Time-Dependent Model of Eye-Safe Erbium-Doped YAG Laser

摘要

We have developed a time dependent model for the eye-safe laser emission at 1.6 μm, representing transitions from the manifolds 4I13/2 to 4I15/2 of trivalent Er-doped YAG (Y_3Al_5O_(12)). The model is based on a set of coupled first-order differential equations (rate equations) that describe the laser kinetics of this quasi-three level laser system. Also called zero-dimensional (0-D) equations, these equations are time only dependent with no spatial dimension dependency. The model is anchored to experimental results including the experimental Stark levels that are populated according to a Boltzmann distribution at room temperature. Emission cross section parameters are calculated using reciprocity methods from experimental absorption cross sections. A MATLAB code is written and the equations are solved numerically for output power and slope efficiency and threshold. The results are useful with significant progress towards predicting the published experimental laser data. This model can be optimized for its parameters such as output coupler reflectivity, ion concentration, etc and used for other hosts.