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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.

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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
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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.
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
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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;
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87741
Deposited By: George Porter
Deposited On:10 Jul 2018 23:20
Last Modified:15 Nov 2021 20:51

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