[1] [1] K T Gahagan, G A Swartzlander. Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap［J］. JOSA B， 1999, 16(4): 533-537.

[2] [2] S H Simpson, S Hanna. Rotation of absorbing spheres in Laguerre-Gaussian beam［J］. JOSA A, 2009, 26(1): 173-183.

[3] [3] S H Simpson, S Hanna. Orbital motion of optically trapped particles in Laguerre-Gaussian beams［J］. JOSA A, 2010, 27(9): 2061-2071.

[4] [4] G D Boyd, H Kogelnik. Generalized confocal resonator theory［J］. Bell Sys Tech J, 1962, 41(4): 1347-1369.

[5] [5] G Goubau, F Schwering. On the guided propagation of electromagnetic wave beams［J］. IRE Trans Antennas Propagation, 1961, 9(3): 248-256.

[6] [6] H Kogelnik, T Li. Laser beams and resonators［J］. Proc IEEE, 1966, 54(10): 1312-1329.

[7] [7] R L Phillips, L C Andrews. Spot size and divergence for Laguerre Gaussian beams of any order［J］. Appl Opt, 1983, 22(5): 643-644.

[8] [8] E Zauderer. Complex argument Hermite-Gaussian and Laguerre-Gaussian beams［J］. JOSA A, 1986, 3(4): 465-469.

[9] [9] P Coullet, L Gil, F Rocca. Optical vortices［J］. Opt Commun, 1989, 73(5): 403-408.

[10] [10] I Kimel, L R Elias. Relations between Hermite and Laguerre Gaussian modes［J］. IEEE J Quantum Electron, 1993, 29(9): 2562-2567.

[11] [11] L Allen, M W Beijersbergen, R J C Spreeuw, et al.. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes［J］. Phys Rev A 1992, 45: 8185-8289.

[12] [12] M Padgett, J Arlt, N Simpson. An experiment to observe the intensity and phase structure of Laguerre-Gaussian laser modes［J］. Am J Phys 1995, 64(1): 77-82.

[13] [13] G Zhou. Analytical vectorial structure of Laguerre-Gaussian beam in the far field［J］. Opt Lett, 2006, 31(17): 2616-2618.

[14] [14] Zhou Guoquan. Analytical vectorial structure of a Laguerre-Gaussian beam in the near field［J］. High Power Laser and Particle Beams, 2010, 22(6): 1187-1191.

[15] [15] Jiang Yuesong, Xu Hongwu, Tang Hua, et al.. Graphic comparison between Hermite-Gaussian modes and Laguerre-Gaussian modes［J］. Acta Optica Sinica, 2013, 33(6): 0606001.

[16] [16] Ding Panfeng, Pu Jixiong. Propagation of Laguerre-Gaussian vortex beam［J］. Acta Physica Sinica, 2011, 60(9): 094204.

[17] [17] Chen Juan, Ke Xizheng, Yang Yiming. Laguerre-Gaussian diffraction and dispersion of the orbital angular momentum［J］. Acta Optica Sinica, 2014, 34(4): 0427001.

[18] [18] A S van de Nes, P Trk. Rigorous analysis of spheres in Gauss-Laguerre beams［J］. Opt Express, 2007, 15(20): 13360-13374.

[19] [19] V Garbin, G Volpe, E Ferrari, et al.. Mie scattering distinguishes the topological charge of an optical vortex: A homage to Gustav Mie［J］. New J Phys 2009, 11: 013046.

[20] [20] V Garbin， G Volpe, E Ferrari, et al.. Mie scattering of a Laguerre-Gaussian beam for position detection of microbubbles［C］.CLEO/QELS 2008, 2008: CMO7.

[21] [21] Lǜ Hong, Ke Xizheng. Scattering of a beam with orbital angular momentum by a single sphere［J］. Acta Physica Sinica, 2009, 58(12): 8302-8308.

[22] [22] Zhao Jizhi, Jiang Yuesong, Ou Jun, et al.. Scattering of the focused Laguerre-Gaussian beams by a spherical particle［J］. Acta Physica Sinica, 2012, 61(6): 064202.

[23] [23] Ou Jun, Jiang Yuesong, Shao Yuwei, et al.. Scattering of the Laguerre-Gaussian beam by a homogeneous spheroid［J］. Acta Physica Sinica, 2013, 62(11): 114201.

[24] [24] X Zambrana-Puyalto, G Molina-Terriza. The role of the angular momentum of light in Mie scattering. Excitation of dielectric spheres with Laguerre-Gaussian modes［J］. J Quant Spectrosc Radiat, 2013, 126: 50-55.

[25] [25] A D Kiselev, D O Plutenko. Mie scattering of Laguerre-Gaussian beams: Photonic nanojets and near-field optical vortices［J］. Phys Rev A, 2014, 89: 043803.

[26] [26] G Gouesbet, B Maheu, G Gréhan. Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation［J］. JOSA A, 1988, 5(9): 1427-1443.

[27] [27] X J Liang, A Q Liu, C S Lim, et al.. Determining refractive index of single living cell using an integrated microchip［J］. Sensor Actuator A, 2007, 133(2): 349-354.

[28] [28] S L Chao, and J M Forsyth. Properties of high-order transverse modes in astigmatic laser cavities［J］. JOSA, 1975, 65(8): 867-875.

[29] [29] J S Kim, S S Lee. Scattering of laser beams and the optical potential well for a homogenous sphere［J］. JOSA, 1983, 73(3): 303-312.