CaltechAUTHORS
  A Caltech Library Service

Coupled mode analysis of the photonic crystal waveguide

Choi, John M. and Xu, Yong and Yariv, Amnon (2003) Coupled mode analysis of the photonic crystal waveguide. In: Photonic Crystal Materials and Devices. Proceedings of SPIE. No.5000. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 144-151. ISBN 0819448001. https://resolver.caltech.edu/CaltechAUTHORS:20180710-161254226

[img] PDF - Published Version
See Usage Policy.

287Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180710-161254226

Abstract

Starting from an intuitive picture of photons bouncing back and forth within a slab of a uniform medium surrounded by photonic crystal (PC) layers, we develop a coupled mode formalism for the analysis of a PC waveguide. The modal solution in the core is given by counter-propagating waves while the cladding field is derived from a modified coupled mode formalism. This coupled mode approach is used to analyze the dispersion and loss of the PC waveguide. Although coupled mode theory is usually applied to structures with a small index contrast perturbation, we find that our coupled mode formalism with an empirical coupling constant can be used to model a large index contrast PC waveguide. A single constant is used to analyze the dispersion and the loss of a two dimensional PC waveguide, a GaAs substrate with air holes. Our results are corroborated with a two dimensional finite-difference time-domain (FDTD) simulation and we find good quantitative agreement between the coupled mode theory and the FDTD analysis.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.480061DOIArticle
Additional Information:© 2003 Society of Photo-Optical Instrumentation Engineers (SPIE). The authors would like to thank AFOSR (H. Schlossberg), DARPA (R. Athale), and ONR (Y. S. Park) for their generous support of this work.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:photonic crystal waveguide, coupled mode theory, propagation loss, numerical analysis
Series Name:Proceedings of SPIE
Issue or Number:5000
Record Number:CaltechAUTHORS:20180710-161254226
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180710-161254226
Official Citation:John M. Choi, Yong Xu, Amnon Yariv, "Coupled mode analysis of the photonic crystal waveguide", Proc. SPIE 5000, Photonic Crystal Materials and Devices, (9 July 2003); doi: 10.1117/12.480061; https://doi.org/10.1117/12.480061
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87741
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:10 Jul 2018 23:20
Last Modified:03 Oct 2019 19:59

Repository Staff Only: item control page