C. Schütte, M. Dinand, G. W. Zumbusch, and R. Brinkmann.
Dynamics of Erbium-doped waveguide lasers: Modelling, reliable
simulation, and comparison with experiments.
Technical Report SC-95-19, Konrad-Zuse-Zentrum, Berlin, Germany,
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A theoretical investigation of the dynamic properties of integrated optical Erbium doped waveguide lasers is presented. It includes the construction of a physical model and of numerical techniques which allow reliable simulations of the dynamical behaviour of the laser signal depending on essential parameters of the laser device and on its external, time-dependent pump radiation. Therefore, a physical theory is developed which describes the propagation of light and its interaction with the active substrate in the laser cavity. This is realized in two steps. First, a fundamental model based on Maxwell's equations and on rate equations for the transitions in the active medium is constructed. Since this turns out to prohibit reliable simulations, it is, in a second step, reformulated via averaging in time and space which suppresses the fluctuations on the fastest time scales but represents them correctly. For this reduced model reliable and efficient simulation techniques using adaptive control schemes are designed and implemented. We apply the linear implicit Euler discretization with extrapolation in time and a multilevel quadrature scheme in space. Finally the model is justified in comparison with experimental observations in four cases of technological relevance.