# Investigating the Influence of Ellipticity on the Purcell and Quality Factors in Planar–Elliptical Bragg Mirrors

## TL;DR

This paper studies how the shape of elliptical microcavities affects their optical performance, showing significant improvements in emission rates and quality factors.

## Contribution

The novel contribution is demonstrating how ellipticity enhances Purcell and Q-factors in microcavities using numerical simulations.

## Key findings

- An enhancement of up to 16 × 10³ in the Purcell factor is achieved for TiO₂-based elliptical microcavities.
- Ellipticity factor ε = 0.4 significantly impacts Purcell and Q-factors at 1550 nm.
- Shorter wavelengths are expected to yield even greater performance improvements.

## Abstract

High-quality factor Q and elliptical cross-section microcavity of small size are described. We present a numerical investigation of the performance of the elliptical microcavity. We design elliptical microcavities to control the emission rate of dipolar emitters and investigate how the ellipticity factor influences the Purcell and Q-factors. We demonstrate an enhancement of up to 16 × 103 in the Purcell factor for TiO2-based mirrors and 8 × 103 for ZnS-based mirrors. A numerical study at 1550 nm also shows that an ellipticity factor (ε = 0.4) could significantly affect the Purcell and Q-factor. These benefits are expected to be even more persuasive in short wavelengths.