Ciattoni, Alessandro and Crosignani, Bruno and Di Porto, Paolo and Yariv, Amnon (2005) Perfect optical solitons: spatial Kerr solitons as exact solutions of Maxwell's equations. Journal of the Optical Society of America B, 22 (7). pp. 1384-1394. ISSN 0740-3224. doi:10.1364/JOSAB.22.001384. https://resolver.caltech.edu/CaltechAUTHORS:CIAjosab05
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Abstract
We prove that spatial Kerr solitons, usually obtained in the frame of a nonlinear Schrodinger equation valid in the paraxial approximation, can be found in a generalized form as exact solutions of Maxwell's equations. In particular, they are shown to exist, both in the bright and dark version, as TM, linearly polarized, exactly integrable one-dimensional solitons and to reduce to the standard paraxial form in the limit of small intensities. In the two-dimensional case, they are shown to exist as azimuthally polarized, circularly symmetric dark solitons. Both one- and two-dimensional dark solitons exhibit a characteristic signature in that their asymptotic intensity cannot exceed a threshold value in correspondence of which their width reaches a minimum sub-wavelength value.
Item Type: | Article | |||||||||
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Additional Information: | © 2005 Optical Society of America. Received October 25, 2004; revised manuscript received January 10, 2005; accepted April 18, 2005. This research has been funded by the Istituto Nazionale di Fisica della Materia through the “Solitons embedded in holograms,” the Italian Basic Research Fund “Space-time nonlinear effects” projects, and the Air Force Office of Scientific Research (H. Schlossberg). | |||||||||
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Subject Keywords: | Kerr effect; Maxwell's equations | |||||||||
Issue or Number: | 7 | |||||||||
DOI: | 10.1364/JOSAB.22.001384 | |||||||||
Record Number: | CaltechAUTHORS:CIAjosab05 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CIAjosab05 | |||||||||
Official Citation: | Alessandro Ciattoni, Bruno Crosignani, Paolo Di Porto, and Amnon Yariv, "Perfect optical solitons: spatial Kerr solitons as exact solutions of Maxwell's equations," J. Opt. Soc. Am. B 22, 1384-1394 (2005) | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 4994 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Lindsay Cleary | |||||||||
Deposited On: | 18 Sep 2006 | |||||||||
Last Modified: | 08 Nov 2021 20:21 |
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