Generalized Full-Vector Multi-Mode Matching Analysis of Whispering-Gallery Microcavities

TL;DR

This paper presents a comprehensive 3D multi-mode matching method for whispering-gallery microcavities, enabling accurate modeling of mode coupling and waveguide integration, advancing microcavity design and integration techniques.

Contribution

It introduces a full-vectorial multi-mode matching approach that improves accuracy over previous methods and models multi-mode coupling in microcavities for better integration.

Findings

Enhanced accuracy in mode coupling analysis

Effective modeling of waveguide-to-cavity coupling

Proposed hybrid integration scheme

Abstract

We outline a full-vectorial three-dimensional multi-mode matching technique in a cylindrical coordinate system that addresses the mutual coupling among multiple modes copropagating in a perturbed whispering-gallery-mode microcavity. In addition to its superior accuracy in respect to our previously implemented single-mode matching technique, this current technique is suitable for modelling waveguide-to-cavity coupling where the influence of multi-mode coupling is non-negligible. Using this methodology, a robust scheme for hybrid integration of a microcavity onto a silicon-on-insulator platform is proposed.