Light Transmission Through Metallic-Mean Quasiperiodic Stacks with Oblique Incidence

TL;DR

This study investigates how light transmits through quasiperiodic multilayer stacks with metallic-mean arrangements, revealing unique transmission bands and polarization-dependent effects influenced by incidence angle and refractive index ratios.

Contribution

It provides new insights into the transmission properties of quasiperiodic stacks, highlighting the effects of metallic mean ratios and polarization on photonic band structures.

Findings

Additional transmission bands appear within the photonic gap.

Transmission bands bend with increasing incidence angle depending on metallic mean.

Near Brewster's angle, p-polarized light shows near-complete transmission.

Abstract

The propagation of s- and p-polarized light through quasiperiodic multilayers, consisting of layers with different refractive indices, is studied by the transfer matrix method. In particular, we focus on the transmission coefficient of the systems in dependency on the incidence angle and on the ratio of the refractive indices. We obtain additional bands with almost complete transmission in the quasiperiodic systems at frequencies in the range of the photonic band gap of a system with a periodic alignment of the two materials for both types of light polarization. With increasing incidence angle these bands bend towards higher frequencies, where the curvature of the transmission bands in the quasiperiodic stack depends on the metallic mean of the construction rule. Additionally, in the quasiperiodic systems for p-polarized light the bands show almost complete transmission near the Brewster's angle in contrast to the results for s-polarized light. Further, we present results for the influence of the refractive indices at the midgap frequency of the periodic stack, where the quasiperiodicity was found to be most effective.