Title :
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
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2010.2068039
