Theoretical Review of the Pulse Generation in Dual- Locked Semiconductor Lasers: Asymptotic and Numerical Computation

In this article, the conditions of pulse production in two mutually coupled lasers are studied. based on the obtained characteristic equation and its roots, the dynamical behavior of the system and the threshold of the instability are analyzed. for the stable operation of the system and with the use of the time series curves, it is possible to study the dynamical behavior and the stability ranges of the laser in the presence of the saturable absorber and the gain environment. this paper aims to achieve from quasi-periodic behavior in a solitary laser to the generation of a pulse train from two mutually coupled lasers in the presence of saturable absorbers. also, the stability range for a solitary laser and then for two coupled lasers in the presence of saturable absorbers have been studied.