First-principles method for high-$Q$ photonic crystal cavity mode calculations

TL;DR

This paper introduces a first-principles frequency-domain method called FAR for efficiently calculating the radiation properties and quality factors of ultra-high-Q photonic crystal cavities, enabling rapid and precise design.

Contribution

The paper presents a novel frequency-domain approach that significantly speeds up the computation of cavity radiation properties and offers a simple design rule for far-field patterns.

Findings

FAR computes radiation patterns and Q factors approximately 100 times faster than FDTD methods.

The method accurately predicts the far-field radiation pattern of photonic crystal cavities.

Provides a straightforward rule for engineering cavity radiation patterns.

Abstract

We present a first-principles method to compute radiation properties of ultra-high quality factor photonic crystal cavities. Our Frequency-domain Approach for Radiation (FAR) can compute the far-field radiation pattern and quality factor of cavity modes $\sim 100$ times more rapidly than conventional finite-difference time domain calculations. It also provides a simple rule for engineering the cavity's far-field radiation pattern.