Photonic Properties of Metallic-Mean Quasiperiodic Chains

TL;DR

This study investigates how metallic-mean quasiperiodic sequences influence light transmission in layered media, revealing unique transmission properties and band structures compared to periodic systems, with potential applications in photonic device design.

Contribution

It provides a detailed analysis of light propagation in metallic-mean quasiperiodic stacks, highlighting their distinct transmission characteristics and the effects of incidence angle and refractive index ratios.

Findings

Complete transmission occurs over a wide range of indices for small angles.

Additional moderate transmission bands appear near photonic band gaps.

Quasiperiodicity mainly affects midgap frequency regions.

Abstract

The light propagation through a stack of two media with different refractive indices, which are aligned according to different quasiperiodic sequences determined by metallic means, is studied using the transfer matrix method. The focus lies on the investigation of the influence of the underlying quasiperiodic sequence as well as the dependence of the transmission on the frequency, the incidence angle of the light wave and different ratios of the refractive indices. In contrast to a periodically aligned stack we find complete transmission for the quasiperiodic systems for a wide range of different refraction indices for small incidence angles. Additional bands of moderate transmission occur for frequencies in the range of the photonic band gaps of the periodic system. Further, for fixed indices of refraction we find a range of almost perfect transmission for angles close to the angle of total reflection, which is caused by the bending of photonic transmission bands towards higher frequencies for increasing incidence angles. Comparing with the results of a periodic stack the quasiperiodicity seems to have only an influence in the region around the midgap frequency of a periodic stack.