Abstract: Optical phase control elements are based on the Pancharatnam phase. Tunable liquid crystal devices containing the optical phase control elements may include a liquid crystal cell between a pair of substrates, a first plurality of electrodes, and a second plurality of electrodes. Each individual phase control element is defined by one electrode from the first plurality and one electrode from the second plurality.

Abstract: Optical phase control elements are based on the Pancharatnam phase. Tunable liquid crystal devices containing the optical phase control elements may include a liquid crystal cell between a pair of substrates, a first plurality of electrodes, and a second plurality of electrodes. Each individual phase control element is defined by one electrode from the first plurality and one electrode from the second plurality.

Abstract: An ion-trap system having a trapping location that is controllable with nanometer-scale precision in three dimensions is disclosed. The ion-trap system includes an ion trap that includes a pair of RF driver electrodes, a pair of tuning electrodes operably coupled with the RF driver electrodes to collectively generate an RF field having an RF null that defines the trapping location, as well as a plurality of DC electrodes that are operably coupled with the RF driver electrodes and the tuning electrodes. Each tuning electrode is driven with an RF signal whose amplitude and phase is independently controllable. By controlling the amplitudes of the RF signals applied to the tuning electrodes, the height of the trapping location above the mirror is controlled. The position of the tuning location along two orthogonal lateral directions is controlled by controlling a plurality of DC voltages applied to the plurality of DC electrode pads.

Abstract: An ion-trap system having a trapping location that is controllable with nanometer-scale precision in three dimensions is disclosed. The ion-trap system includes an ion trap that includes a pair of RF driver electrodes, a pair of tuning electrodes operably coupled with the RF driver electrodes to collectively generate an RF field having an RF null that defines the trapping location, as well as a plurality of DC electrodes that are operably coupled with the RF driver electrodes and the tuning electrodes. Each tuning electrode is driven with an RF signal whose amplitude and phase is independently controllable. By controlling the amplitudes of the RF signals applied to the tuning electrodes, the height of the trapping location above the mirror is controlled. The position of the tuning location along two orthogonal lateral directions is controlled by controlling a plurality of DC voltages applied to the plurality of DC electrode pads.