at least qualitatively, and they present a scaling property where a self-similar behavior is obtained, as an evidence that these spectra are fractals. The spectra show regions where the omnidirectional band gaps emerges for specific generations of Octonacci photonic structure, except to TM waves. For TE waves, we note that all of them have the almost same width, for different generations. We also report the localization of modes as a consequence of the quasiperiodicity of the heterostructure

Submitted to Optical Materials

References in corpus (1)

• Spectral and Diffusive Properties of Silver-Mean Quasicrystals in 1,2, and 3 Dimensions

Cited by in corpus (4)

• Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures
• Light propagation in quasiperiodic dieletric multilayers separated by graphene
• Octonacci Photonic Crystals with Negative Refraction Index Materials
• Critical behavior of the 2D Ising model modulated by the Octonacci sequence