Crank-Nicholson method for rate equations in powder random lasers. (21st January 2015)

• Record Type: Journal Article
• Authors: García-Ramiro, B; Illarramendi, M A; Zubia, J
• Is Part Of: Journal of physics. Number 574(2015)
• Page Start: 012077
• Publication Date: 2015-01-21
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/574/1/012077
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: 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).