A theoretical treatment is given of the dynamical and steady-state beh
avior of an anisotropic laser. The model is based on a homogeneously b
roadened, pumped J=1/2 <----> J=1/2 atomic transition, and is solved t
o all orders of the electric field, in contrast to previous studies of
anisotropic lasers. A survey of the system behavior is presented, and
complementary analytic descriptions developed to describe the small-
and large-field evolutions are given. The small-field polarization beh
avior is shown to be oscillatory ir! general, and dominated by the pro
perties of the cavity. The large-held description allows the polarizat
ion stability of the final output states to be analyzed, and shows tha
t stable steady states in this regime must be linearly polarized along
either one or the other of the two anisotropy axes. The possible rang
e of cavity lengths which allows bistable output between these two pol
arizations is characterized analytically, and a regime identified wher
e the polarization undergoes sustained oscillation.