Perfect optical solitons: spatial Kerr solitons as exact solutions of Maxwell's equations
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.
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).Attached Files
Published - CIAjosab05.pdf
Accepted Version - 0410257.pdf
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Additional details
- Eprint ID
- 4994
- Resolver ID
- CaltechAUTHORS:CIAjosab05
- Istituto Nazionale di Fisica Nucleare (INFN)
- Italian Basic Research Fund
- Air Force Office of Scientific Research (AFOSR)
- Created
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2006-09-18Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field