Rate equations and their solutions of laser-diode-pumped repetitively passively Q-switched lasers by taking into account the spatial variation of pumping and intracavity photon density

This paper presents the experimental results of a CW laser-diode end-pumped passively Q-switched Nd3+:YAG laser with a Cr4+:YAG saturable absorber and two groups of theoretical results. The first group is obtained by numerically solving the passively Q-switched laser rate equations in which the spatial variation of pumping and intracavity laser intensity is taken into account. The second group is obtained from the analytical solutions of Q-switched laser rate equations under the planewave approximation. The comparison shows that the first group is more close to the experimental results.