Solution of Raman fiber amplifier equations using MATLAB BVP solvers

dc.contributor.buuauthorGökhan, Fikri Serdar
dc.contributor.buuauthorYılmaz, Güneş
dc.contributor.departmentUludağ Üniversitesi/Mühendislik Fakültesi/Elektrik ve Elektronik Mühendisliği Bölümü.tr_TR
dc.contributor.scopusid36095794400tr_TR
dc.contributor.scopusid7004543197tr_TR
dc.date.accessioned2022-04-07T08:23:23Z
dc.date.available2022-04-07T08:23:23Z
dc.date.issued2011
dc.description.abstractPurpose - The purpose of this paper is to demonstrate an effective and robust numerical solution for Raman fiber amplifier (RFA) equations which have no explicit solution. MATLAB BVP solvers are addressed for the solution. Design/methodology/approach - The continuation method proposed for the solution of RFA equations using MATLAB BVP solvers is explained. Scripts for improving the power values at the boundaries with continuation, extending fiber length with continuation and calculation of the analytical partial derivatives using the MATLAB Symbolic toolbox are introduced. Comparisons among the different MATLAB BVP solvers have been made. Using the continuation method, signal evolutions for different kinds of RFA amplifier configurations are plotted. Findings - The paper finds that MATLAB BVP solver with the continuation method can be used in the design of various kinds of RFAs for high powers/long gain fiber spans. Research limitations/implications - The paper will assist the fiber optic research community who suffer from two or more point boundary-value problems. Moreover, the stiffness of the signal evolution which is faced with high pump powers and/or long fiber lengths can be solved with continuation. This superiority of the solver can be used to overcome any stiff changes of the signals for future studies. Practical implications - The increased research interests and practical demands for RFAs have been calling for reasonable and efficient means for the performance evaluation of RFAs before the real amplifiers are fabricated. The solution method presented in this paper will be an efficient means for the solution of this issue. Originality/value - MATLAB BVP solvers have been proven to be effective for the numerical solution of RFAs with multiple pumps and signal waves. Using the continuation method, in a distributed RFA with ten pump sources, 2,400 mW total input pump power is achieved. The improvement of the total power is about 1.4 times compared with those of the previously reported methods. Using the MATLAB BVP solvers, total power/fiber span can be improved further using the continuation process with the cost of computational time. This is a notable and promising improvement from a RFA designer's point of view.en_US
dc.identifier.citationGökhan, F. S. ve Yılmaz, G. (2011). "Solution of Raman fiber amplifier equations using MATLAB BVP solvers". Compel-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 30(2), 398-411.en_US
dc.identifier.endpage411tr_TR
dc.identifier.issn0332-1649
dc.identifier.issue2tr_TR
dc.identifier.scopus2-s2.0-79952365557tr_TR
dc.identifier.startpage398tr_TR
dc.identifier.urihttps://doi.org/10.1108/03321641111100998
dc.identifier.urihttps://www.emerald.com/insight/content/doi/10.1108/03321641111100998/full/html
dc.identifier.urihttp://hdl.handle.net/11452/25632
dc.identifier.volume30tr_TR
dc.identifier.wos000289045400001tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherEmerald Group Publishingen_US
dc.relation.journalCompel-The International Journal for Computation and Mathematics in Electrical and Electronic Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectComputer scienceen_US
dc.subjectEngineeringen_US
dc.subjectMathematicsen_US
dc.subjectNumerical analysisen_US
dc.subjectMathematical programmingen_US
dc.subjectAmplifiersen_US
dc.subjectProgramming and algorithm theoryen_US
dc.subjectPropagation equationsen_US
dc.subjectAlgorithmsen_US
dc.subjectFiber amplifiersen_US
dc.subjectFibersen_US
dc.subjectMeasurement theoryen_US
dc.subjectNumerical analysisen_US
dc.subjectResearchen_US
dc.subjectAmplifiersen_US
dc.subjectComputational timeen_US
dc.subjectContinuation methoden_US
dc.subjectContinuation processen_US
dc.subjectDesign/methodology/approachen_US
dc.subjectExplicit solutionsen_US
dc.subjectFiber lengthen_US
dc.subjectGain fibersen_US
dc.subjectLong fiberen_US
dc.subjectNumerical solutionen_US
dc.subjectPartial derivativesen_US
dc.subjectPerformance evaluationen_US
dc.subjectProgramming and algorithm theoryen_US
dc.subjectPump poweren_US
dc.subjectPump sourcesen_US
dc.subjectRaman fiber amplifiersen_US
dc.subjectResearch communitiesen_US
dc.subjectSignal evolutionen_US
dc.subjectSignal wavesen_US
dc.subjectSolution methodsen_US
dc.subjectTotal poweren_US
dc.subjectMathematical programmingen_US
dc.subject.scopusFiber Amplifiers; Raman; Wavelength Division Multiplexingen_US
dc.subject.wosComputer science, interdisciplinary applicationsen_US
dc.subject.wosEngineering, electrical & electronicen_US
dc.subject.wosMathematics, applieden_US
dc.titleSolution of Raman fiber amplifier equations using MATLAB BVP solversen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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