Chirped optical solitons

K. Senthilnathan, N. Kaliyaperumal, K. W. Chow, Q. Li, P. K. A. Wai

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We consider the evolution of nonlinear optical pulses in some inhomogeneous optical media wherein the pulse propagation is governed by the nonlinear Schrödinger equation with variable dispersion. The Painlevé analysis is applied to obtain the condition for the soliton pulse propagation. Two dispersion profiles satisfying this criterion are the constant dispersion and exponentially decreasing dispersion profiles. In the exponentially varying dispersive media, we explain the existence and the formation of chirped optical soliton through the variational equation for the chirp. In addition, we theoretically discuss the generation of exact chirped higher order solitons using the Hirota bilinear method. We also demonstrate the implication for optical communications systems in terms of pulse compression by using these exact chirped solitons. Finally, we analyze the interaction scenarios of the chirped higher order solitons.
Original languageEnglish
Title of host publicationAdvances in Nonlinear Waves and Symbolic Computation
EditorsZhenya Yan
PublisherNova Science Publishers Inc
Pages1-17
Number of pages17
ISBN (Electronic)978-1608766079
ISBN (Print)1606922602, 978-1606922606
Publication statusPublished - 30 Jul 2009

Fingerprint

solitary waves
pulses
propagation
pulse compression
profiles
chirp
nonlinear equations
optical communication
telecommunication
interactions

Cite this

Senthilnathan, K., Kaliyaperumal, N., Chow, K. W., Li, Q., & Wai, P. K. A. (2009). Chirped optical solitons. In Z. Yan (Ed.), Advances in Nonlinear Waves and Symbolic Computation (pp. 1-17). Nova Science Publishers Inc.

Chirped optical solitons. / Senthilnathan, K.; Kaliyaperumal, N.; Chow, K. W.; Li, Q.; Wai, P. K. A.

Advances in Nonlinear Waves and Symbolic Computation. ed. / Zhenya Yan. Nova Science Publishers Inc, 2009. p. 1-17.

Research output: Chapter in Book/Report/Conference proceedingChapter

Senthilnathan, K, Kaliyaperumal, N, Chow, KW, Li, Q & Wai, PKA 2009, Chirped optical solitons. in Z Yan (ed.), Advances in Nonlinear Waves and Symbolic Computation. Nova Science Publishers Inc, pp. 1-17.
Senthilnathan K, Kaliyaperumal N, Chow KW, Li Q, Wai PKA. Chirped optical solitons. In Yan Z, editor, Advances in Nonlinear Waves and Symbolic Computation. Nova Science Publishers Inc. 2009. p. 1-17
Senthilnathan, K. ; Kaliyaperumal, N. ; Chow, K. W. ; Li, Q. ; Wai, P. K. A. / Chirped optical solitons. Advances in Nonlinear Waves and Symbolic Computation. editor / Zhenya Yan. Nova Science Publishers Inc, 2009. pp. 1-17
@inbook{ed99c01a9a81496ebdd637fe73810af8,
title = "Chirped optical solitons",
abstract = "We consider the evolution of nonlinear optical pulses in some inhomogeneous optical media wherein the pulse propagation is governed by the nonlinear Schr{\"o}dinger equation with variable dispersion. The Painlev{\'e} analysis is applied to obtain the condition for the soliton pulse propagation. Two dispersion profiles satisfying this criterion are the constant dispersion and exponentially decreasing dispersion profiles. In the exponentially varying dispersive media, we explain the existence and the formation of chirped optical soliton through the variational equation for the chirp. In addition, we theoretically discuss the generation of exact chirped higher order solitons using the Hirota bilinear method. We also demonstrate the implication for optical communications systems in terms of pulse compression by using these exact chirped solitons. Finally, we analyze the interaction scenarios of the chirped higher order solitons.",
author = "K. Senthilnathan and N. Kaliyaperumal and Chow, {K. W.} and Q. Li and Wai, {P. K. A.}",
year = "2009",
month = "7",
day = "30",
language = "English",
isbn = "1606922602",
pages = "1--17",
editor = "Zhenya Yan",
booktitle = "Advances in Nonlinear Waves and Symbolic Computation",
publisher = "Nova Science Publishers Inc",

}

TY - CHAP

T1 - Chirped optical solitons

AU - Senthilnathan, K.

AU - Kaliyaperumal, N.

AU - Chow, K. W.

AU - Li, Q.

AU - Wai, P. K. A.

PY - 2009/7/30

Y1 - 2009/7/30

N2 - We consider the evolution of nonlinear optical pulses in some inhomogeneous optical media wherein the pulse propagation is governed by the nonlinear Schrödinger equation with variable dispersion. The Painlevé analysis is applied to obtain the condition for the soliton pulse propagation. Two dispersion profiles satisfying this criterion are the constant dispersion and exponentially decreasing dispersion profiles. In the exponentially varying dispersive media, we explain the existence and the formation of chirped optical soliton through the variational equation for the chirp. In addition, we theoretically discuss the generation of exact chirped higher order solitons using the Hirota bilinear method. We also demonstrate the implication for optical communications systems in terms of pulse compression by using these exact chirped solitons. Finally, we analyze the interaction scenarios of the chirped higher order solitons.

AB - We consider the evolution of nonlinear optical pulses in some inhomogeneous optical media wherein the pulse propagation is governed by the nonlinear Schrödinger equation with variable dispersion. The Painlevé analysis is applied to obtain the condition for the soliton pulse propagation. Two dispersion profiles satisfying this criterion are the constant dispersion and exponentially decreasing dispersion profiles. In the exponentially varying dispersive media, we explain the existence and the formation of chirped optical soliton through the variational equation for the chirp. In addition, we theoretically discuss the generation of exact chirped higher order solitons using the Hirota bilinear method. We also demonstrate the implication for optical communications systems in terms of pulse compression by using these exact chirped solitons. Finally, we analyze the interaction scenarios of the chirped higher order solitons.

M3 - Chapter

SN - 1606922602

SN - 978-1606922606

SP - 1

EP - 17

BT - Advances in Nonlinear Waves and Symbolic Computation

A2 - Yan, Zhenya

PB - Nova Science Publishers Inc

ER -