The spectral and temporal processes in broadband pulsed dye laser emissions are analysed by using a system of rate equations extended to multi-wavelengths. In such procedure, relaxation oscillations and their spectral evolution are investigated. The occurrence of oscillations depends not only on dye molecular parameters but also on cavity and pumping parameters. Both in cases of the oscillating and non-oscillating emission regime, a similar process of spectral evolution occurs, but at different rate. A very fast spectral evolution is found in the broadband pulsed laser emissions from low-Q and short cavities.
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