A 3D DPG Maxwell Approach to Nonlinear Raman Gain in Fiber Laser Amplifiers
arXiv:1805.12240
Abstract
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.
32 pages, 15 figures, submitted to Journal of Computational Physics
References in corpus (4)
- High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
- On perfectly matched layers for discontinuous Petrov-Galerkin methods
- Using a DPG method to validate DMA experimental calibration of viscoelastic materials
- Fast integration of DPG matrices based on tensorization