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
Lasers and Laser Optics
Original Manuscript: March 30, 2010
Manuscript Accepted: May 5, 2010
Published: June 21, 2010
Marco Leonetti and Claudio Conti, "Haus/Gross–Pitaevskii equation for random lasers," J. Opt. Soc. Am. B 27, 1446-1451 (2010)