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Simplified analytic solutions and a novel fast algorithm for Yb-doped double-clad fiber lasers
Authors:Zhengqian Luo  Guoyong Sun  Zhiping Cai  Miaoling Si  Qibo Li
Affiliation:Department of Electronic Engineering, Keyan 2-508 of Haiyun, Xiamen University, Xiamen 361005, China
Abstract:In this paper, continuous wave Yb3+-doped double-clad fiber lasers (DCFLs) with linear-cavity are investigated theoretically and numerically using the rate equations. Under the steady state conditions, the simplified analytic solutions of Yb3+-doped DCFLs under considering the scattering loss are deduced in the strongly pump condition. Compared with the known analytic solutions in published literatures, our analytic solutions are more accurate, especially, at higher reflectivity of output mirror. In addition, a fast and stable algorithm based on the Newton-Raphson method is proposed to simulate numerically Yb3+-doped DCFLs. The results by simplified analytic solutions are in good agreement with those by the numerical simulation. Moreover, we have performed the optimization of an Yb3+-doped DCFL using the simplified analytic solutions and the numerical simulations, respectively.
Keywords:Double-clad fiber lasers   Simplified analytic solutions   Fast algorithm   Numerical simulation
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