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Haus/Gross–Pitaevskii equation for random lasers

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Abstract

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.

© 2010 Optical Society of America

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