A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers
We propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, we are interested in a truly full vectorial approach. We apply the ultraweak DPG formulation, which is known to carry des...
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Elsevier
2019-03-01
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| Series: | Journal of Computational Physics: X |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590055219300010 |
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doaj-1da0836fdcbc4405a2beb360955b4ae02020-11-25T01:40:01ZengElsevierJournal of Computational Physics: X2590-05522019-03-012A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiersSriram Nagaraj0Jacob Grosek1Socratis Petrides2Leszek F. Demkowicz3Jaime Mora4Federal Reserve Bank of Atlanta, Atlanta, GA 30309, USA; Corresponding author.Kirtland Air Force Base, Albuquerque, NM 87123, USAInstitute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USAInstitute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USAInstitute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USAWe propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, we are interested in a truly full vectorial approach. We apply the ultraweak DPG formulation, which is known to carry desirable properties for high-frequency wave propagation problems, to the coupled Maxwell signal/pump system and use a nonlinear iterative scheme to account for the Raman gain. This paper also introduces a novel and practical full-vectorial formulation of the electric polarization term for Raman gain that emphasizes the fact that the computer modeler is only given a measured bulk Raman gain coefficient. Our results provide promising qualitative corroboration of the model and methodology used. Keywords: Discontinuous Petrov-Galerkin method, Raman gain, Nonlinear optical fiber laser amplifier, Higher order finite element methodshttp://www.sciencedirect.com/science/article/pii/S2590055219300010 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sriram Nagaraj Jacob Grosek Socratis Petrides Leszek F. Demkowicz Jaime Mora |
| spellingShingle |
Sriram Nagaraj Jacob Grosek Socratis Petrides Leszek F. Demkowicz Jaime Mora A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers Journal of Computational Physics: X |
| author_facet |
Sriram Nagaraj Jacob Grosek Socratis Petrides Leszek F. Demkowicz Jaime Mora |
| author_sort |
Sriram Nagaraj |
| title |
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers |
| title_short |
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers |
| title_full |
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers |
| title_fullStr |
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers |
| title_full_unstemmed |
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers |
| title_sort |
3d dpg maxwell approach to nonlinear raman gain in fiber laser amplifiers |
| publisher |
Elsevier |
| series |
Journal of Computational Physics: X |
| issn |
2590-0552 |
| publishDate |
2019-03-01 |
| description |
We propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, we are interested in a truly full vectorial approach. We apply the ultraweak DPG formulation, which is known to carry desirable properties for high-frequency wave propagation problems, to the coupled Maxwell signal/pump system and use a nonlinear iterative scheme to account for the Raman gain. This paper also introduces a novel and practical full-vectorial formulation of the electric polarization term for Raman gain that emphasizes the fact that the computer modeler is only given a measured bulk Raman gain coefficient. Our results provide promising qualitative corroboration of the model and methodology used. Keywords: Discontinuous Petrov-Galerkin method, Raman gain, Nonlinear optical fiber laser amplifier, Higher order finite element methods |
| url |
http://www.sciencedirect.com/science/article/pii/S2590055219300010 |
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