Haus/gross-pitaevskii equation for random lasers

摘要

We report on experimental tests of the trend of random laser linewidth versus pumping power as predicted by a Haus master equation that is formally identical to the one-dimensional Gross-Pitaevskii equation in a harmonic potential. Experiments are done by employing picosecond pumped dispersions of titanium dioxide particles in dye-doped methanol. The derivation of the master equation is also detailed and shown to be in agreement with experiments analytically predicting the value of the threshold linewidth.