Optomechanically induced transparency in a Laguerre-Gaussian rotational-cavity system and its application to the detection of orbital angular momentum of light fields

Abstract

In this paper, we investigate the optomechanically induced transparency (OMIT) phenomenon in the Laguerre-Gaussian (L-G) rotational-cavity optomechanical system, which can be regarded as an analog of the OMIT in a cavity optomechanical system with a vibrational mirror. We find that the window width of OMIT is dependent on the orbital angular momentum of the L-G light, which can be used to detect the orbital angular momentum of L-G light. We then accordingly propose a scheme to measure the orbital angular momentum of L-G light with OMIT, and its feasibility is justified by numerical simulation.