Phase-dependent controllable field generation in a ring cavity resonator

We investigate the control field phase-dependent output field transmission from a red detuned ring cavity optomechanical system. Our scheme displays a double transparency window in the presence of a strong control and a weak probe field. Additionally, we invoke an external mechanical pump to one of the movable mirrors to modulate its vibration. Complete control over the output field transmission can be achieved due to the combined effect of the amplitudes and the phases of the mechanical pump and the control field. Further, a tunable group delay of the probe pulse propagation can be obtained by the tailoring of the control field phase in the presence of a suitable mechanical drive. We further discuss the effect of control field phase on Stokes field generation via the four-wave mixing process. This scheme may find potential applications in weak signal sensing and all-optical communication purposes.