Инд. авторы:	Redyuk A.A., Bednyakova A.E., Medvedev S.B., Fedoruk M.P., Turitsyn S.K.
Заглавие:	Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier
Библ. ссылка:	Redyuk A.A., Bednyakova A.E., Medvedev S.B., Fedoruk M.P., Turitsyn S.K. Simple geometric interpretation of signal evolution in phase-sensitive fibre optic parametric amplifier // Optics Express. - 2017. - Vol.25. - Iss. 1. - P.223-231. - ISSN 1094-4087.
Внешние системы:	DOI: 10.1364/OE.25.000223; РИНЦ: 29464119; PubMed: 28085815; SCOPUS: 2-s2.0-85009461430; WoS: 000396510600021;
Реферат:	eng: 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. © 2017 Optical Society of America.
Ключевые слова:	Optical parametric amplifiers; Scientific and engineering applications; Optimization problems; Hamiltonian structures; Geometrical interpretation; Geometric interpretation; Geometric approaches; Fiber optical parametric amplifications; Complex nonlinear equations; Optimization; Optical fiber communication; Optical communication; Nonlinear optics; Nonlinear equations; Hamiltonians; Geometry; Four wave mixing; Fiber amplifiers; Dynamical systems;
Издано:	2017
Физ. характеристика:	с.223-231
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