In this paper we investigated the dynamics of the processes
occurring in a Q-switched laser. This work was stimulated by the
lack of data on the spatial and temporal development of generation,
despite the obvious importance of such data in the use of giant
light pulses in in vestigations of the nonlinear interaction of
radiation and matter. From a systematic con sideration of a
relatively simple model of a Q-switched laser we analytically
investigated two main phases of development of the giant pulse -
the phase of linear development of generation, which begins with
amplification of the spontaneous emission in the modes, and the
phase of nonlinear transverse development, during which the giant
light pulse proper is emitted. In ad dition, fo r a thorough inve
stigation of the picture of development of the pulse as a whole the
equations were numerically integrated. ' Subsequent experiments
[26, 27] confirmed the occurrence of transverse development of the
giant pulse, while recent experiments on nonlinear amplification
[28] have shown the sig nificance of this effect in the propagation
of the giant pulse in a nonlinear medium. A know ledge of the
transverse development of the giant pulse would appear to be
essential for the exact determination of the true strength of the
light field in experiments on multi photon pro cesses [29]. The
developed theory also leads to recommendations for the design of
lasers to generate giant light pulses of minimum length and minimum
divergence of emission.
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