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Perfect optical solitons: spatial Kerr solitons as exact solutions of Maxwell's equations

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.

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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.

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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).
Subject Keywords:Kerr effect; Maxwell's equations
Issue or Number:7
Record Number:CaltechAUTHORS:CIAjosab05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4994
Deposited By: Lindsay Cleary
Deposited On:18 Sep 2006
Last Modified:02 Oct 2019 23:18

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