Crank-Nicholson method for rate equations in powder random lasers
García Ramiro, María Begoña
Illarramendi Echave, María Aránzazu
Zubia Zaballa, Joseba Andoni
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Journal of Physics Conference Series 574 : (2015) // Article ID 012077
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).