[1] Allen L, Beijersbergen M W, Spreeuw R J et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 45, 8185-8189(1992).
[2] Paterson L, MacDonald M P, Arlt J et al. Controlled rotation of optically trapped microscopic particles[J]. Science, 292, 912-914(2001).
[3] Harwit M. Photon orbital angular momentum in astrophysics[J]. The Astrophysical Journal Letters, 597, 1266-1270(2003).
[4] Wang J, Yang J Y, Fazal I M et al. Terabit free-space data transmission employing orbital angular momentum multiplexing[J]. Nature Photonics, 6, 488-496(2012).
[5] Devlin R C, Ambrosio A, Rubin N A et al. Arbitrary spin-to-orbital angular momentum conversion of light[J]. Science, 358, 896-901(2017).
[6] Lu X H, Huang H Q, Zhao C L et al. Optical vortex beams and optical vortices[J]. Laser&Optoelectronics Progress, 45, 50-56(2008).
[7] Padgett M, Bowman R. Tweezers with a twist[J]. Nature Photonics, 5, 343-348(2011).
[8] Phillips D B, Lee M P, Speirits F C et al. Rotational Doppler velocimetry to probe the angular velocity of spinning microparticles[J]. Physical Review A, 90, 011801(2014).
[9] Zhang Y Q, Shi W, Shen Z et al. A plasmonic spanner for metal particle manipulation[J]. Scientific Reports, 5, 15446(2015).
[10] Willner A E, Huang H, Yan Y et al. Optical communications using orbital angular momentum beams[J]. Advances in Optics and Photonics, 7, 66-106(2015).
[11] Eyyuboğlu H T. Mutual coherence function based topological charge detection in a Gaussian vortex beam optical communication system[J]. Physica Scripta, 97, 095507(2022).
[12] Rosales-Guzmán C, Hermosa N, Belmonte A et al. Direction-sensitive transverse velocity measurement by phase-modulated structured light beams[J]. Optics Letters, 39, 5415-5418(2014).
[13] Zhou H L, Fu D Z, Dong J J et al. Orbital angular momentum complex spectrum analyzer for vortex light based on the rotational Doppler effect[J]. Light: Science & Applications, 6, e16251(2017).
[14] Zhai Y W, Fu S Y, Zhang J Q et al. Remote detection of a rotator based on rotational Doppler effect[J]. Applied Physics Express, 13, 022012(2020).
[15] Yang Z H, Zhang Y K, Zhou J et al. Real-time wind field measurements using all-fiber mobile Doppler wind lidar[J]. Optical Engineering, 59, 034107(2020).
[16] Bialynicki-Birula I, Bialynicka-Birula Z. Rotational frequency shift[J]. Physical Review Letters, 78, 2539-2542(1997).
[17] Belmonte A, Torres J P. Optical Doppler shift with structured light[J]. Optics Letters, 36, 4437-4439(2011).
[18] Zhou H L, Fu D Z, Dong J J et al. Theoretical analysis and experimental verification on optical rotational Doppler effect[J]. Optics Express, 24, 10050-10056(2016).
[19] Courtial J, Dholakia K, Robertson D A et al. Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum[J]. Physical Review Letters, 80, 3217-3219(1998).
[20] Lavery M P J, Speirits F C, Barnett S M et al. Detection of a spinning object using light’s orbital angular momentum[J]. Science, 341, 537-540(2013).
[21] Fang L, Padgett M J, Wang J. Sharing a common origin between the rotational and linear Doppler effects[J]. Laser & Photonics Reviews, 11, 1700183(2017).
[22] Qiu S, Liu T, Li Z M et al. Influence of lateral misalignment on the optical rotational Doppler effect[J]. Applied Optics, 58, 2650-2655(2019).
[23] Mendoza-Hernández J, Arroyo-Carrasco M L, Iturbe-Castillo M D et al. Laguerre-Gauss beams versus Bessel beams showdown: peer comparison[J]. Optics Letters, 40, 3739-3742(2015).
[24] Zhai Y W, Fu S Y, Yin C et al. Detection of angular acceleration based on optical rotational Doppler effect[J]. Optics Express, 27, 15518-15527(2019).
[25] Ren Y, Qiu S, Liu T et al. Compound motion detection based on OAM interferometry[J]. Nanophotonics, 11, 1127-1135(2022).
[26] Cheng T Y, Wang W Y, Li J S et al. Rotational Doppler effect in vortex light and its applications for detection of the rotational motion[J]. Photonics, 441(2022).
[27] Qiu S, Ren Y, Liu T et al. Detection of rotational cylinder speed using Doppler effect of optical vortex[J]. Acta Optica Sinica, 40, 2026001(2020).
[28] Fu S Y, Wang T L, Zhang Z Y et al. Non-diffractive Bessel-Gauss beams for the detection of rotating object free of obstructions[J]. Optics Express, 25, 20098-20108(2017).
[29] Chen J, Ke X Z, Yang Y M. Laguerre-Gaussian beam diffraction and dispersion of the orbital angular momentum[J]. Acta Optica Sinica, 34, 0427001(2014).
[30] Qiu S, Ren Y, Liu T et al. Rotational Doppler effect detection by LG beams with a nonzero radial index[J]. Optics Express, 29, 10275-10284(2021).
[31] Plick W N, Krenn M. Physical meaning of the radial index of Laguerre-Gauss beams[J]. Physical Review A, 92, 063841(2015).
[32] Haddadi S, Louhibi D, Hasnaoui A et al. Spatial properties of a diffracted high-order radial Laguerre-Gauss LGp0 beam[J]. Laser Physics, 25, 125002(2015).
[33] Twamley J. Quantum distribution functions for radial observables[J]. Journal of Physics A, 31, 4811-4819(1998).