Excellent initial guess functions for simple shooting method in Yb3+-doped fiber lasers |
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| Affiliation: | 1. Key Lab of All Optical Network &Advanced Telecommunication Network of EMC, Beijing Jiaotong University, Beijing 100044, China;2. Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China;3. Wuhan Vocational College of Software and Engineering, Wuhan 430205, China;1. Instituto Balseiro (CNEA – UNCuyo), Avenida Bustillo 9500, (8400) Bariloche, Argentina;2. Centro de Investigaciones Ópticas (CONICET La Plata – CIC), La Plata (1900), Argentina;3. Instituto de Tecnología, Facultad de Ingeniería y Ciencias Exactas, Universidad Argentina de la Empresa, Buenos Aires (C1073AAO), Argentina;1. School of Mobile Information Engineering, Sun Yat-sen University, Zhuhai 519082, China;2. Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China;3. ZJU-SCNU Joint Research Center of Photonics, South China Normal University (SCNU), Guangzhou 510006, China;4. Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
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| Abstract: | Excellent initial guess functions, providing for setting suitable initial estimates for simple shooting method, are developed to solve high power Yb3+-doped fiber lasers model with boundary conditions. When the guess value of slope efficiency is greater than or equal to the critical guess value of slope efficiency, the initial guess values of the forward signal power and backward pump power, generating from the excellent initial guess functions, are good initial guess values for the simple shooting method. Then, comparing the simulation results using our simple shooting method and the number sequence transition method based on MATLAB BVP solvers (NSTM-BVPs), the difference of the simulation results are less than given absolute error tolerance for different fiber length. Finally, we can conclude that the critical guess value of slope efficiency is less than 0.3 for all the fiber length, Yb3+-doped concentration, signal reflectivity and pump power. |
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| Keywords: | Simple shooting method Excellent initial guess functions |
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