A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers
We provide a systematic analysis of geometric parametric instabilities in nonlinear graded-index multimode fibers. Our approach implicitly accounts for self-focusing effects and considers dispersion processes to all orders. It is shown that the resulting parametric problem takes the form of a Hill’s...
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Format: | Article |
Language: | English |
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AIP Publishing LLC
2019-02-01
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Series: | APL Photonics |
Online Access: | http://dx.doi.org/10.1063/1.5044659 |
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author | H. E. Lopez-Aviles F. O. Wu Z. Sanjabi Eznaveh M. A. Eftekhar F. Wise R. Amezcua Correa D. N. Christodoulides |
author_facet | H. E. Lopez-Aviles F. O. Wu Z. Sanjabi Eznaveh M. A. Eftekhar F. Wise R. Amezcua Correa D. N. Christodoulides |
author_sort | H. E. Lopez-Aviles |
collection | DOAJ |
description | We provide a systematic analysis of geometric parametric instabilities in nonlinear graded-index multimode fibers. Our approach implicitly accounts for self-focusing effects and considers dispersion processes to all orders. It is shown that the resulting parametric problem takes the form of a Hill’s equation that can be systematically addressed using a Floquet approach. The theory developed indicates that the unstable spectral domains associated with such geometric parametric instabilities can be significantly altered as the power levels injected in a parabolic multimode fiber increase. These predictions are in excellent agreement with experimental data gathered from graded-index multimode structures. |
first_indexed | 2024-12-19T14:48:34Z |
format | Article |
id | doaj.art-9a6e918727eb453883b6600c8bbf1cdc |
institution | Directory Open Access Journal |
issn | 2378-0967 |
language | English |
last_indexed | 2024-12-19T14:48:34Z |
publishDate | 2019-02-01 |
publisher | AIP Publishing LLC |
record_format | Article |
series | APL Photonics |
spelling | doaj.art-9a6e918727eb453883b6600c8bbf1cdc2022-12-21T20:16:53ZengAIP Publishing LLCAPL Photonics2378-09672019-02-0142022803022803-710.1063/1.5044659006894APPA systematic analysis of parametric instabilities in nonlinear parabolic multimode fibersH. E. Lopez-Aviles0F. O. Wu1Z. Sanjabi Eznaveh2M. A. Eftekhar3F. Wise4R. Amezcua Correa5D. N. Christodoulides6CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USACREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USACREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USACREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USASchool of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USACREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USACREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USAWe provide a systematic analysis of geometric parametric instabilities in nonlinear graded-index multimode fibers. Our approach implicitly accounts for self-focusing effects and considers dispersion processes to all orders. It is shown that the resulting parametric problem takes the form of a Hill’s equation that can be systematically addressed using a Floquet approach. The theory developed indicates that the unstable spectral domains associated with such geometric parametric instabilities can be significantly altered as the power levels injected in a parabolic multimode fiber increase. These predictions are in excellent agreement with experimental data gathered from graded-index multimode structures.http://dx.doi.org/10.1063/1.5044659 |
spellingShingle | H. E. Lopez-Aviles F. O. Wu Z. Sanjabi Eznaveh M. A. Eftekhar F. Wise R. Amezcua Correa D. N. Christodoulides A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers APL Photonics |
title | A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
title_full | A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
title_fullStr | A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
title_full_unstemmed | A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
title_short | A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
title_sort | systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers |
url | http://dx.doi.org/10.1063/1.5044659 |
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