Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier

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Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier. / Redyuk, A. A.; Bednyakova, A. E.; Medvedev, S. B. et al.

In: Optics Express, Vol. 25, No. 1, 09.01.2017, p. 223-231.

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

BibTeX

@article{ff43b493732b4554a0dfc5008cd07270,

title = "Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier",

abstract = "Visualisation of complex nonlinear equation solutions is a useful analysis tool for various scientific and engineering applications. We have re-examined the geometrical interpretation of the classical nonlinear four-wave mixing equations for the specific scheme of a phase sensitive one-pump fiber optical parametric amplification, which has recently attracted revived interest in the optical communications due to potential low noise properties of such amplifiers. Analysis of the phase portraits of the corresponding dynamical systems provide valuable additional insight into field dynamics and properties of the amplifiers. Simple geometric approach has been proposed to describe evolution of the waves, involved in phase-sensitive fiber optical parametric amplification (PS-FOPA) process, using a Hamiltonian structure of the governing equations. We have demonstrated how the proposed approach can be applied to the optimization problems arising in the design of the specific PS-FOPA scheme. The method considered here is rather general and can be used in various applications.",

keywords = "AMPLIFICATION, REGENERATOR, INSTABILITY, SYSTEMS",

author = "Redyuk, {A. A.} and Bednyakova, {A. E.} and Medvedev, {S. B.} and Fedoruk, {M. P.} and Turitsyn, {S. K.}",

note = "Publisher Copyright: {\textcopyright} 2017 Optical Society of America.",

year = "2017",

month = jan,

day = "9",

doi = "10.1364/OE.25.000223",

language = "English",

volume = "25",

pages = "223--231",

journal = "Optics Express",

issn = "1094-4087",

publisher = "The Optical Society",

number = "1",

}

RIS

TY - JOUR

T1 - Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier

AU - Redyuk, A. A.

AU - Bednyakova, A. E.

AU - Medvedev, S. B.

AU - Fedoruk, M. P.

AU - Turitsyn, S. K.

PY - 2017/1/9

Y1 - 2017/1/9

N2 - Visualisation of complex nonlinear equation solutions is a useful analysis tool for various scientific and engineering applications. We have re-examined the geometrical interpretation of the classical nonlinear four-wave mixing equations for the specific scheme of a phase sensitive one-pump fiber optical parametric amplification, which has recently attracted revived interest in the optical communications due to potential low noise properties of such amplifiers. Analysis of the phase portraits of the corresponding dynamical systems provide valuable additional insight into field dynamics and properties of the amplifiers. Simple geometric approach has been proposed to describe evolution of the waves, involved in phase-sensitive fiber optical parametric amplification (PS-FOPA) process, using a Hamiltonian structure of the governing equations. We have demonstrated how the proposed approach can be applied to the optimization problems arising in the design of the specific PS-FOPA scheme. The method considered here is rather general and can be used in various applications.

AB - Visualisation of complex nonlinear equation solutions is a useful analysis tool for various scientific and engineering applications. We have re-examined the geometrical interpretation of the classical nonlinear four-wave mixing equations for the specific scheme of a phase sensitive one-pump fiber optical parametric amplification, which has recently attracted revived interest in the optical communications due to potential low noise properties of such amplifiers. Analysis of the phase portraits of the corresponding dynamical systems provide valuable additional insight into field dynamics and properties of the amplifiers. Simple geometric approach has been proposed to describe evolution of the waves, involved in phase-sensitive fiber optical parametric amplification (PS-FOPA) process, using a Hamiltonian structure of the governing equations. We have demonstrated how the proposed approach can be applied to the optimization problems arising in the design of the specific PS-FOPA scheme. The method considered here is rather general and can be used in various applications.

KW - AMPLIFICATION

KW - REGENERATOR

KW - INSTABILITY

KW - SYSTEMS

UR - http://www.scopus.com/inward/record.url?scp=85009461430&partnerID=8YFLogxK

U2 - 10.1364/OE.25.000223

DO - 10.1364/OE.25.000223

M3 - Article

C2 - 28085815

AN - SCOPUS:85009461430

VL - 25

SP - 223

EP - 231

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 1

ER -

ID: 9068552