Rate equations for active Q-switched ruby and alexandrite laser

To have a complex view on giant pulse generation, a more precise computer model of the build-up Q-switch pulse in solid-state laser was realized. As the time starting point of the rate equation calculation, the moment of a flashlamp trigger was chosen. A set of four main differential rate equations describes the energy transfer from a pumping source - capacitor to an output giant pulse. Two laser active media, i.e. ruby and alexandrite, were examined with this model. An active Q-schwitching in both cases were realized by electro-optical Pockels cell based on KDDP (for ruby oscillator) or LiNbO3(for the alexandrite laser) crystals. The numerical solution of the rate equations was compared with the measured experimental data and a good agreement has been obtained.