Effects of mirror symmetry on the transmission fingerprints of quasiperiodic photonic multilayers

Abstract

We address the transmission properties of light waves through symmetric Fibonacci, Thue-Morse and double-period photonic multilayers, i.e., a binary one-dimensional quasiperiodic structure made up of two different dielectric materials (more specifically SiO 2 and TiO 2 ), in quarter wavelength condition, presenting mirror symmetry. The optical spectra are calculated by using a theoretical model based on the transfer matrix approach in normal incidence geometry. In our results we present the self-similar features of the spectra and we also present the optical fingerprints through a return map of the transmission coefficients. We discuss these optical fingerprints and compare them with results of previous works, on similar quasiperiodic systems, in the absence of mirror symmetry.

Exploiting aperiodic designs in nanophotonic devices

“…On the other hand, the propagation of light waves in doubleperiod multilayers with mirror symmetry has been numerically studied by considering sequences of the form S j = S j S −1 j . The obtained results suggest that the main effect of introducing mirror symmetry is to enhance the number of self-similar features in the transmission spectra [104].…”

“…A{B[A{A[B/B]A}A]B}A). This structural correlation enhances resonant transmission effects leading to the presence of additional PBGs in a given frequency interval (as compared with those present in an aperiodic multilayer of similar length without mirror symmetry) [104]. This interesting feature was used to manipulate the resonant transmission properties at specific wavelengths by designing and growing a symmetric Fibonacci/Fibonacci −1 multilayer (the symbol −1 here indicates the letters reversal operation) based on TiO 2 and SiO 2 dielectric layers.…”

Acoustic wave localization in one-dimensional Fibonacci phononic structures with mirror symmetry

“…In a recent past, a new type of quasi-periodic structures was considered including the mirror symmetry. [33][34][35] Symmetrical Fibonacci sequences with mirror symmetry were studied in photonic aperiodic dielectric multilayers. 33,34 The symmetric Fibonacci sequence is generated in the following way.…”