The light of a stabilized 633 nm He-Ne transverse Zeeman laser (STZL) is composed of two linearly polarized components in orthogonal relation and with different frequencies. The state of polarization of this light is represented by a spin around the S1 axis of the Poincaré sphere. In another words the relative phase between the two orthogonal components is temporarily modulated, not with the conventional vibratory mode but with monotonically increasing mode. Three types of optical measurement by the use of a STZL are proposed and demonstrated by basic experiments.