An efficient and robust scheme for controlling the states of polarization in a Sagnac interferometric configuration

We present a convenient, efficient, and robust scheme for controlling the states of polarization and then generating vector fields using a closed-loop Sagnac interferometric configuration. A geometric phase introduced by the wave plates is used to control the phase shift between the two counterpropagating orthogonally linearly polarized fields. A space-variant phase plate substitutes for a spatial light modulator as a space-variant phase device. We have demonstrated experimentally that this scheme has an efficiency beyond 83% converting the input traditional linearly polarized laser into the vector fields. This scheme should also be efficient and reliable for creating the ultrashort-pulsed, high-power, and single-photon vector sources.