标题： 光学机械中涡旋光束轨道角动量的测量 显示英文标题

标题： Measuring orbital angular momentum of vortex beams in optomechanics

摘要： 测量涡旋光束的轨道角动量（OAM），包括大小和符号，具有重要的应用前景，因为理论上其模式是无界的且正交的。 在这里，我们提出了一种基于光学机械学的可区分符号的OAM测量方法，该方法通过监测双拉盖-高斯（LG）旋转腔系统中探测场传输光谱的偏移来实现。 与传统的单个LG旋转腔相比，在我们的系统中可以出现非对称的光学机械诱导透明窗口。 同时，共振谷的位置与OAM的大小和符号有很强的相关性。 这主要归因于腔模的有效失谐可以从驱动场变化，这种变化取决于OAM的大小和符号，从而导致不同符号下的光谱偏移具有方向性。 我们的方案解决了光学机械学中无法区分OAM符号的缺点，并且对于拓扑电荷值为$\pm 45$的高阶涡旋光束表现良好，这对于基于腔光学机械系统的OAM测量是一个显著的改进。 显示英文摘要

摘要： Measuring the orbital angular momentum (OAM) of vortex beams, including the magnitude and the sign, has great application prospects due to its theoretically unbounded and orthogonal modes. Here, the sign-distinguishable OAM measurement in optomechanics is proposed, which is achieved by monitoring the shift of the transmission spectrum of the probe field in a double Laguerre-Gaussian (LG) rotational-cavity system. Compared with the traditional single LG rotational cavity, an asymmetric optomechanically induced transparency window can occur in our system. Meanwhile, the position of the resonance valley has a strong correlation with the magnitude and sign of OAM. This originally comes from the fact that the effective detuning of the cavity mode from the driving field can vary with the magnitude and sign of OAM, which causes the spectral shift to be directional for different signs of OAM. Our scheme solves the shortcoming of the inability to distinguish the sign of OAM in optomechanics, and works well for high-order vortex beams with topological charge value $\pm 45$, which is a significant improvement for measuring OAM based on the cavity optomechanical system.