Spectro-temporal behavior of dye-based solid-state random lasers under picosecond pumping regime: part II

In a very recent work the spectral and temporal properties of the random laser emission from solid state dye-doped powders have been investigated by the authors in picosecond pumping regime. The emission shows within each pulse, peaks of more intensity than background, and of a spectro-temporal width at the theoretical limit (ΔωΔt≅1), even in conditions well below the threshold. The relationship between the distribution of paths lengths traveled by photons inside the active medium, and the amplification by stimulated emission explains this behavior. The aim of the present work is to propose a simple model that, in addition to explaining these characteristics of the emission, is compatible with the energetic properties of the material. Particularly interesting is the behavior predicted by the model for the emission decay in sub-threshold conditions, as well as its very good fit with the experimental measurements and its comparison with the one found in low dispersive media, that shows the decisive effect of scattering. The set of results is hardly compatible with a mode structure.