[1] B Richards, E Wolf. Electromagnetic diffraction in optical systems Ⅱ. structure of the image field in an aplanatic system［J］. Proc R Soc Lond A, 1959, 253(1274): 358-379.

[2] K S Youngworth, T G Brown. Focusing of high numerical aperture cylindrical vector beams［J］. Opt Express, 2000, 7(2): 77-87.

[3] Y Kozawa, S Sato. Focusing property of a double-ring-shaped radially polarized beam［J］. Opt Lett, 2006, 31(6): 820-822.

[4] B Tian, J Pu. Tight focusing of a double ring shaped azimuthally polarized beam［J］. Opt Lett, 2011, 32(11): 2014-2016.

[5] R Dorn, S Quabis, G Leuchs. Sharper focus for a radially polarized light beam［J］. Phys Rev Lett, 2003, 91（23）: 233901.

[6] H Wang, L Shi, B Lukyanchu, et al.. Creation of a needle of longitudinally polarized light in vacuum using binary optics［J］. Nat Photon, 2008, 2(8): 501-505.

[7] Chen Huifang, Liu Tao, Zhang Zaixuan. Shaper focus of radially polarized beam with a continuous phase filter［J］. Chinese J Lasers, 2012, 39(6): 0616001.

[8] Li Donghua, Pu Jixiong, Wang Xiqing. Effect of primary spherical aberration on optical trapping force of radially polarized beam［J］. Laser & Optoelectronics Progress, 2011, 48(7): 071401.

[9] Guo Ling, Li Jinsong. Phase pupil filter with cosine function for sharper focus of radially polarized beam［J］. Laser & Optoelectronics Progress, 2012, 49(12): 121001.

[10] T A Klar, E Engel, S W Hell. Breaking Abbe′s diffraction resolution limit in fluorescence microscopy with stimulated emission depletion beams of various shapes[J]. Phys Rev E, 2001, 64(6): 066613.

[11] Y Zhao, G Milne, J S Edgar, et al.. Quantitative force mapping of an optical vortex trap［J］. Appl Phys Lett, 2008, 92(16): 161111.

[12] D P Biss, T G Brown. Primary aberrations in focused radially polarized vortex beams［J］. Opt Express, 2004, 12(3): 384-393.

[13] Liu Yong, Chen Jiabi. Effect of primary spherical aberration on focusing field of cylindrical vector Bessel-Gaussian beams［J］. Acta Optica Sinica, 2009, 29(7): 1996-1999.

[14] Chen Jiannong, Yu Yongjiang. The effect of primary spherical aberration and aperture on focusing of radially polarized high-order vector Bessel-Gauss beams［J］. Acta Optica Sinica, 2010, 30(9): 2724-2728.

[15] S F Pereira, A S van de Nes. Superresolution by means of polarization, phase and amplitude pupil masks［J］. Opt Commun, 2004, 234(1-6): 119-124.

[16] R Kant. An analytical method of vector diffraction for focusing optical systems with Seidel aberrations Ⅱ. astigmatism and coma［J］. J Mod Opt, 1995, 42(2): 299-320.