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Models for few-cycle optical solitons

H. LEBLOND1,* , D. MIHALACHE2

Affiliation

  1. Laboratoire de Photonique d’Angers, Université d’Angers, 2 Bd Lavoisier, 49000 Angers, France
  2. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), Department of Theoretical Physics, 407 Atomistilor, Magurele-Bucharest 077125, Romania

Abstract

The propagation of few-cycle optical pulses (FCPs) in nonlinear media can be described by means of a model of modified Korteweg-de Vries-sine Gordon (mKdV-sG) type. This model has in some special situations the advantage of being 'integrable', which allows us to study the interactions between FCPs. In addition, it is very general: we show that all other non-slowly varying envelope approximation models of FCP propagation which can be found in the literature, especially the so-called 'short pulse equation', are in fact approximations or special cases of the mKdV-sG model. Finally, an analogous model valid in the case of a quadratic nonlinearity will be discussed..

Keywords

Solitons, Envelope approximation method, Nonlinearity.

Submitted at: Dec. 15, 2009
Accepted at: Jan. 20, 2010

Citation

H. LEBLOND, D. MIHALACHE, Models for few-cycle optical solitons, Journal of Optoelectronics and Advanced Materials Vol. 12, Iss. 1, pp. 1-5 (2010)