Modelling and optimization of Pr+Yb doped ZBLAN up-conversion fiber laser

In this work we present our theoretical investigations on optimization of double doped up-conversion fiber laser, operating in the visible part of spectrum. The developed mathematical model, based on measured spectroscopic parameters, enables analysis of influences of the active fiber and resonator parameters on the threshold and above-threshold laser characteristics. In particular, we discuss the behavior of output power versus the pumping power and mirror reflectances for the basic optical transitions in praseodymium ion, corresponding to the lasing in red, green and blue range.