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Algebraic and geometric space-time analogies in nonlinear optical pulse propagation

Mookherjea, Shayan and Yariv, Amnon (2001) Algebraic and geometric space-time analogies in nonlinear optical pulse propagation. Optics Letters, 26 (17). pp. 1323-1325. ISSN 0146-9592.

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We extend recently developed algebraic space time analogies for the dispersive and nonlinear propagation of optical breathers. Geometrical arguments can explain the similarity of evolutionary behavior between spatial and temporal phenomena even when strict algebraic translation of solutions may not be possible. This explanation offers a new set of tools for understanding and predicting the evolutionary structure of self-consistent Gaussian breathers in nonlinear optical fibers.

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Additional Information:© Copyright 2001 Optical Society of America. Received March 13, 2001. We acknowledge useful discussions with D. S. Cohen of the Department of Applied and Computational Mathematics at the California Institute of Technology. This work was supported by the U.S. Office of Naval Research and the U.S. Air Force Office of Scientific Research. Correction: S. Mookherjea and A. Yariv, "Algebraic and geometric space-time analogies in nonlinear optical pulse propagation: errata," Opt. Lett. 27, 137-137 (2002).
Subject Keywords:Fiber optics communications; Nonlinear optical fibers; Pulse propagation and solitons
Issue or Number:17
Record Number:CaltechAUTHORS:MOOol01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5252
Deposited By: Lindsay Cleary
Deposited On:06 Oct 2006
Last Modified:02 Oct 2019 23:20

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