Cylindrical Coordinates Coupled Mode Theory

Author

Arbabi, Amir ; Kang, Young Mo ; Goddard, Lynford L.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA

Volume

46

Issue

12

fYear

2010

Firstpage

1769

Lastpage

1774

Abstract

We present a cylindrical coordinates coupled mode formulation for coupling between two degenerate modes of a traveling wave resonator. The resonator is assumed to have rotational symmetry and therefore two degenerate modes propagating in opposite directions. We analyze coupling of the resonance modes in space due to a perturbation in the resonator and derive first-order coupling equations. We also present an application of the method in modeling the mode coupling in a ring resonator with an integrated distributed Bragg reflector. For the presented structure, the results from coupled mode analysis agree with the finite elements method simulation results, and the method dramatically reduces the simulation time from 2 h to less than 5 min.

Keywords

coupled mode analysis; finite element analysis; integrated optics; optical couplers; optical resonators; perturbation theory; coupled mode analysis; cylindrical coordinates coupled mode theory; degenerate modes; finite elements method; first-order coupling equations; integrated distributed Bragg reflector; resonance mode coupling; ring resonator; rotational symmetry; traveling wave resonator; Couplers; Equations; Finite element methods; Mathematical model; Optical resonators; Resonant frequency; Coupled mode analysis; microresonators;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2010.2068039

Filename

5638355