Analytic modeling of the P-doped cascaded Raman fiber lasers

An approximate analytic model of the P-doped cascaded Raman fiber lasers had been developed. The threshold pump powers for the first and the second Stokes radiation, output power, slope efficiency, and energy conversion efficiency had been solved and thus the optimization of the lasers could be discussed analytically. A fast numerical simulation of the laser based on the analytic model had also been carried out. Moreover, the comparison between the analytic and numerical solution was made.