Sagnac interferometry and the impact of conductivity-dependent Raman gain on rotary photon drag

We theoretically demonstrate the impact of conductivity-dependent Raman gain (RG) on rotary photon drag (RPD) in a Sagnac interferometer (SI). The presence of conductivity-dependent Raman gain results in enhanced RPD angles, ranging from theta d = +/- 0.56 radians to theta d = +/- 0.7 radians. The susceptibility, group index, relativistic group velocities, and RPD exhibit significant fluctuations with changes in the conductivity phase. Specifically, we observe gain-singlets when the control field is deactivated, while gain doublets are achieved when the control field is activated. Moreover, within the gain regions, we observe normal dispersion, whereas anomalous dispersion is observed around the gain regions. These findings have potential applications in controlled image coding/design, four-wave mixing, photo detectors, light modulation, and phase-matching in Brillouin scattering.