Crank-Nicholson method for rate equations in powder random lasers

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 for...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2015-01, Vol.574 (1), p.12077-4
Main Authors: García-Ramiro, B, Illarramendi, M A, Zubia, J
Format: Article
Language:English
Subjects:
Crank-Nicholson method
Density
Differential equations
Diffusion
Diffusion pumps
Diffusion rate
Excitation
Finite difference method
Lasers
Mathematical analysis
Mathematical models
Nanostructure
Photons
Physics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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).
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/574/1/012077