Abstract
Here a detailed formalism to achieve an analytical solution of a lossy high power Yb-doped silica fiber laser is introduced. The solutions for the lossless fiber laser is initially attained in detail. Next, the solution for the lossy fiber laser is obtained based on the lossless fiber laser solution. To examine the solutions for both lossless and lossy fiber laser two sets of values are compared with the exact numerical solutions and the results are in a good agreement. Furthermore, steps and procedures for achieving the final solutions are explained clearly and precisely.
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