Optical gaps, mode patterns and dipole radiation in two-dimensional aperiodic photonic structures

TL;DR

This paper theoretically investigates the optical properties of two-dimensional aperiodic photonic structures, focusing on band-gap formation, mode localization, and emission pattern engineering using rigorous Mie theory calculations.

Contribution

It introduces a detailed theoretical analysis of optical behaviors in aperiodic photonic structures based on Fibonacci, Thue-Morse, and Rudin-Shapiro sequences, including their LDOS and emission control capabilities.

Findings

Identification of band-gap formation in aperiodic structures

Analysis of mode localization properties

Potential for engineering emission patterns in photonic devices

Abstract

Based on the rigorous generalized Mie theory solution of Maxwell's equations for dielectric cylinders we theoretically investigate the optical properties of two-dimensional deterministic structures based on the Fibonacci, Thue-Morse and Rudin-Shapiro aperiodic sequences. In particular, we investigate band-gap formation and mode localization properties in aperiodic photonic structures based on the accurate calculation of their Local Density of States (LDOS). In addition, we explore the potential of photonic structures based on aperiodic order for the engineering of radiative rates and emission patterns in Erbium-doped silicon-rich nitride photonic structures.