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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 1 — Jan. 1, 2007
  • pp: 84–89

Long-distance propagation of periodic patterns in weakly nonlinear Kerr medium

Nikolai Korneev and Francisco Marroquín  »View Author Affiliations

JOSA B, Vol. 24, Issue 1, pp. 84-89 (2007)

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We investigate the propagation of periodic patterns in one and two dimensions for weak Kerr-type nonlinearity. Nonlinear amplitudes are introduced, which are related to the Fourier harmonics of a wave by polynomials of third and fifth degree. These amplitudes evolve in a particularly simple way and permit easy reconstruction of waveform after propagation. For the one-dimensional case, solutions are quasiperiodic, and solitonlike structures can be identified. For the two-dimensional case, recurrent and chaotic regimes exist depending on lattice type.

© 2006 Optical Society of America

OCIS Codes
(190.5330) Nonlinear optics : Photorefractive optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

Original Manuscript: June 23, 2006
Manuscript Accepted: August 9, 2006

Nikolai Korneev and Francisco Marroquín, "Long-distance propagation of periodic patterns in weakly nonlinear Kerr medium," J. Opt. Soc. Am. B 24, 84-89 (2007)

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