Abstract
In response to recently developed experimental techniques in solid-state lasers we have developed a model of the transient behavior of an end-pumped, injection seeded laser. The model describes the four-level operation of a general solid-state laser; the focus of numerical work is specifically for the Ti-doped sapphire laser system. In this paper we report on our analysis of the quantitative behavior of the solution and we prove a number of qualitative properties of the model system; the most important of these is that the system is asymptotically stable
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