Parabolic approximation in Kleinman's mechanical approach to laser spiking analysis

Spiking patterns observed at the output of lasers have been widely used to predict their dynamic behavior. The light output of a laser was associated with the coordinate of a particle moving in a potential well by Kleinman (1964). In this paper, this mechanical analogy is revisited so as to investigate a new approximation which might greatly simplify the relationships that determine the rate equations’ parameters. A ruby laser numerical example is presented to highlight the consistency of the proposed approximation near the equilibrium point.