Octonacci Photonic Crystals with Negative Refraction Index Materials

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.

This paper has been withdrawn by the author due to it be an uncorrected proof

References in corpus (4)

• Beam shaping by a layered structure with left-handed materials
• Octonacci Photonic Quasicrystals
• Wave propagation through Cantor-set media: Chaos, scaling, and fractal structures
• Nonlinear Photonic Quasicrystals for Novel Optical Devices

Cited by in corpus (2)

• Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures
• Critical behavior of the 2D Ising model modulated by the Octonacci sequence