Cylindrical coordinates coupled mode theory

Amir Arbabi, Young Mo Kang, Lynford L. Goddard

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number5638355
Pages (from-to)1769-1774
Number of pages6
JournalIEEE Journal of Quantum Electronics
Volume46
Issue number12
DOIs
StatePublished - Nov 29 2010

Keywords

  • Coupled mode analysis
  • microresonators

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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