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