Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures

TL;DR

This paper develops a boundary integral equation model to analyze the spectral behavior of PT-symmetric coupled microresonators in photonics, incorporating realistic material properties and exploring array configurations.

Contribution

It introduces a novel boundary integral equation approach for PT-symmetric microresonator structures, including analysis of realistic gain/loss effects and array behaviors.

Findings

BIE model effectively predicts spectral properties of PT resonators.

Realistic gain/loss materials influence PT symmetry operation.

Array of PT microresonators exhibits unique collective behaviors.

Abstract

The spectral behaviour and the real-time operation of Parity-Time (PT PT) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gain/loss material properties on the operation of the PT PT-symmetric coupled resonators is also investigated using the time-domain Transmission-Line Modelling (TLM) method. The BIE method is also used to study the behaviour of an array of PT-microresonator photonic molecules.