We show theoretically that patterns with concentric rings of bright or dark
spots made up by modes with coprime azimuthal indexes may arise in codimen
sion one bifurcations in optical systems with a metallic diffractor, a pola
rizer, and a nonlinear medium. These patterns are a consequence of diffract
ion-induced polarization in systems without polarization dynamics. As an ex
ample of this type of system, we investigate numerically the symmetry-break
ing bifurcations of a ring laser with a metallic duct and a polarizer insid
e the optical cavity.