Cr4+-doped saturable absorbers are characterized by long excited state
lifetime and appreciable excited state absorption, In this paper, we
first solve the three coupled rate equations describing the operation
of Cr4+-doped saturable-absorber passively Q-switched lasers to obtain
the expressions of pulse characteristics such as output energy, peak
power, and pulsewidth, We then determine the key parameters of an opti
mally coupled passively Q-switched laser as functions of two variables
concerning the amplifying medium, saturable-absorber medium, and pump
level, and generate several design curves, These keg parameters inclu
de the optimal normalized coupling parameter and the optimal normalize
d saturable-absorber parameter which maximize the output energy (or ma
ximize the peak power, or minimize the pulsewidth), and the correspond
ing normalized energy, normalized peak power, and normalized pulsewidt
h. The results are valid for not only Cr4+-doped saturable-absorber Q-
switched lasers but also other any lasers passively Q-switched by satu
rable absorbers with long excited state lifetime and appreciable excit
ed state absorption, Using the expressions and design curves, with the
aid of a simple hand calculator, one can predict the pulse characteri
stics and perform the design of an optimally coupled passively Q-switc
hed laser.