# Study on the Purcell Effect and Photoluminescence Properties of Gold–Titanium Dioxide Quasiperiodic Multilayers and Cavities

## TL;DR

This paper explores how quasiperiodic gold-titanium dioxide layers affect light emission and efficiency, offering new insights for semiconductor design.

## Contribution

The study introduces a novel analysis of Purcell factors in quasiperiodic multilayers and cavities, revealing the role of non-radiative losses.

## Key findings

- The Purcell factor is mainly influenced by non-radiative components under near-field excitation.
- Cavities enhance the radiative Purcell factor under specific polarization and wavelength conditions.
- Variations in non-radiative losses in metallic layers explain differences in Purcell factor behavior.

## Abstract

This work studies the Purcell effect of two quasiperiodic multilayers of gold and titanium dioxide following the Thue–Morse and Fibonacci sequence, respectively. We systematically investigated the impacts of polarization direction, dipole height, and wavelength on the Purcell factor. Additionally, we compared the normalized field distribution profiles across all multilayer structures. Concurrently, under varying polarizations, we computed the radiative part of the Purcell factor, photoluminescence at the reflection and transmission side of multilayers, respectively. Our findings indicate that under near-field excitation conditions, the Purcell factor is predominantly governed by its non-radiative component rather than the radiative one. We attribute the observed discrepancies in the Purcell factor to variations in the intensity and spatial distribution of non-radiative losses within the metallic components of the multilayers. This mechanism provides a robust physical foundation for exploring and extending the applications of photonic quasicrystals in the modulation of nanoscale light–matter interactions. Furthermore, we examined cavities constructed from symmetric multilayers. Under z-polarization and long-wavelength conditions, the cavity effect was observed to enhance the radiative part of the Purcell factor, thereby further boosting spontaneous emission efficiency. This work offers novel insights into the design of semiconductor devices with improved quantum emission efficiency and photoluminescence.