Good guess functions for MATLAB BVP solvers in multipoint pumping Yb3+-doped fiber lasers

Abstract

Including constant, linear function and exponential function, three good guess functions of forward signal power are developed to deal with the difficulty of setting suitable estimates in the multipoint pumping Yb3+-doped double-cladding fiber lasers (YDCFLs) model with boundary conditions using MATLAB BVP solvers. Simulation results show that three good guess functions can get rapidly the exact values of YDCFLs after only one iteration times. Among three good guess functions, conversion efficiency critical guesses of linear functions are more stable than those of constant and exponential functions at different fiber lengths. Furthermore, the more pump points, the smaller fluctuations of conversion efficiency critical guesses in linear functions at different fiber lengths. Conversion efficiency critical guesses of linear functions keep small fluctuations with the increases of pump powers at different points pump.