Abstract
The rate equations for the ruby-laser are solved approximately for large deviations from the steady state by neglecting the damping of the oscillation. The analytic solutions are compared with numerical solutions and experimental values. In contrary to well know small-amplitude solutions of the linearized rate-equations the large-amplitude solutions describe very well the spiking-behaviour of the ruby und the spike-shape. The non-stationary behaviour can be described by only one valueQ*, which characteristizes the laser and contains all special properties of the laser-resonator as there are: loss-rate, number of active modes, pumping-rate, transition probabilities, etc. An experimental arrangement for the determination ofQ* is given. Relations between spikehalfwidth, spiking-frequency, maximum outputpower, steady-state-values and pumpingpower are derived and experimentally confirmed.
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