Octonacci Photonic Crystals with Negative Refraction Index Materials

TL;DR

This paper studies the optical transmission properties of one-dimensional Octonacci photonic quasicrystals composed of SiO2 and metamaterials, revealing unique spectral features and full transmittance regions influenced by incident angle and material properties.

Contribution

It introduces a novel analysis of Octonacci structured photonic crystals with negative refraction index materials, highlighting their unique transmission spectra and absence of optical band gaps.

Findings

Spectra lack self-similarity and mirror symmetry for normal incidence.

Regions of full transmittance are identified at zero incident angle.

Transmission spectra are influenced by dispersive properties of metamaterials.

Abstract

We investigate the optical transmission spectra for $s$-polarized (TE) and $p$-polarized (TM) waves in one-dimensional photonic quasicrystals on a quasiperiodic multilayer structure made up by alternate layers of SiO$_{2}$ and \textit{metamaterials}, organized by following the Octonacci sequence. Maxwell's equations and the transfer-matrix technique are used to derive the transmission spectra for the propagation of normaly and obliquely incident optical fields. We assume Drude-Lorentz-type dispersive response for the dielectric permittivity and magnetic permeability of the metamaterials. For normally incident waves, we observe that the spectra does not have self-similar behavior or mirror symmetry and it also features the absence of optical band gap. Also for normally incident waves, we show regions of full transmittance when the incident angle $\theta_{C} = 0^{\circ}$ in a particular frequency range.