Period map for nonlinear pulses in optical dispersion-managed fibers
type: Item
instance of: scholarly article
title: Period map for nonlinear pulses in optical dispersion-managed fibers
zbMATH Open document ID: 1076.78010
DOI: 10.1023/A:1021875924760
published in: Theoretical and Mathematical Physics
publication date: 2005-08-17T00:00:00Z
review text: We derive a simple recursion formula for the amplitude and chirp of the optical pulse propagating over a dispersion-managed fiber with zero mean dispersion. We neglect dissipation and assume the dispersion to be constant along the adjacent legs of the waveguide, thus providing the applicability of the integrable NLS models within each leg. Choosing the legs to be long enough to ensure the formation of a self-similar profile, we apply the well-known asymptotic formulas for the nonsoliton initial pulses. Matching them through the interfaces of the legs, we obtain the recursion formulas for the pulse amplitude and the chirp. Our analytic results are well justified by numerical simulations.
reviewed by: X. Antoine
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 2194703
zbMATH Keywords: NLS equation
zbMATH Keywords: dispersion management
zbMATH Keywords: dispersion-managed soliton
zbMATH Keywords: inverse scattering transform
zbMATH Keywords: long-time asymptotics
author: Alexander V. Mikhailov
author: V. Yu. Novokshenov
MaRDI profile type: Publication
full work available at URL: a:1021875924760
OpenAlex ID: W119296318
Wikidata QID: Q61835409
description: scientific article