Optimum integration procedures for supercontinuum simulation

"We study numerical solutions of the generalized nonlinear Schrödinger equation (GNLSE), focusing on the advantage of integrating the nonlinear part of the equation in the frequency domain (FD), rather than in the time domain (TD), when simulating supercontinuum generation in optical fibers. We...

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Autores principales: Rieznik, Andrés, Heidt, Alexander M., König, Pablo, Bettachini, Víctor A., Grosz, Diego
Formato: Artículos de Publicaciones Periódicas publishedVersion
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://ri.itba.edu.ar/handle/123456789/498
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id I32-R138-123456789-498
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spelling I32-R138-123456789-4982022-12-07T13:06:53Z Optimum integration procedures for supercontinuum simulation Rieznik, Andrés Heidt, Alexander M. König, Pablo Bettachini, Víctor A. Grosz, Diego ALGORITMOS FIBRAS OPTICAS SIMULACION ECUACIONES DE SCHRÖDINGER "We study numerical solutions of the generalized nonlinear Schrödinger equation (GNLSE), focusing on the advantage of integrating the nonlinear part of the equation in the frequency domain (FD), rather than in the time domain (TD), when simulating supercontinuum generation in optical fibers. We show that integration of the nonlinear operator in the FD is more efficient than its integration in the TD. We analyze different adaptive stepsize algorithms in combination with the interaction picture integration method and show that their performance strongly depends on whether integration of the nonlinear operator is performed in the FD or TD. We find that the most efficient procedure for supercontinuum simulation in optical fibers results from solving the nonlinearity in the FD and applying the recently introduced conservation quantity error adaptive step-size algorithm." 2017-04-19T12:58:28Z 2017-04-19T12:58:28Z 2012 Artículos de Publicaciones Periódicas info:eu-repo/semantics/publishedVersion 1943-0655 http://ri.itba.edu.ar/handle/123456789/498 en info:eu-repo/semantics/reference/doi/10.1109/JPHOT.2012.2188281 info:eu-repo/grantAgreement/FONCyT/PICT/2006-497/AR. Ciudad Autónoma de Buenos Aires info:eu-repo/grantAgreement/DAAD/DE. Bonn application/pdf
institution Instituto Tecnológico de Buenos Aires (ITBA)
institution_str I-32
repository_str R-138
collection Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA)
language Inglés
topic ALGORITMOS
FIBRAS OPTICAS
SIMULACION
ECUACIONES DE SCHRÖDINGER
spellingShingle ALGORITMOS
FIBRAS OPTICAS
SIMULACION
ECUACIONES DE SCHRÖDINGER
Rieznik, Andrés
Heidt, Alexander M.
König, Pablo
Bettachini, Víctor A.
Grosz, Diego
Optimum integration procedures for supercontinuum simulation
topic_facet ALGORITMOS
FIBRAS OPTICAS
SIMULACION
ECUACIONES DE SCHRÖDINGER
description "We study numerical solutions of the generalized nonlinear Schrödinger equation (GNLSE), focusing on the advantage of integrating the nonlinear part of the equation in the frequency domain (FD), rather than in the time domain (TD), when simulating supercontinuum generation in optical fibers. We show that integration of the nonlinear operator in the FD is more efficient than its integration in the TD. We analyze different adaptive stepsize algorithms in combination with the interaction picture integration method and show that their performance strongly depends on whether integration of the nonlinear operator is performed in the FD or TD. We find that the most efficient procedure for supercontinuum simulation in optical fibers results from solving the nonlinearity in the FD and applying the recently introduced conservation quantity error adaptive step-size algorithm."
format Artículos de Publicaciones Periódicas
publishedVersion
author Rieznik, Andrés
Heidt, Alexander M.
König, Pablo
Bettachini, Víctor A.
Grosz, Diego
author_facet Rieznik, Andrés
Heidt, Alexander M.
König, Pablo
Bettachini, Víctor A.
Grosz, Diego
author_sort Rieznik, Andrés
title Optimum integration procedures for supercontinuum simulation
title_short Optimum integration procedures for supercontinuum simulation
title_full Optimum integration procedures for supercontinuum simulation
title_fullStr Optimum integration procedures for supercontinuum simulation
title_full_unstemmed Optimum integration procedures for supercontinuum simulation
title_sort optimum integration procedures for supercontinuum simulation
publishDate 2017
url http://ri.itba.edu.ar/handle/123456789/498
work_keys_str_mv AT rieznikandres optimumintegrationproceduresforsupercontinuumsimulation
AT heidtalexanderm optimumintegrationproceduresforsupercontinuumsimulation
AT konigpablo optimumintegrationproceduresforsupercontinuumsimulation
AT bettachinivictora optimumintegrationproceduresforsupercontinuumsimulation
AT groszdiego optimumintegrationproceduresforsupercontinuumsimulation
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