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We investigate the optical behavior of a single Laguerre-Gaussian cavityoptomechanical system consisting of two mechanically rotating mirrors. Weexplore the effects of various physical parameters on the doubleoptomechanically induced transparency (OMIT) of the system and provide adetailed explanation of the underlying physical mechanism. We show that themomentum is not the cause of the current double-OMIT phenomena; rather, itresults from the orbital angular momentum between the optical field and therotating mirrors. Additionally, the double-OMIT is simply produced using asingle Laguerre-Gaussian cavity optomechanical system rather than byintegrating many subsystems or adding the atomic medium as in earlier studies.We also investigate the impact of fast and slow light in this system. Finally,we show that the switching between ultrafast and ultraslow light can berealized by adjusting the angular momentum, which is a new source of regulatingfast-slow light.

A rotational-cavity optomechanical system with two revolving cavity mirrors: optical response and fast-slow light mechanism