Soliton propagation in lossy optical fibers

In this work we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the transmission of the soliton signal. In this context, a numerical scheme...

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Detalles Bibliográficos
Autores: Dall'Agnol, Caroline, Natti, Paulo Laerte, Cirilo, Eliandro Rodrigues, Romeiro, Neyva Maria Lopes, TakanoNatti, Érica Regina
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade Estadual de Londrina (UEL)
Repositorio:Revista Semina: Ciências Exatas e Tecnológicas (Online)
Idioma:inglés
OAI Identifier:oai:ojs2.ojs.uel.br:article/37472
Acceso en línea:https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/37472
Access Level:acceso abierto
Palabra clave:Optical Communication
Soliton
Finite Differences
Dissipation
Nonlinear Amplification
Análise Numérica
Comunicação Óptica
Diferenças Finitas
Dissipação
Amplificação Não Linear.
Descripción
Sumario:In this work we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the transmission of the soliton signal. In this context, a numerical scheme was developed to solve a system of complex partial differential equations (CPDE) that describes the propagation of solitons in optical fibers with loss and nonlinear amplification mechanisms. The numerical procedure is based on the mathematical theory of Taylor series of complex functions. We adapted the Finite Difference Method (FDM) to approximate derivatives of complex functions. Then, we solve the algebraic system resulting from the discretization, implicitly, through the relaxation Gauss-Seidel method (RGSM). The numerical study of CPDE system with linear and cubic attenuation showed that soliton waves undergo attenuation, dispersion, and oscillation effects. On the other hand, we find that by considering the nonlinear term (cubic term) as an optical amplification, it is possible to partially compensate the attenuation of the optical signal. Finally, we show that a gain of 9% triples the propagation distance of the fundamental soliton wave, when the dissipation rate is 1%