[1] [1] Liu P S, Lü B D. Phase singularities of the transverse field component of high numerical aperture dark-hollow Gaussian beams in the focal region[J]. Optics Communications, 2007, 272(1): 1-8.

[2] [2] Taylor M A, Joachim K, Bowen W P. Optical lock-in particle tracking in optical tweezers[J]. Optics Express, 2013, 21(7): 8018-8024.

[3] [3] Liu Z R, Zhao D M. Optical trapping Rayleigh dielectric spheres with focused anomalous hollow beams[J]. Applied Optics, 2013, 52(6): 1310-1316.

[4] [4] Xu H F, Zhang W J, Qu J, et al. Optical trapping Rayleigh dielectric particles with focused partially coherent dark hollow beams[J]. Journal of Modern Optics, 2015, 62(21): 1839-1848.

[5] [5] Yin Y L, Xia Y, Ren R M, et al. Intensity-gradient induced Sisyphus cooling of a single atom in a localized hollow-beam trap[J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 2015, 48(19): 195001.

[6] [6] Cheng Yiguang, Liu Junbo, Hu Song, et al. Generation of localized hollow beams with photon sieves[J]. Acta Optica Sinica, 2015, 35(7): 0705003.

[7] [7] Li Pan, Zhu Qingzhi, Wu Fengtie. Hollow beam generated by incoherent light source and multimode fiber[J]. Acta Optica Sinica, 2015, 35(4): 0422004.

[8] [8] He Xi, Wu Fengtie, Li Pan, et al. High order Bessel beams generated by using incoherent LED light source[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2014, 44(7): 705-711.

[9] [9] Qian Yixian, Li Denghui. Tunable optical bottle beam generated via self-bending Airy beam arrays[J]. Chinese J Lasers, 2015, 42(9): 0909002.

[10] [10] Shi Jianzhen. Xu Shuwu, Ji Xianming, et al. Generation of the tunable rectangular hollow beams by using wave plates[J]. Acta Optica Sinica, 2015, 35(9): 0926001.

[11] [11] Gori F, Guattari G, Padovani C. Modal expansion for J0 -correlated Schell-model sources[J]. Optics Communications, 1987, 64(4): 311-316.

[12] [12] Wang L, Lü B D. Propagation and focal shift of J0-correlated Schell-model beams[J]. Optik, 2006, 117(4): 167-172.

[13] [13] Rao L Z, Zheng X X, Wang Z C, et al. Generation of optical bottle beams through focusing J0-correlated Schell-model vortex beams[J]. Optics Communications, 2008, 281(6): 1358-1365.

[14] [14] Wu G H, Lou Q L, Zhou J, et al. Beam conditions for radiation generated by an electromagnetic J0-correlated Schell-model source[J]. Optics Letters, 2008, 33(22): 2677-2679.

[15] [15] Mcleod J H. The axicon: a new type of optical element[J]. Journal of the Optical Society of America, 1954, 44(8): 592-597.

[16] [16] Turunen J, Vasara A, Friberg A T. Propagation invariance and self-imaging in variable-coherence optics[J]. Journal of the Optical Society of America A, 1991, 8(2): 282-289.

[17] [17] Born M, Wolf E. Principles of optics[M]. Yang Jiasun, Transl. 7th ed. Beijing: Publishing House of Electronics Industry, 2009: 472-486.

[18] [18] Cheng Zhiming, Wu Fengtie, Fan Dandan, et al. Non-diffraction Bessel-like beam generated by green LED source[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2012, 42(8): 805-811.