The space-dependent rate equations of passively Q-switched intracavity frequency-doubled diamond Raman lasers are deduced for the first time. The rate equations are normalized and solved numerically to investigate the influences of the normalized parameters (the normalized Raman gain coefficient, the normalized initial population inversion density, the normalized frequency doubling factor, saturable absorber parameter, the coupling rate of the pump beam and fundamental beam in the laser medium, the normalized loss factor, and etc) on the laser pulse parameters (pulse energy, peak power and pulse width). The new theories and numerical results will help design passively Q-switched intracavity frequency-doubled diamond Raman lasers of high performance.
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