Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation

TL;DR

This paper introduces an efficient computational framework for resonance modes in photonic waveguides using AAA rational approximation, focusing on relevant modes and reducing post-processing complexity.

Contribution

The paper presents a novel AAA rational approximation-based method for selective and accurate computation of resonance modes in microstructured photonic waveguides.

Findings

Efficient computation of fundamental resonance modes in photonic waveguides.

Elimination of the need for mode filtering in post-processing.

Validated approach using a hollow-core photonic crystal fiber example.

Abstract

We present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the application of special light sources. It allows one to calculate only relevant modes, such as the fundamental resonance modes localized in the central core of the waveguides. We demonstrate the framework using an example from the literature, a hollow-core photonic crystal fiber. This waveguide supports many other modes, such as cladding modes and higher-order modes. These nonrelevant modes are not calculated, so that challenging post-processing with mode filtering is not required.