3rd International Conference on Mathematical Modeling in Physical Sciences | |
Crank-Nicholson method for rate equations in powder random lasers | |
物理学;数学 | |
García-Ramiro, B.^1 ; Illarramendi, M.A.^2 ; Zubia, J.^3 | |
Department of Applied Mathematics, E.U. Ingeniería Técnica Industrial de Bilbao, Universidad Del País Vasco UPV/EHU, Paseo Rafael Moreno Pitxitxi 3, Bilbao | |
48013, Spain^1 | |
Department of Applied Physics i, Escuela Superior de Ingeniería, Universidad Del País Vasco UPV/EHU, Alda. Urquijo s/n, Bilbao | |
48013, Spain^2 | |
Department of Communications, Escuela Superior de Ingeniería, Universidad Del Pais Vasco UPV/EHU, Alda. Urquijo s/n, Bilbao | |
48013, Spain^3 | |
关键词: Coupled equation; Crank-Nicholson method; Diffusion equations; Dopant molecules; Incident pulse; Light diffusion; Pumping schemes; Two-photon excitations; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012077/pdf DOI : 10.1088/1742-6596/574/1/012077 |
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来源: IOP | |
【 摘 要 】
In this work, we show the resolution of the rate equations in powder random lasers by using the Crank-Nicholson finite difference method. Light propagation in our powders is described by the model of light diffusion. The generalized time-dependent random laser equations describing our system are formed by three differential coupled equations: two diffusion equations for the pump and emitted light and a rate equation for the density of the dopant molecules in the excited state. The system has been solved for two pumping schemes (one-photon and two-photon excitation) and for a wide range of temporal incident pulses (from femtoseconds to nanoseconds).
【 预 览 】
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Crank-Nicholson method for rate equations in powder random lasers | 634KB | download |