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 fibe...
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| Format: | Article |
| Language: | English |
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IEEE
2012-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/6153336/ |
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| author | A. A. Rieznik A. M. Heidt P. G. Konig V. A. Bettachini D. F. Grosz |
| author_facet | A. A. Rieznik A. M. Heidt P. G. Konig V. A. Bettachini D. F. Grosz |
| author_sort | A. A. Rieznik |
| collection | DOAJ |
| 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 step-size 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. |
| first_indexed | 2024-12-18T02:25:50Z |
| format | Article |
| id | doaj.art-c7c30f453df94ef59a1d376c7ff569f8 |
| institution | Directory Open Access Journal |
| issn | 1943-0655 |
| language | English |
| last_indexed | 2024-12-18T02:25:50Z |
| publishDate | 2012-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj.art-c7c30f453df94ef59a1d376c7ff569f82022-12-21T21:24:03ZengIEEEIEEE Photonics Journal1943-06552012-01-014255256010.1109/JPHOT.2012.21882816153336Optimum Integration Procedures for Supercontinuum SimulationA. A. Rieznik0A. M. Heidt1P. G. Konig2V. A. Bettachini3D. F. Grosz4<formula formulatype="inline"><tex Notation="TeX">$^{1}$</tex></formula>Instituto Tecnológico de Buenos Aires, Buenos Aires, Argentina<formula formulatype="inline"><tex Notation="TeX">$^{3}$</tex></formula>Laser Research Institute, University of Stellenbosch, Matieland, South AfricaInstituto Tecnológico de Buenos Aires, Buenos Aires, ArgentinaInstituto Tecnológico de Buenos Aires, Buenos Aires, ArgentinaInstituto Tecnológico de Buenos Aires, Buenos Aires, ArgentinaWe 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 step-size 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.https://ieeexplore.ieee.org/document/6153336/Fiber nonlinear opticssupercontinuum generation |
| spellingShingle | A. A. Rieznik A. M. Heidt P. G. Konig V. A. Bettachini D. F. Grosz Optimum Integration Procedures for Supercontinuum Simulation IEEE Photonics Journal Fiber nonlinear optics supercontinuum generation |
| title | 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_short | Optimum Integration Procedures for Supercontinuum Simulation |
| title_sort | optimum integration procedures for supercontinuum simulation |
| topic | Fiber nonlinear optics supercontinuum generation |
| url | https://ieeexplore.ieee.org/document/6153336/ |
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