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
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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 | ||||||||
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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. | ||||||||
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Subject Keywords: | photonic crystal waveguide, coupled mode theory, propagation loss, numerical analysis | ||||||||
Series Name: | Proceedings of SPIE | ||||||||
Issue or Number: | 5000 | ||||||||
DOI: | 10.1117/12.480061 | ||||||||
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: | 15 Nov 2021 20:51 |
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