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Dynamic mode analysis with arbitrary rate equations

This work demonstrates a new simulation technique, which combines the previously published Dynamic Mode Analysis with the coupling of arbitrary sets of rate equations. Those arbitrary sets include the representation of gain media, which state population is influenced by interionic mechanisms. Especially the state population of Er:YAG is strongly influenced by upconversion and cross relaxation, which impacts the population inversion and the generated heat load. Therefore, the simulation of a resonator based on 50%-doped Er:YAG is performed and compared to experimental results. The accuracy of the presented technique is pointed out by a fine agreement between simulation and experiment with respect to gained cw output power and slope efficiency. Moreover, a finite element analysis of the heat load and the 3-dimensional population inversion in the crystal is illustrated.