Abstract
We analyzed the optical transmission of the optomechanical system, which consists of rotating doublemode cavities and a mechanical resonator. When it is drived by a strong field from the left side or the right side, the probe optical response is considered under the Sagnac effect. For the spectrum of the output field, it shows the nonreciprocal transmission behavior. We expect that this scheme may be applicable in information processing and optical communication in the future.

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