Analytic Theory of Strongly-Coupled Microring Resonators

Author

Tsay, Alan ; Van, Vien

Author_Institution

Electr. Eng. Dept., Univ. of Alberta, Edmonton, AB, Canada

Volume

47

Issue

7

fYear

2011

fDate

7/1/2011 12:00:00 AM

Firstpage

997

Lastpage

1005

Abstract

Analytic theory for strongly-coupled microring resonators of general 2-D coupling topologies is developed based on the field coupling formalism. The theory allows simple characteristic equation for coupled microring resonators (CMR) of general coupling topology to be formulated, from which closed form analytical expressions of the transmission responses of the device can be derived. It is also shown that any CMR structure is characterized by a field coupling matrix which can be decomposed into a direct and indirect coupling term. The indirect coupling matrix can give rise to prominent strong coupling effects, such as indirect coupling induced transparency, that are not observed in weakly coupled microring resonators.

Keywords

micro-optics; optical couplers; optical resonators; 2D coupling topology; analytic theory; field coupling formalism; indirect coupling induced transparency; strongly-coupled microring resonators; transmission response; Couplings; Equations; Junctions; Optical resonators; Symmetric matrices; Topology; Transmission line matrix methods; Coupled microring resonators; field coupling analysis; microring filters;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2011.2149498

Filename

5896009