Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

S. Boscolo; S. A. Derevyanko; S. K. Turitsyn; A. S. Kovalev; M. M. Bogdan

doi:10.1007/s11232-005-0140-8

Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

S. Boscolo, S. A. Derevyanko, S. K. Turitsyn, A. S. Kovalev, M. M. Bogdan

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations.

Original language	English
Pages (from-to)	1117-1127
Number of pages	11
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	144
Issue number	2
DOIs	https://doi.org/10.1007/s11232-005-0140-8
State	Published - 1 Aug 2005
Externally published	Yes

Keywords

Autosolitons
Dispersive systems with point nonlinearity
Mapping problem

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11232-005-0140-8

Cite this

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title = "Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem",

abstract = "We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations.",

keywords = "Autosolitons, Dispersive systems with point nonlinearity, Mapping problem",

author = "S. Boscolo and Derevyanko, {S. A.} and Turitsyn, {S. K.} and Kovalev, {A. S.} and Bogdan, {M. M.}",

note = "Funding Information: Acknowledgments. This work was supported in part by the NATO Collaborative Linkage Program (Grant No. PST.CLG.980068).",

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T1 - Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

AU - Boscolo, S.

AU - Derevyanko, S. A.

AU - Turitsyn, S. K.

AU - Kovalev, A. S.

AU - Bogdan, M. M.

N1 - Funding Information: Acknowledgments. This work was supported in part by the NATO Collaborative Linkage Program (Grant No. PST.CLG.980068).

PY - 2005/8/1

Y1 - 2005/8/1

N2 - We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations.

AB - We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations.

KW - Autosolitons

KW - Dispersive systems with point nonlinearity

KW - Mapping problem

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JO - Theoretical and Mathematical Physics(Russian Federation)

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ER -

Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

Abstract

Keywords

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