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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 15 — Jul. 26, 2004
  • pp: 3297–3306

Spectral limits for periodic pattern propagation in Kerr media

N. Korneev and E. Morales Rodríguez  »View Author Affiliations

Optics Express, Vol. 12, Issue 15, pp. 3297-3306 (2004)

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We consider the propagation of periodic waves with initially narrow spatial spectra in a Kerr medium. The set of constants of motion closely related to the order amplitudes is introduced. It is shown that the spatial spectrum remains uniformly narrow with propagation for both self-focusing and self-defocusing nonlinearity. In addition, for sufficiently weak nonlinearity, initially strong orders always remain strong. Thus the problem is shown to be essentially finite dimensional and well approximated by a proper set of coupled ordinary differential equations.

© 2004 Optical Society of America

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

ToC Category:
Research Papers

Original Manuscript: May 17, 2004
Revised Manuscript: June 21, 2004
Published: July 26, 2004

N. Korneev and E. Rodriguez, "Spectral limits for periodic pattern propagation in Kerr media," Opt. Express 12, 3297-3306 (2004)

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