A theoretical model is presented describing continuous-wave operation about wavelength tunable Yb(3+):LSO (Yb(3+):Lu(2)SiO(5)) laser. In LSO host, Yb(3+) ion occupies two different Lu(3+) sites and the spectrum exhibits the inhomogeneously broadened property. Working as a computable model, it takes into account the pump absorption saturation, the re-absorption of laser, and the full spectral information of the laser transition. The calculated results are compared with the experimental results, and it verifies the validity of the model. Then the laser performances for different Yb(3+) concentration, crystal length, and the transmission of the output mirror are predicted.
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