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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 3, Iss. 7 — Jul. 1, 1986
  • pp: 1018–1024

Spectral approach to pulse propagation in a dispersive nonlinear medium

C. Pask and A. Vatarescu  »View Author Affiliations


JOSA B, Vol. 3, Issue 7, pp. 1018-1024 (1986)
http://dx.doi.org/10.1364/JOSAB.3.001018


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Abstract

The nonlinear physical processes influencing pulse propagation are emphasized by analyzing equations for the pulse spectrum amplitude and phase. A constant pulse is maintained when it has the correct form necessary to suppress the four-photon mixing processes, so that the amplitude is constant and the total optical Kerr effect counterbalances the frequency dependence of the linear dispersion, thus preventing variable frequency-dependent terms in the phase. The effects are demonstrated explicitly and offer an alternative to the self-phase-modulation picture based on the equivalent nonlinear Schrödinger equation. The fundamental soliton is immediately obtained. Constants associated with pulse propagation in a nonlinear medium are related to moments of the pulse spectrum. The constraints on pulse shape and magnitude are discussed, and the effects of power absorption are examined.

© 1986 Optical Society of America

History
Original Manuscript: November 15, 1985
Manuscript Accepted: February 13, 1986
Published: July 1, 1986

Citation
C. Pask and A. Vatarescu, "Spectral approach to pulse propagation in a dispersive nonlinear medium," J. Opt. Soc. Am. B 3, 1018-1024 (1986)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-3-7-1018

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