Published September 1, 2001
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Journal Article
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Algebraic and geometric space-time analogies in nonlinear optical pulse propagation
- Creators
- Mookherjea, Shayan
- Yariv, Amnon
Abstract
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.
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).Files
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Additional details
- Eprint ID
- 5252
- Resolver ID
- CaltechAUTHORS:MOOol01
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2006-10-06Created from EPrint's datestamp field
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2019-10-02Created from EPrint's last_modified field