Time Dependent Theory for Random Lasers

Details Time Dependent Theory for Random Lasers Time Dependent Theory for Random Lasers

2000-02-24

arxiv.org/abs/cond-mat/0002370v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages. Send to PRL

Scientific paper

10.1103/PhysRevLett.85.70

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field pattern and the spectra of localized lasing modes inside the system. A critical pumping rate $P_{r}^{c}$ exists for the appearance of the lasing peaks. The number of lasing modes increase with the pumping rate and the length of the system. There is a lasing mode repulsion. This property leads to a saturation of the number of modes for a given size system and a relation between the localization length $\xi$ and average mode length $L_m$.

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