A mathematical model, based exclusively on spectroscopic data concerni
ng radiative, nonradiative, and energy transfer processes, is proposed
and used to simulate the Q-switch regime of a 3-mu m Er:YAG laser, Th
e connection between the main energy transfer mechanisms that make pos
sible generation on the self-saturated transition I-4(11/2) --> I-4(13
/2) (upconversion from I-4(13/2) and I-4(11/2) and cross relaxation fr
om S-4(3/2)) and the giant pulse characteristics are discussed. The ra
diative as well as nonradiative losses during optical pumping and gian
t pulse generation are defined and evaluated. A particular attention i
s given to the frustrated total internal reflection (FTIR) Q-switch wh
ich demonstrated real qualities for 3-mu m erbium lasers. The reasons
responsible for experimental performances of Q-switched Er:YAG lasers
inferior to those predicted by the mathematical modeling are analyzed.