[1] FANG G J, TIAN B, PU J X. Focusing properties of the double-vortex beams through a high numerical-aperture objective[J]. Optics and Laser Technology, 2012, 44(2): 441-445. doi: 10.1016/j.optlastec.2011.08.009
[2] ZHAO J H, WANG Q, ZHU B W, et al. Compact focusing properties of radial vector beam with vortex phase encoding[J]. Laser Technology, 2017, 41(2): 187-190(in Chinese).
[3] HUANG S, WANG X L, ZHU Z Q, et al. Focusing field of the radial vector beams with multi-vortex phases[J]. Optics Communications, 2016, 366: 142-147. doi: 10.1016/j.optcom.2015.12.056
[4] PING C C, LIANG C H, WANG F, et al. Radially polarized multi-Gaussian Schell-model beam and its tight focusing properties[J]. Optics Express, 2017, 25(26): 32475-32490. doi: 10.1364/OE.25.032475
[5] XU J G, GENG T, GAO X M, et al. Generation of a dark spot beyond the diffraction limit with a radially polarized vortex beam[J]. Journal of the Optical Society of America, 2017, A34(12): 2165-2169.
[6] WANG X L, ZHU B W, DONG Y X, et al. Generation of equilateral-polygon-like flat-top focus by tightly focusing radially polarized beams superposed with off-axis vortex arrays[J]. Optics Express, 2017, 25(22): 26844-26852. doi: 10.1364/OE.25.026844
[7] FAN C J, LIU Y G, WANG X Y, et al. Trapping two types of particles by using a tightly focused radially polarized power-exponent-phase vortex beam[J]. Journal of the Optical Society of America, 2018, A35(6): 903-907.
[8] ZHANG Z M, PU J X, WANG X Q. Focusing of partially coherent Bessel-Gaussian beams through a high-numerical-aperture objective[J]. Optics Letters, 2008, 33(1): 49-51. doi: 10.1364/OL.33.000049
[9] CHEN B S, ZHANG Z M, PU J X. Tight focusing of partially cohe-rent and circularly polarized vortex beams[J]. Journal of the Optical Society of America, 2009, A26(4): 862-869.
[10] FISCHER D G, VISSER T D. Spatial correlation properties of focused partially coherent light[J]. Journal of the Optical Society of America, 2004, A21(11): 2097-2102.
[11] GUO L N, TANG Z L, LIANG C Q, et al. Characterization of tightly focused partially coherent radially polarized vortex beams[J]. Chinese Optics Letters, 2010, 8(5): 520-523. doi: 10.3788/COL20100805.0520
[12] GUO L N, TANG Z L, LIANG C Q, et al. Intensity and spatial co-rrelation properties of tightly focused partially coherent radially pola-rized vortex beams[J]. Optics & Laser Technology, 2011, 43(4): 895-898.
[13] DONG Y M, CAI Y J, ZHAO C L. Degree of polarization of a tightly focused partially coherent dark hollow beam[J]. Applied Phy-sics, 2011, B105(2): 405-414.
[14] LIU P S, YANG H J, RONG J, et al. Focusing of stochastic electromagnetic Gaussian Schell-model beams through a high numerical a-perture objective[J]. Optics Communications, 2011, 284(4): 909-914. doi: 10.1016/j.optcom.2010.10.016
[15] LI J, GAO X M, CHEN Y R. Tight focusing of J0-correlated Gaussian Schell-model beam through high numerical aperture[J]. Optics Communications, 2012, 285(16): 3403-3411. doi: 10.1016/j.optcom.2012.04.009
[16] RAO L Z, LIN H C, XU G Z. Tight focusing of J0-correlated azimuthally polarized vortex beams[J]. High Power Laser and Particle Beams, 2013, 25(8): 1945-1950(in Chinese). doi: 10.3788/HPLPB20132508.1945
[17] RAO L Z, LIN H C, SUN Q Q. Spatial correlation properties of tightly focused J0-correlated azimuthally polarized vortex beams[J]. Chinese Physics Letters, 2013, 30(5): 054211. doi: 10.1088/0256-307X/30/5/054211
[18] XU H F, ZHOU Y, WU H W, et al. Focus shaping of the radially polarized Laguerre-Gaussian-correlated Schell-model vortex beams[J]. Optics Express, 2018, 26(16): 20076-20088. doi: 10.1364/OE.26.020076
[19] MARIYAL C, SURESH P, RAJESH K B, et al. Effect of annular obstruction on tight focusing of partially coherent radially polarized Vortex beam[J]. Optik, 2014, 125(12): 2934-2937. doi: 10.1016/j.ijleo.2013.12.080
[20] XU H F, ZHANG R, SHENG Z Q, et al. Focus shaping of partially coherent radially polarized vortex beam with tunable topological charge[J]. Optics Express, 2019, 27(17): 23959-23969. doi: 10.1364/OE.27.023959
[21] GU M. Advanced optical imaging theory[M]. Berlin, Germany: Springer-Verlag, 1999: 17-21.
[22] MANDEL L, WOLF E. Optical coherence and quantum optics[M]. Cambridge, UK: Cambridge University, 1995: 37-39.
[23] PALMA C, BORGHI R, CINCOTTI G. Beams originated by J0-co-rrelated Schell-model planar sources[J]. Optics Communications, 1996, 125(1): 113-121.