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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1644–1649

Semiclassical quantization of the electromagnetic field confined in a Kerr-effect nonlinear cavity

J. C. Martinez and Anton  »View Author Affiliations


JOSA B, Vol. 23, Issue 8, pp. 1644-1649 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001644


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Abstract

We obtain stationary solution for optical solitons propagating in a Kerr-effect nonlinear cavity using elliptic functions and quantize them semiclassically. On invoking box boundary conditions, a constraint relating the number of particles, wavelength, and a parameter associated with the elliptic function emerges. This constraint fundamentally modifies the binding energy of the soliton and lends the system a rich plethora of solution types with diverse behavior as a function of excitation number. We also speculate on how the bright soliton can thermalize through a path of frequency conversion.

© 2006 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: December 19, 2005
Revised Manuscript: February 13, 2006
Manuscript Accepted: February 24, 2006

Citation
J. C. Martinez and Anton, "Semiclassical quantization of the electromagnetic field confined in a Kerr-effect nonlinear cavity," J. Opt. Soc. Am. B 23, 1644-1649 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-8-1644

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