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