Using a model for the quasi three-level laser dealing with Gaussian waves,
taking into account the saturation of the pump, the stimulated emission at
the pump wavelength, the variation of the pump and laser waists along propa
gation ( important for laser diode pumping) and the variation of the laser
intensity along propagation, we evaluate the more promising Yb3+-doped crys
tals for laser applications: YAG, LNB, GdCOB, YCOB, YAB, C-FAP, S-FAP, CLYP
A, KGdW, KYW, Sc2O3, Y2O3, Lu2O3. Our evaluation, established for the CW os
cillator regime, differs from that of Deloach and coworkers valid for ns pu
lse extraction mode. KYW, KGdW and Sc2O3 are found to be the most efficient
when considering the laser extracted power and S-FAP, C-FAP, YAG, KYW and
KGdW are the most efficient when considering the small-signal gain of the a
mplifier regime.