Effect of thermal noise on random lasers in diffusion regime

•This article is about the random laser in diffusion regime under thermal noise consideration.•In the first approximation we consider the same thermal noise for the random material and for probe and pump beams.•The four coupled laser equations with diffusion and thermal noise terms are simultaneously solve.

In this paper, we study the effects of thermal noise on the time evolution of a weak light pulse (probe) in the presence of a strong light pulse (pump) within a gain medium which includes random scatterer particles. Suitable thermal noise term is added to a set of four coupled equations including three diffusion equations for energy densities and a rate equation for the upper level population in a four-level gain medium. These equations have been solved simultaneously by Crank–Nicholson numerical method. The main result is that the back-scattered output probe light is increased as the thermal noise strength is increased and simultaneously, with the same rate, the amplified spontaneous emission is decreased. Therefore, the amplified response of the random laser in diffusion regime for the input probe pulse is enhanced due to effect of the thermal noise.