EN
A mathematical model for describing the polarization effect of the intracavity frequency-doubling of a simultaneous passively Q-switched and mode-locked diode-pumped Nd^{3+}-laser has been demonstrated. The generated polarized waves are assumed to be fixed through the lasing cycle. The maximum absorber initial transmission and the minimum mirror reflectivity values have been determined from the second threshold criterion. The calculated numerical results demonstrate the impact of the variation of the input laser parameters on the characteristics of the output laser pulses. The calculated results are in good agreement with the available experimental data reported in references.