A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption

Abstract This paper presents a modification for the already consolidated analytical model that calculates the gain and ripple in multi-pump Raman amplifiers by considering energy conservation. The original analytical model precisely computes the pump-pump interaction to the C- and L-band for a WDM i...

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Main Authors: Thiago V. N. Coelho, A. Bessa dos Santos, Marco A. Jucá, Luiz C. C. Jr, Maria J. Pontes, Andres P. L.Barbero
Format: Article
Language:English
Published: Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo
Series:Journal of Microwaves, Optoelectronics and Electromagnetic Applications
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742016000300198&lng=en&tlng=en
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author Thiago V. N. Coelho
A. Bessa dos Santos
Marco A. Jucá
Luiz C. C. Jr
Maria J. Pontes
Andres P. L.Barbero
author_facet Thiago V. N. Coelho
A. Bessa dos Santos
Marco A. Jucá
Luiz C. C. Jr
Maria J. Pontes
Andres P. L.Barbero
author_sort Thiago V. N. Coelho
collection DOAJ
description Abstract This paper presents a modification for the already consolidated analytical model that calculates the gain and ripple in multi-pump Raman amplifiers by considering energy conservation. The original analytical model precisely computes the pump-pump interaction to the C- and L-band for a WDM input signal. However, when this method is used to amplify a large bandwidth, as the entire C and a part of the L band, the increase in the number of pump lasers impacts the obtained results. The error, if compared with results obtained by a numerical method, becomes significant. An analysis in terms of energy is proposed to minimize the discrepancy between analytical and numerical results. An improvement is observed to the gain results.
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publisher Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo
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spelling doaj.art-630797326b7d4f4db1cb10c81b6eb79c2022-12-22T03:11:42ZengSociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de EletromagnetismoJournal of Microwaves, Optoelectronics and Electromagnetic Applications2179-107415319820910.1590/2179-10742016v15i3612S2179-10742016000300198A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumptionThiago V. N. CoelhoA. Bessa dos SantosMarco A. JucáLuiz C. C. JrMaria J. PontesAndres P. L.BarberoAbstract This paper presents a modification for the already consolidated analytical model that calculates the gain and ripple in multi-pump Raman amplifiers by considering energy conservation. The original analytical model precisely computes the pump-pump interaction to the C- and L-band for a WDM input signal. However, when this method is used to amplify a large bandwidth, as the entire C and a part of the L band, the increase in the number of pump lasers impacts the obtained results. The error, if compared with results obtained by a numerical method, becomes significant. An analysis in terms of energy is proposed to minimize the discrepancy between analytical and numerical results. An improvement is observed to the gain results.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742016000300198&lng=en&tlng=enRaman amplifiernumerical modelanalytical modelenergy conservation
spellingShingle Thiago V. N. Coelho
A. Bessa dos Santos
Marco A. Jucá
Luiz C. C. Jr
Maria J. Pontes
Andres P. L.Barbero
A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
Journal of Microwaves, Optoelectronics and Electromagnetic Applications
Raman amplifier
numerical model
analytical model
energy conservation
title A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
title_full A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
title_fullStr A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
title_full_unstemmed A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
title_short A correction method for the analytical model in Raman amplifiers systems based on energy conservation assumption
title_sort correction method for the analytical model in raman amplifiers systems based on energy conservation assumption
topic Raman amplifier
numerical model
analytical model
energy conservation
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742016000300198&lng=en&tlng=en
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