Abstract
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 ±45, which is a significant improvement for measuring OAM based on the cavity optomechanical system.
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Acknowledgements
This work was supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0304202 and 2017YFA0205700), the National Natural Science Foundation of China (NSFC) (Grant Nos. 11875231 and 11935012), and the Fundamental Research Funds for the Central Universities through Grant No. 2018FZA3005.
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This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467-020-1030-0.
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Zhang, Z., Pei, J., Wang, YP. et al. Measuring orbital angular momentum of vortex beams in optomechanics. Front. Phys. 16, 32503 (2021). https://doi.org/10.1007/s11467-020-1030-0
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DOI: https://doi.org/10.1007/s11467-020-1030-0