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Taking the Gaussian vortex beam as an example, the variation of electric and magnetic polarization singularities of focused Gaussian vortex beams is studied. It is shown that in the focal region there exist two- and three-dimensional (2D and 3D) electric and magnetic polarization singularities of focused Gaussian vortex beams, which do not coincide in general. By suitably varying the distance from the focal plane and the truncation parameter, the motion, creation, and annihilation of circular polarization singularities will take place. The critical valuse of the parameters at which a pair of circular polarization singularities of 2D and 3D electric and magnetic fields will annihilate, are not the same. In the 2D electric field the V-point may appear at the focal plane.
[1] Nye J F, Hajnal J V 1987 Proc. R. Soc. Lond. A 409 21
[2] [3] [4] Soskin M S, Denisenko V G, Egorov R I 2004 Proc. of SPIE 5458 79
[5] [6] Angelsky O V, Ushenko A G, Ushenko Ye G 2006 J. Phys. D: Appl. Phys. 39 3547.
[7] Hajnal J V 1990 Proc. R. Soc. Lond. A 430 413
[8] [9] [10] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 475
[11] Luo Y M, Lü B D, Tang B H, Zhu Y 2012 Acta Phys. Sin. 61 134202 (in Chinese) [罗亚梅, 吕百达, 唐碧华, 朱渊 2012 61 134202]
[12] [13] Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[14] [15] [16] Luo Y M, Lü B D 2010 J. Opt. 12 115703
[17] Hua L M, Chen B S, Chen Z Y, Pu J X 2011 Chin. Phys. B 20 014202
[18] [19] Dennis M R, O'Holleran K, Padgett M J 2009 Progress in Optics 53 293
[20] [21] [22] Karman G P, Duijil A, Beijersbergen M W, Woerdman J P 1997 Appl. Opt. 36 8091
[23] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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[1] Nye J F, Hajnal J V 1987 Proc. R. Soc. Lond. A 409 21
[2] [3] [4] Soskin M S, Denisenko V G, Egorov R I 2004 Proc. of SPIE 5458 79
[5] [6] Angelsky O V, Ushenko A G, Ushenko Ye G 2006 J. Phys. D: Appl. Phys. 39 3547.
[7] Hajnal J V 1990 Proc. R. Soc. Lond. A 430 413
[8] [9] [10] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 475
[11] Luo Y M, Lü B D, Tang B H, Zhu Y 2012 Acta Phys. Sin. 61 134202 (in Chinese) [罗亚梅, 吕百达, 唐碧华, 朱渊 2012 61 134202]
[12] [13] Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[14] [15] [16] Luo Y M, Lü B D 2010 J. Opt. 12 115703
[17] Hua L M, Chen B S, Chen Z Y, Pu J X 2011 Chin. Phys. B 20 014202
[18] [19] Dennis M R, O'Holleran K, Padgett M J 2009 Progress in Optics 53 293
[20] [21] [22] Karman G P, Duijil A, Beijersbergen M W, Woerdman J P 1997 Appl. Opt. 36 8091
[23] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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