We show that, in an optically pumped resonant J = 1 --> J' = 0 laser,
a grain anisotropy is induced by a linearly polarized coherent pump be
am that can be balanced or countered by x-y cavity-loss anisotropies,
leading to switching between the x and y linearly polarized states of
the generated laser field as the laser intensity is increased. This sw
itching is not brought about by selection of the mode with the maximum
emission intensity. A domain of bistability between the two Linearly
polarized states is found, whose width depends on the value of the dec
ay rate of the two photon coherence induced among the sublevels of the
J = 1 level manifold. Differently from the incoherently pumped J = 1
--> J' = 0 laser, the decay rate for the magnetic dipole in that manif
old has no influence on the polarization of the emission.