Optomechanically Induced Transparency Phenomenon In The Laguerre-gaussian Cavity Optomechanical System And Its Applications

Optomechanically induced transparency(OMIT)is an interference phenomenon found in cavity optomechanical systems,which can be regarded as an optomechanical analog of electromagnetically induced transparency in atomic media.Specifically,Optomechanically induced transparency describes that the optomechanical system under the action of a strong driving field is transparent to a weak detection field,not absorbing it.Cavity optomechanically induced transparency,as an important optical phenomenon in optomechanical systems,has been applied to various fields,such as precision measurement,optical communication,and fast and slow light propagation.In addition,the research on optomechanically induced transparency has been extended to multipleOMIT by integrating more subsystems such as mechanical oscillators,coupled cavities,and atoms in a vibrational cavity optomechanical system.However,the current research on OMIT is mainly based on radiation pressure-dominated vibrating Fabry-Pérot cavity,the research on OMIT phenomena in other cavity optomechanical systems is rare.In this thesis,the OMIT and double-OMIT phenomena in the Laguerre-Gaussian(L-G)cavity optomechanical system are numerically studied and the corresponding applications are proposed.Based on the background knowledge of OMIT phenomenon and related applications,we have mainly carried out the following work: Firstly,we have studied in detail the OMIT phenomenon in the Laguerre-Gaussian rotating cavity optomechanical system,which can be regarded as an analogy of the OMIT phenomenon in the vibrational Fabry-Pérot cavity.It is found that the window width of OMIT depends closely on orbital angular momentum of the light field.Based on this result,we propose a scheme to measure the orbital angular momentum of the vortex light field,which is very different from the previous methods of measuring the orbital angular momentum by the interference method,and provides a new path for the realization of the orbital angular momentum detectors of vortex optical field.Secondly,we have investigated the double-OMIT phenomenon emerging in the Laguerre-Gaussian rovibrational optomechanical cavity system.It is found that the implementation of double-OMIT in our scheme is naturally derived from a single rovibrational mirror,and the two transparent windows are induced respectively by the coupling between the Laguerre-Gaussian light field and the vibration and rotation modes of the rovibrational mirror.In comparison with the previous schemes to implement double-OMIT,our scheme is very simple and does not require to integrate other optical or mechanical subsystems so that the tediousness and technical difficulties can be avoided.In addition,we have also studied the relevant properties of the Stokes field in this system.