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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 22, Iss. 7 — Jul. 1, 2005
  • pp: 1384–1394

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

Alessandro Ciattoni, Bruno Crosignani, Paolo Di Porto, and Amnon Yariv  »View Author Affiliations


JOSA B, Vol. 22, Issue 7, pp. 1384-1394 (2005)
http://dx.doi.org/10.1364/JOSAB.22.001384


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Abstract

We prove that spatial Kerr solitons, usually obtained in the frame of a nonlinear Schrödinger 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 subwavelength value.

© 2005 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect

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)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-7-1384

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