Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | Handbook of Solitons |
| Untertitel | Research, Technology and Applications |
| Seiten | 667-700 |
| Seitenumfang | 34 |
| Publikationsstatus | Veröffentlicht - 1 Okt. 2009 |
| Extern publiziert | Ja |
Abstract
Soliton dynamics of optical pulses in nonlinear fibers results from the interplay between the anomalous dispersion and nonlinear response of the medium. The envelope of the optical field satisfies the generalized nonlinear Schrödinger equation which we derive from the Maxwell's equations. We study the propagation of higher-order solitons numerically using a pseudospectral method with a Runge-Kutta scheme and adaptive stepsize control. It turns out, that modulation instability and soliton fission essentially determine the propagation dynamics even for ultra-short pulses with high peak powers. The role of these two mechanisms in the supercontinuum generation is demonstrated. We also consider a description of shorter pulses when the concept of envelope does not apply. In this case we arrive at a generalized short pulse equation whose special case describes new kind of solitons corresponding to few-cycle pulses.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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Handbook of Solitons: Research, Technology and Applications. 2009. S. 667-700.
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review
}
TY - CHAP
T1 - Higher-order solitons and modulation instability in optical fibers
AU - Demircan, Ayhan
AU - Bandelow, Uwe
AU - Pietrzyk, Monika
AU - Kanattšikov, Igor
N1 - Publisher Copyright: © 2009 by Nova Science Publishers, Inc. All rights reserved.
PY - 2009/10/1
Y1 - 2009/10/1
N2 - Soliton dynamics of optical pulses in nonlinear fibers results from the interplay between the anomalous dispersion and nonlinear response of the medium. The envelope of the optical field satisfies the generalized nonlinear Schrödinger equation which we derive from the Maxwell's equations. We study the propagation of higher-order solitons numerically using a pseudospectral method with a Runge-Kutta scheme and adaptive stepsize control. It turns out, that modulation instability and soliton fission essentially determine the propagation dynamics even for ultra-short pulses with high peak powers. The role of these two mechanisms in the supercontinuum generation is demonstrated. We also consider a description of shorter pulses when the concept of envelope does not apply. In this case we arrive at a generalized short pulse equation whose special case describes new kind of solitons corresponding to few-cycle pulses.
AB - Soliton dynamics of optical pulses in nonlinear fibers results from the interplay between the anomalous dispersion and nonlinear response of the medium. The envelope of the optical field satisfies the generalized nonlinear Schrödinger equation which we derive from the Maxwell's equations. We study the propagation of higher-order solitons numerically using a pseudospectral method with a Runge-Kutta scheme and adaptive stepsize control. It turns out, that modulation instability and soliton fission essentially determine the propagation dynamics even for ultra-short pulses with high peak powers. The role of these two mechanisms in the supercontinuum generation is demonstrated. We also consider a description of shorter pulses when the concept of envelope does not apply. In this case we arrive at a generalized short pulse equation whose special case describes new kind of solitons corresponding to few-cycle pulses.
KW - Modulation instability
KW - Nonlinear fibers
KW - Pulse splitting
KW - Third-order dispersion
UR - http://www.scopus.com/inward/record.url?scp=84896408737&partnerID=8YFLogxK
M3 - Contribution to book/anthology
AN - SCOPUS:84896408737
SN - 9781606925966
SP - 667
EP - 700
BT - Handbook of Solitons
ER -