Periodic waves in bimodal optical fibers

K. W. Chow; Nakkeeran Kaliyaperumal; B. A. Malomed

doi:10.1016/S0030-4018(03)01319-1

Periodic waves in bimodal optical fibers

K. W. Chow, Nakkeeran Kaliyaperumal, B. A. Malomed

Engineering

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

42 Citations (Scopus)

Abstract

We consider coupled non-linear Schrodinger equations (CNLSE) which govern the propagation of non-linear waves in bimodal optical fibers. The non-linear transform of a dual-frequency signal is used to generate an ultra-short-pulse train. To predict the energy and width of pulses in the train, we derive three new types of travelling periodic-wave solutions, using the Hirota bilinear method. We also show that all the previously reported periodic wave solutions of CNLSE can be derived in a systematic way, using the Hirota method. (C) 2003 Published by Elsevier Science B.V.

Original language	English
Pages (from-to)	251-259
Number of pages	8
Journal	Optics Communications
Volume	219
DOIs	https://doi.org/10.1016/S0030-4018(03)01319-1
Publication status	Published - 2003

Keywords

optical fiber
coupled non-linear Schrodinger equations
periodic solutions
Hirota method
INDUCED MODULATIONAL INSTABILITY
PULSE-TRAIN GENERATION
FREQUENCY BEAT SIGNAL
COMPRESSION
EQUATION

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10.1016/S0030-4018(03)01319-1

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title = "Periodic waves in bimodal optical fibers",

abstract = "We consider coupled non-linear Schrodinger equations (CNLSE) which govern the propagation of non-linear waves in bimodal optical fibers. The non-linear transform of a dual-frequency signal is used to generate an ultra-short-pulse train. To predict the energy and width of pulses in the train, we derive three new types of travelling periodic-wave solutions, using the Hirota bilinear method. We also show that all the previously reported periodic wave solutions of CNLSE can be derived in a systematic way, using the Hirota method. (C) 2003 Published by Elsevier Science B.V.",

keywords = "optical fiber, coupled non-linear Schrodinger equations, periodic solutions, Hirota method, INDUCED MODULATIONAL INSTABILITY, PULSE-TRAIN GENERATION, FREQUENCY BEAT SIGNAL, COMPRESSION, EQUATION",

author = "Chow, {K. W.} and Nakkeeran Kaliyaperumal and Malomed, {B. A.}",

year = "2003",

doi = "10.1016/S0030-4018(03)01319-1",

language = "English",

volume = "219",

pages = "251--259",

journal = "Optics Communications",

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publisher = "Elsevier Science B. V.",

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TY - JOUR

T1 - Periodic waves in bimodal optical fibers

AU - Chow, K. W.

AU - Kaliyaperumal, Nakkeeran

AU - Malomed, B. A.

PY - 2003

Y1 - 2003

N2 - We consider coupled non-linear Schrodinger equations (CNLSE) which govern the propagation of non-linear waves in bimodal optical fibers. The non-linear transform of a dual-frequency signal is used to generate an ultra-short-pulse train. To predict the energy and width of pulses in the train, we derive three new types of travelling periodic-wave solutions, using the Hirota bilinear method. We also show that all the previously reported periodic wave solutions of CNLSE can be derived in a systematic way, using the Hirota method. (C) 2003 Published by Elsevier Science B.V.

AB - We consider coupled non-linear Schrodinger equations (CNLSE) which govern the propagation of non-linear waves in bimodal optical fibers. The non-linear transform of a dual-frequency signal is used to generate an ultra-short-pulse train. To predict the energy and width of pulses in the train, we derive three new types of travelling periodic-wave solutions, using the Hirota bilinear method. We also show that all the previously reported periodic wave solutions of CNLSE can be derived in a systematic way, using the Hirota method. (C) 2003 Published by Elsevier Science B.V.

KW - optical fiber

KW - coupled non-linear Schrodinger equations

KW - periodic solutions

KW - Hirota method

KW - INDUCED MODULATIONAL INSTABILITY

KW - PULSE-TRAIN GENERATION

KW - FREQUENCY BEAT SIGNAL

KW - COMPRESSION

KW - EQUATION

U2 - 10.1016/S0030-4018(03)01319-1

DO - 10.1016/S0030-4018(03)01319-1

M3 - Article

SN - 0030-4018

VL - 219

SP - 251

EP - 259

JO - Optics Communications

JF - Optics Communications

ER -

Periodic waves in bimodal optical fibers

Abstract

Keywords

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