A combined algorithm for simulating fiber lasers based on the shooting and relaxation methods

The characteristics of the shooting and relaxation methods for solving the model of an ytterbium-doped double-clad fiber laser are discussed in detail by comparing their accuracies. Accordingly we propose a combined algorithm by taking advantage of the merits of both methods, which can automatically adjust initial trial values in calculations according to the desired requirement of accuracy. The results for verifying the efficiency and reliability of our proposed algorithm show that the level of accuracy and speed can completely satisfy the conventional requirements of numerical simulations.

► The characteristics of the shooting and relaxation methods are compared.
► We propose a combined algorithm based on the shooting and relaxation methods.
► Our new algorithm can automatically adjust initial trial values in calculations.
► Our new algorithm has high calculation accuracy and speed.