Misunderstandings concerning earlier work are clarified. The crucial role attributed to noncoincidence of the polarization states of the counterpropagating waves in a saturated gas laser is questioned.
The optical anisotropy induced by a saturating stationary field in a gas laser which is initially isotropic is described theoretically. The calculation of the polarizability tensor shows that linear or circular anisotropies can be induced depending upon the electromagnetic field polarization. The Jones matrix formalism is extended to the nonlinear case. The experimental verification of the predicted linear gain anisotropy in a He-Ne laser is obtained at 3.39 \ensuremath{\mu}m. The Jones matrix for a probe field in this particular case is also calculated. The corresponding linear anisotropy is attributed to Zeeman coherences between sublevels. Moreover, we find that the maximum of this anisotropy is slightly shifted from the center of the line.
The physical processes that form the resonances of saturated absorption and magnetic scanning in the field of counterpropagating waves of an arbitrary intensity when their polarizations change are numerically simulated. The atomic transition with level moment J = 1 is used as an example to show that the anomalies in the experimental saturated absorption spectra are determined by the degree of opening of the atomic transition. In the case of magnetic scanning, the anomalies are caused by the magnetic coherence induced by the wave fields at the levels of the lower state rather than by its transfer from the excited states, as was proposed earlier.