Analytical results of the switch on statistics in distributed feedback laser diodes by short triangular pulses

The results of a theoretical analysis of the first passage time statistics in single mode diode lasers are reported. A fast triangular current pulse is used to drive a semiconductor laser in order to approximate working conditions close to those obtained when the transmission rate is limited by the parasitics of the driving circuit. The results show a very good agreement with numerical simulations of the nonlinear evolution of the dynamical system demonstrating the accuracy of the approximations involved in our theory.