Shooting method with excellent initial guess functions for multipoint pumping Yb3+-doped fiber lasers

Excellent initial guess functions for shooting method, providing for setting suitable initial estimates, are developed to solve multipoint pumping high power Yb3+-doped fiber lasers (YDFLs) model with boundary conditions. Simulation results show that shooting method with excellent initial guess functions can get rapidly the exact values of YDFLs after less than five iteration times. In excellent initial guess functions for signal power and pump power of 3-point pumping or 4-point pumping YDFLs, the guess value of conversion efficiency is greater than or equal to the critical guess value of conversion efficiency. The critical guess value of conversion efficiency is less than 0.21 for all the fiber length in three-point pumping or four-point pumping YDFLs. Comparing to number sequence transition method based on MATLAB BVP solvers of bvp4c(NSTM-bvp4c) and shooting method with answer ranges definition, the simple shooting method with excellent initial guess functions is more reliable and faster for multipoint pumping YDFLs.