2018/05/30 by Sriram Nagaraj, Nagaraj, S., Jacob Grosek +7
Engineering · Physics and Astronomy · #65J15 #65M60 #65N30 #78A60 #78M10 #Advanced Fiber Laser Technologies #Advanced Fiber Optic Sensors #FOS: Mathematics #Numerical Analysis (math.NA) #Photonic Crystal and Fiber Optics
paper · pdf · doi:10.48550/arxiv.1805.12240
openalex publication_date 2018/05/30 · openalex created_date 2018/06/13 · openalex updated_date 2026/07/28
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.