Rigrod theory was used to model outcoupled power from a low-gain laser
with pod accuracy. For a low-gain overtone cw HF chemical laser, Rigr
od theory shows that a higher medium saturation yields a higher overal
l overtone efficiency, but does not necessarily yield a higher measura
ble power (power in the bucket). For low-absorption-scattering loss ov
ertone mirrors and a 5% penalty in outcoupled power, the intracavity f
lux and hence the mirror loading may be reduced by more than a factor
of 2 when the gain length is long enough to saturate the medium well.
For the University of Illinois at Urbana-Champaign overtone laser that
has an extensive database with well-characterized mirrors for which t
he Rigrod parameters go and It were firmly established, the accuracy t
o which the reflectivities of high-reflectivity overtone mirrors can b
e deduced by using measured mirror transmissivities, measured outcoupl
ed power, and Rigrod theory is approximatly +/-0.07%. This method of a
ccurately deducing mirror reflectivities may be applicable to other lo
w-gain laser systems that use high-reflectivity mirrors at different w
avelengths. The maximum overtone efficiency is estimated to be approxi
mately 80%-100%.