The magneto-optic effect called mode-crossing is investigated. The crossings are produced with a polarization-stabilized two-mode 633-nm He-Ne laser. The beam from the laser interacts with a thermal neon gas absorber placed outside the laser. The absorber is in a tunable longitudinal magnetic field. The investigations are focused on the behavior of the crossing signals when the laser mode polarizations are varied. Both linearly and circularly polarized modes are used. The results are compared with conclusions that are drawn from couplings between the Zeeman sublevels in <i>J</i> = 1 to <i>J</i> = 0 systems. It is found that the number and the strength of mode-crossings can be controlled by selections of the mode polarizations.
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