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Using the Fresnel vector diffraction integral and taking the Gaussian vortex beam as an example, the analytical expressions for the electric and magnetic components of Gaussian vortex beam propagating in the free-space are derived, and used to study the variations of electric and magnetic polarization singularities in free space. It is found that there exist two-dimensional (2D) and three-dimensional (3D) electric and magnetic polarization singularities in the free-space, which do not coincide in general. By varying waist width ratio, amplitude ratio, and propagation distance, the motion of polarization singularities takes place. In the 2D and the 3D electric and magnetic fields, the V-point may appear under a certain condition.
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Keywords:
- Gaussian vortex beam /
- electric and magnetic polarization singularities /
- free-space propagation
[1] Nye J F, Hajnal J V 1987 Proc. R. Soc. Lond. A 409 21
[2] Hajnal J V 1990 Proc. R. Soc. Lond. A 430 413
[3] Nye J F 1999 Natural Focusing and the Fine Structure of Light (IOP Publishing, Bristol, UK)
[4] Berry M V, Dennis M R 2001 Proc. R. Soc. Lond. A 457 141
[5] Dennis M R 2002 Opt. Commun. 213 201
[6] Mokhun A I, Soskin M S, Freund I 2002 Opt. Lett. 27 995
[7] Freund I, Mokhun A I, Soskin M S, Angelsky O V, Mokhun I I 2002 Opt. Lett. 27 545
[8] Angelsky O V, Mokhun I I, Mokhun A I, Soskin M S 2002 Phys. Rev. E 65 036602
[9] Soskin M S, Denisenko V, Freund I 2003 Opt. Lett. 28 1475
[10] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 475
[11] Flossmann F, Schwarz U T, Maier M, Dennis M R 2005 Phys. Rev. Lett. 95 253901
[12] Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[13] Dennis M R 2008 Opt. Lett. 33 2572
[14] Chernyshov A A, Felde C V, Bogatyryova H V, Polyanskii P V, Soskin M S 2009 J. Opt. A: Pure Appl. Opt. 11 094010
[15] Soskin M S, Denisenko V G, Egorov R I 2004 Proc. of SPIE 5458 79
[16] Bliokh K Y, Niv A, Kleiner V, Hasman E 2008 Opt. Express 16 695
[17] Liu P S, Cheng K, Lü B D 2008 Acta Phys. Sin. 57 1683 (in Chinese) [刘普生, 程科, 吕百达 2008 物理学报 57 1683]
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[1] Nye J F, Hajnal J V 1987 Proc. R. Soc. Lond. A 409 21
[2] Hajnal J V 1990 Proc. R. Soc. Lond. A 430 413
[3] Nye J F 1999 Natural Focusing and the Fine Structure of Light (IOP Publishing, Bristol, UK)
[4] Berry M V, Dennis M R 2001 Proc. R. Soc. Lond. A 457 141
[5] Dennis M R 2002 Opt. Commun. 213 201
[6] Mokhun A I, Soskin M S, Freund I 2002 Opt. Lett. 27 995
[7] Freund I, Mokhun A I, Soskin M S, Angelsky O V, Mokhun I I 2002 Opt. Lett. 27 545
[8] Angelsky O V, Mokhun I I, Mokhun A I, Soskin M S 2002 Phys. Rev. E 65 036602
[9] Soskin M S, Denisenko V, Freund I 2003 Opt. Lett. 28 1475
[10] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 475
[11] Flossmann F, Schwarz U T, Maier M, Dennis M R 2005 Phys. Rev. Lett. 95 253901
[12] Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[13] Dennis M R 2008 Opt. Lett. 33 2572
[14] Chernyshov A A, Felde C V, Bogatyryova H V, Polyanskii P V, Soskin M S 2009 J. Opt. A: Pure Appl. Opt. 11 094010
[15] Soskin M S, Denisenko V G, Egorov R I 2004 Proc. of SPIE 5458 79
[16] Bliokh K Y, Niv A, Kleiner V, Hasman E 2008 Opt. Express 16 695
[17] Liu P S, Cheng K, Lü B D 2008 Acta Phys. Sin. 57 1683 (in Chinese) [刘普生, 程科, 吕百达 2008 物理学报 57 1683]
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