Improved shooting algorithm using answer ranges definition to design doped optical fiber laser

Theoretical Study of the Thermal Distribution in Yb-Doped Double-Clad Fiber Laser by Considering Different Heat Sources

“…The gain of fiber laser is defined as [26,43]: (13) in which the gain coefficient at the lasing wavelength is given by [2,43]:…”

“…Each of Eqs. (26) and (27) consists of two boundary conditions (the temperature and its derivative are continuous at the boundaries). So there are six boundary conditions that determine all the constant values.…”

“…In the high power fiber lasers by assuming a large value for the dopant concentration with respect to the upper state level, the rate equations have a analytical or quasi-analytical solution [2,[23][24][25]. Shooting method with different algorithms can give the most exact solution for the boundary value problems [26,27], but the stability of the solution depends on the initial values [28]. The simple superfluorescent model (SSM) for describing the gain in active fibers is the simplest method that gives a fast and exact solution with Newton-Raphson or Runge-Kouta algorithms [28].…”

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

“…Compared to shooting method [4][5][6][7][8], MATLAB BVP solvers as a popular technique for solving boundary value problems, is approximated over the whole interval and the boundary conditions are automatically satisfied at all time. A good guess is absolutely essential to solve the MATLAB BVPs' flaws itself failing to converge or convergent to error results [9].…”