Higher-order sidebands in optomechanically induced transparency are discussed in a generic optomechanical system. We take account of nonlinear terms and give an effective method to deal with such problems. It is shown that, if a strong control field with frequency ω 1 and a weak probe field with frequency ω p are incident upon the optomechanical system, then there are output fields with frequencies ω 1 ± 2 generated, where = ω p − ω 1 . We analyze the amplitude of the output field ω 1 + 2 and look at how it varies with the control field and show that the amplitude of the second-order sideband can be controlled by the strong control field.

We analyze the features of the output field of a generic optomechanical system that is driven by a control field and a nanosecond driven pulse, and find a robust high-order sideband generation in optomechanical systems. The typical spectral structure, plateau and cutoff, confirms the nonperturbative nature of the effect, which is similar to high-order harmonic generation in atoms or molecules. Based on the phenomenon, we show that the carrier-envelope phase of laser pulses that contain huge numbers of cycles can cause profound effects.

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