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Matrix analysis of microring coupled-resonator optical waveguides

Poon, Joyce K. S. and Scheuer, Jacob and Mookherjea, Shayan and Paloczi, George T. and Huang, Yanyi and Yariv, Amnon (2004) Matrix analysis of microring coupled-resonator optical waveguides. Optics Express, 12 (1). pp. 90-103. ISSN 1094-4087. http://resolver.caltech.edu/CaltechAUTHORS:POOoe04

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Abstract

We use the coupling matrix formalism to investigate continuous-wave and pulse propagation through microring coupled-resonator optical waveguides (CROWs). The dispersion relation agrees with that derived using the tight-binding model in the limit of weak inter-resonator coupling. We obtain an analytical expression for pulse propagation through a semi-infinite CROW in the case of weak coupling which fully accounts for the nonlinear dispersive characteristics. We also show that intensity of a pulse in a CROW is enhanced by a factor inversely proportional to the inter-resonator coupling. In finite CROWs, anomalous dispersions allows for a pulse to propagate with a negative group velocity such that the output pulse appears to emerge before the input as in “superluminal” propagation. The matrix formalism is a powerful approach for microring CROWs since it can be applied to structures and geometries for which analyses with the commonly used tight-binding approach are not applicable.


Item Type:Article
Additional Information:© 2004 Optical Society of America. Received 14 October 2003; revised 19 December 2003; accepted 22 December 2003. The authors thank Dr. Y. Xu, J. Choi, W. Green, and W. Liang for helpful discussions. J. Poon acknowledges support from the Natural Sciences and Research Council of Canada. The support of DARPA, the Office of Naval Research, and the Air Force Office of Scientific Research are gratefully acknowledged.
Subject Keywords:OCIS codes: (230.5750) Resonators; (230.7370) Waveguides; (230.3120) Integrated optics devices
Record Number:CaltechAUTHORS:POOoe04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:POOoe04
Alternative URL:http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-1-90
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:288
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:18 May 2005
Last Modified:08 Dec 2014 18:48

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