Abstract
An analytical model of a CW pumped passively Q-switched laser in plane wave approximation is presented. The model was based on possibility to express the analytical solution of simplified rate equations with the help of LambertW function. The LambertW function is now commonly available in most of mathematical software and became to be easy to use. The significant simplification of saturable absorber dynamics is made and its presence is described only by its initial and saturated transmission. Using this model it is possible to estimate giant pulse parameters, like pulse length and energy density, the pulse repetition rate, and the laser input-output power characteristic. The validity limits of this model were verified using numerical solution of more complicated rate equations model which included nonlinear response of the modulator. The model was compared with experimental results obtained for passively Q-switched diode pumped Nd:YAG/V:YAG microchip laser.
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