We investigate the polarization properties of the lowest-order transve
rse patterns in two different CO2 Fabry-Perot lasers. Emission on the
fundamental mode TEM0,0 is always linearly polarized in a fixed direct
ion. The annular intensity pattern TEM0,1 may have one of two differe
nt underlying polarization states: either linear polarization that is
the same as for the fundamental mode or the superposition of two Gauss
-Hermite modes with different optical frequencies and with linear and
nearly orthogonal polarizations. Transitions among these three pattern
s are obtained by varying the cavity detuning. The two underlying pola
rization states of the annular intensity pattern can be explained usin
g a simple model that includes anisotropies in both the cavity losses
and the detuning for the Gauss-Hermite modes. We also provide an expla
nation of the relationship between the possible polarization states an
d the corresponding spatial patterns that form an annular intensity pa
ttern.