Double optomechanical induced transparency and measurement of orbital angular momentum of twisted light

The characteristics of the output probe (OP) field is revisited in a compound system of two coupled cavities. Our model consists of two high Q Fabry-Pérot cavities in which one cavity is optomechanical. In the compound cavity system, one mirror has rotational motion that can generate Laguerre–Gaussian (twisted light) light having orbital angular momentum (OAM). In the presence of coupling strength J between the cavities and OAM l of the twisted light, we achieved a single and double optomechanical induced transparency (OMIT). It is found that the distance between the two transparency windows is dependent on the OAM of the twisted light. The double OMIT can be used to measure the OAM of the twisted light. Thus we suggested a model to measure the OAM of the twisted light with a transparency window. (paper)