Periodic waves in bimodal optical fibers

K. W. Chow; K. Nakkeeran; Boris A. Malomed

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

Periodic waves in bimodal optical fibers

K. W. Chow, K. Nakkeeran, Boris A. Malomed

School of Electrical Engineering

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

Abstract

We consider coupled non-linear Schrödinger 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.

Original language	English
Pages (from-to)	251-259
Number of pages	9
Journal	Optics Communications
Volume	219
Issue number	1-6
DOIs	https://doi.org/10.1016/S0030-4018(03)01319-1
State	Published - 15 Apr 2003

Keywords

Coupled non-linear Schrödinger equations
Hirota method
Optical fiber
Periodic solutions

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10.1016/S0030-4018(03)01319-1

Cite this

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title = "Periodic waves in bimodal optical fibers",

abstract = "We consider coupled non-linear Schr{\"o}dinger 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.",

keywords = "Coupled non-linear Schr{\"o}dinger equations, Hirota method, Optical fiber, Periodic solutions",

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

note = "Funding Information: K.N. acknowledges support from the Research Grants Council (RGC) of the Hong Kong Special Administrative Region, China (Project No. PolyU5132/99E). This author is grateful to P.K.A. Wai for all kinds of help. K.W.C. acknowledges a partial financial support from RGC contracts HKU 7066/00E and HKU 7006/02E. B.A.M. appreciates hospitality of the Optoelectronics Research Centre at the Department of Electronics Engineering, the City University of Hong Kong. ",

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

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T1 - Periodic waves in bimodal optical fibers

AU - Chow, K. W.

AU - Nakkeeran, K.

AU - Malomed, Boris A.

N1 - Funding Information: K.N. acknowledges support from the Research Grants Council (RGC) of the Hong Kong Special Administrative Region, China (Project No. PolyU5132/99E). This author is grateful to P.K.A. Wai for all kinds of help. K.W.C. acknowledges a partial financial support from RGC contracts HKU 7066/00E and HKU 7006/02E. B.A.M. appreciates hospitality of the Optoelectronics Research Centre at the Department of Electronics Engineering, the City University of Hong Kong.

PY - 2003/4/15

Y1 - 2003/4/15

N2 - We consider coupled non-linear Schrödinger 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.

AB - We consider coupled non-linear Schrödinger 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.

KW - Coupled non-linear Schrödinger equations

KW - Hirota method

KW - Optical fiber

KW - Periodic solutions

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VL - 219

SP - 251

EP - 259

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 1-6

ER -

Periodic waves in bimodal optical fibers

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Keywords

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