Lattice approach to the dynamics of the DPSK-encoded soliton trains

Y.E. Prilepsky, S.A. Derevyanko, S.K. Turitsyn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the dynamical properties of the RZ-DPSK encoded sequences, focusing on the instabilities in the soliton train leading to the distortions of the information transmitted. The problem is reformulated within the framework of complex Toda chain model which allows one to carry out the simplified description of the optical soliton dynamics. We elucidate how the bit composition of the pattern affects the initial (linear) stage of the train dynamics and explain the general mechanisms of the appearance of unstable collective soliton modes. Then we discuss the nonlinear regime using asymptotic properties of the pulse stream at large propagation distances and analyze the dynamical behavior of the train classifying different scenarios for the pattern instabilities. Both approaches are based on the machinery of Hermitian and non-Hermitian lattice analysis.

Original languageEnglish
Title of host publication2010 International Conference on Mathematical Methods in Electromagnetic Theory
PublisherIEEE
ISBN (Print)978-1-4244-8861-2
DOIs
Publication statusPublished - 29 Nov 2010
Event2010 International Conference on Mathematical Methods in Electromagnetic Theory - Kyiv, Ukraine
Duration: 6 Sep 20108 Sep 2010

Conference

Conference2010 International Conference on Mathematical Methods in Electromagnetic Theory
Abbreviated titleMMET-10
CountryUkraine
CityKyiv
Period6/09/108/09/10

Fingerprint

Solitons
solitary waves
Optical Solitons
Dynamical Behavior
Asymptotic Properties
asymptotic properties
Unstable
machinery
Propagation
classifying
Scenarios
Machinery
propagation
pulses
Chemical analysis
Model
Framework

Cite this

Prilepsky, Y. E., Derevyanko, S. A., & Turitsyn, S. K. (2010). Lattice approach to the dynamics of the DPSK-encoded soliton trains. In 2010 International Conference on Mathematical Methods in Electromagnetic Theory IEEE. https://doi.org/10.1109/MMET.2010.5611437
Prilepsky, Y.E. ; Derevyanko, S.A. ; Turitsyn, S.K. / Lattice approach to the dynamics of the DPSK-encoded soliton trains. 2010 International Conference on Mathematical Methods in Electromagnetic Theory. IEEE, 2010.
@inproceedings{5c8a770dab2a4399b115bec3cce5f84f,
title = "Lattice approach to the dynamics of the DPSK-encoded soliton trains",
abstract = "We study the dynamical properties of the RZ-DPSK encoded sequences, focusing on the instabilities in the soliton train leading to the distortions of the information transmitted. The problem is reformulated within the framework of complex Toda chain model which allows one to carry out the simplified description of the optical soliton dynamics. We elucidate how the bit composition of the pattern affects the initial (linear) stage of the train dynamics and explain the general mechanisms of the appearance of unstable collective soliton modes. Then we discuss the nonlinear regime using asymptotic properties of the pulse stream at large propagation distances and analyze the dynamical behavior of the train classifying different scenarios for the pattern instabilities. Both approaches are based on the machinery of Hermitian and non-Hermitian lattice analysis.",
author = "Y.E. Prilepsky and S.A. Derevyanko and S.K. Turitsyn",
year = "2010",
month = "11",
day = "29",
doi = "10.1109/MMET.2010.5611437",
language = "English",
isbn = "978-1-4244-8861-2",
booktitle = "2010 International Conference on Mathematical Methods in Electromagnetic Theory",
publisher = "IEEE",
address = "United States",

}

Prilepsky, YE, Derevyanko, SA & Turitsyn, SK 2010, Lattice approach to the dynamics of the DPSK-encoded soliton trains. in 2010 International Conference on Mathematical Methods in Electromagnetic Theory. IEEE, 2010 International Conference on Mathematical Methods in Electromagnetic Theory, Kyiv, Ukraine, 6/09/10. https://doi.org/10.1109/MMET.2010.5611437

Lattice approach to the dynamics of the DPSK-encoded soliton trains. / Prilepsky, Y.E.; Derevyanko, S.A.; Turitsyn, S.K.

2010 International Conference on Mathematical Methods in Electromagnetic Theory. IEEE, 2010.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Lattice approach to the dynamics of the DPSK-encoded soliton trains

AU - Prilepsky, Y.E.

AU - Derevyanko, S.A.

AU - Turitsyn, S.K.

PY - 2010/11/29

Y1 - 2010/11/29

N2 - We study the dynamical properties of the RZ-DPSK encoded sequences, focusing on the instabilities in the soliton train leading to the distortions of the information transmitted. The problem is reformulated within the framework of complex Toda chain model which allows one to carry out the simplified description of the optical soliton dynamics. We elucidate how the bit composition of the pattern affects the initial (linear) stage of the train dynamics and explain the general mechanisms of the appearance of unstable collective soliton modes. Then we discuss the nonlinear regime using asymptotic properties of the pulse stream at large propagation distances and analyze the dynamical behavior of the train classifying different scenarios for the pattern instabilities. Both approaches are based on the machinery of Hermitian and non-Hermitian lattice analysis.

AB - We study the dynamical properties of the RZ-DPSK encoded sequences, focusing on the instabilities in the soliton train leading to the distortions of the information transmitted. The problem is reformulated within the framework of complex Toda chain model which allows one to carry out the simplified description of the optical soliton dynamics. We elucidate how the bit composition of the pattern affects the initial (linear) stage of the train dynamics and explain the general mechanisms of the appearance of unstable collective soliton modes. Then we discuss the nonlinear regime using asymptotic properties of the pulse stream at large propagation distances and analyze the dynamical behavior of the train classifying different scenarios for the pattern instabilities. Both approaches are based on the machinery of Hermitian and non-Hermitian lattice analysis.

UR - http://www.scopus.com/inward/record.url?scp=78649239522&partnerID=8YFLogxK

U2 - 10.1109/MMET.2010.5611437

DO - 10.1109/MMET.2010.5611437

M3 - Conference contribution

AN - SCOPUS:78649239522

SN - 978-1-4244-8861-2

BT - 2010 International Conference on Mathematical Methods in Electromagnetic Theory

PB - IEEE

ER -

Prilepsky YE, Derevyanko SA, Turitsyn SK. Lattice approach to the dynamics of the DPSK-encoded soliton trains. In 2010 International Conference on Mathematical Methods in Electromagnetic Theory. IEEE. 2010 https://doi.org/10.1109/MMET.2010.5611437