Multimode circular integrated optical microresonators: Coupled mode theory modeling

TL;DR

This paper presents a frequency domain coupled mode theory model for multimode circular microresonators, enabling efficient spectral response predictions for integrated optical filters without fitting parameters.

Contribution

It introduces an analytical coupled mode theory framework combining modes of bent waveguides and straight channels, providing a parameter-free, efficient modeling approach for microresonator spectral responses.

Findings

Model accurately predicts spectral response with few dominant modes.

Comparison shows good agreement with rigorous numerical simulations.

Efficient and parameter-free modeling method for integrated optics applications.

Abstract

A frequency domain model of multimode circular microresonators for filter applications in integrated optics is investigated. Analytical basis modes of 2D bent waveguides or curved interfaces are combined with modes of straight channels in a spatial coupled mode theory framework. Free of fitting parameters, the model allows to predict quite efficiently the spectral response of the microresonators. It turns out to be sufficient to take only a few dominant cavity modes into account. Comparisons of these simulations with computationally more expensive rigorous numerical calculations show a satisfactory agreement.