Study on rate equations and numerical analyzing for phosphate glass waveguide laser

We have developed a rigorous phenomenological model for analyzing Yb3+/Er3+-codoped phosphate waveguide lasers. The model is based on time-dependent laser rate equations for an Yb3+/Er3+-codoped laser host with multiple energy levels. We have used the model to predict the characteristics of waveguide lasers pumped by a 980-nm source. We also define and discuss the waveguide laser intensity distributions, host parameters, doping profiles, and the laser cavity design parameters. Solutions for the laser signal power, pump power, and populations of ion energy levels as functions of space and time are obtained for waveguide lasers.