Abstract
Detailed mathematical models are derived for the evolution of light pulses in gain‐switched laser oscillators. Unlike previous instantaneous‐switching models, arbitrary pump and spontaneous relaxation rates are considered. Explicit expressions are obtained for the gain and pulse characteristics in several practical situations, and both homogeneous and inhomogeneous limits are considered. By proper adjustment of the laser pump any output‐pulse shape can be obtained. The results are especially relevant for recent short‐pulse ultraviolet lasers and also for more conventional devices such as TEA CO2 lasers.