光力学中涡旋光束轨道angular momentum的测量
Measuring orbital angular momentum of vortex beams in optomechanics
摘要：
由于涡旋光束具有理论上的无界性和正交性，因此测量涡旋光束的轨道角动量（包括其大小和符号）具有很大的应用前景。本文提出了一种可区分符号的光机械OAM测量方法，该方法通过监测双拉盖尔-高斯（LG）旋转腔系统中探测光场透射谱的移动来实现。与传统的单LG旋转腔相比，我们的系统可以产生非对称的光机诱导透明窗口。同时，共振谷的位置与OAM的大小和符号有很强的相关性。这最初来自于腔模式与驱动场的有效失谐可以随着OAM的幅度和符号而变化的事实，这导致光谱偏移对于不同符号的OAM是定向的。该方案解决了光力学中无法区分OAM符号的缺点，并适用于拓扑荷值为$\pm 45$的高阶涡旋光束，是对基于腔光力学系统的OAM测量的一个重大改进.
英文摘要：
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.
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