We theoretically demonstrate complete all-optical control of light groupvelocity via a cavity optomechanical system composed of an optical cavity and amechanical resonator. The realization depends on no specific materials insidethe cavity, and the control of light group velocity stems from the interactionbetween the signal light and the moving optical diffraction grating within thecavity in analogy to the stimulated Brillouin scattering(SBS). Furthermore, weshow that a tunable switch from slow light to fast light can be achieved onlyby simply adjusting the pump-cavity detuning. The scheme proposed here willopen a novel way to control light velocity by all-optical methods inoptomechanical systems.
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