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The analytical expression for the propagation of an optical vortex dipole (OVD) nested in a Gaussian beam diffracted by a half screen is derived and used to study the evolution of the diffracted OVD. It is shown that Compared with the case of the OVD evolution in free space, multi-pairs of the OVD may take place in the diffracted field, and the annihilation fashion depends on the off-axis displacement. A variety of the evolution behaviors of OVDs appear by varying the off-axis parameter, but the topological charge is conserved in the evolution process.
[1] Soskin M S, Vasnetsov M V 2001 Progress in Optics 42 219
[2] Molina-Terriza G, Recolons J, Torres J P, Torner L, Wright E M 2001 Phys. Rev. Lett. 87 023902-1
[3] Schwarz U T, Sogomonian S, Maier M 2002 Opt. Commun. 208 255
[4] Orlov S, Regelskis K, Smilgevicius V, Stabinis A 2004 J. Opt. A: Pure Appl. Opt. 6 255
[5] Cheng K, Liu P S, Lü B D 2008 Chin. Phys. B 17 1743
[6] Wang L, Wang Q F, Wang X Q, Lü B D 2007 Acta Phys. Sin. 56 0201 (in Chinese) [王莉,王庆峰,王喜庆,吕百达 2007 物理学报 56 0201]
[7] Masajada J 2000 Opt. Commun. 175 289
[8] Liu P S, Lü B D 2008 Optics & Laser Technology 40 227
[9] Yan H W, Cheng K, Lü B D 2008 Acta Phys. Sin. 57 5542 (in Chinese) [闫红卫,程科,吕百达 2008 物理学报 57 5542]
[10] 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]
[11] Indebetouw G 1993 J. Mod. Opt. 40 73
[12] Freund I 1999 Opt. Commun. 163 230
[13] Roux F S 2003 J. Opt. Soc. Am. B 20 1575
[14] Roux F S 2004 J. Opt. Soc. Am. B 21 655
[15] Roux F S 2004 Opt. Commun. 234 63
[16] Yan H W, Lü B D 2009 J. Opt. A: Pure Appl. Opt. 11 065706
[17] Gradshteyn I S, Ryzhik I M 1980 Academic Press (New York) p337
[18] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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[1] Soskin M S, Vasnetsov M V 2001 Progress in Optics 42 219
[2] Molina-Terriza G, Recolons J, Torres J P, Torner L, Wright E M 2001 Phys. Rev. Lett. 87 023902-1
[3] Schwarz U T, Sogomonian S, Maier M 2002 Opt. Commun. 208 255
[4] Orlov S, Regelskis K, Smilgevicius V, Stabinis A 2004 J. Opt. A: Pure Appl. Opt. 6 255
[5] Cheng K, Liu P S, Lü B D 2008 Chin. Phys. B 17 1743
[6] Wang L, Wang Q F, Wang X Q, Lü B D 2007 Acta Phys. Sin. 56 0201 (in Chinese) [王莉,王庆峰,王喜庆,吕百达 2007 物理学报 56 0201]
[7] Masajada J 2000 Opt. Commun. 175 289
[8] Liu P S, Lü B D 2008 Optics & Laser Technology 40 227
[9] Yan H W, Cheng K, Lü B D 2008 Acta Phys. Sin. 57 5542 (in Chinese) [闫红卫,程科,吕百达 2008 物理学报 57 5542]
[10] 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]
[11] Indebetouw G 1993 J. Mod. Opt. 40 73
[12] Freund I 1999 Opt. Commun. 163 230
[13] Roux F S 2003 J. Opt. Soc. Am. B 20 1575
[14] Roux F S 2004 J. Opt. Soc. Am. B 21 655
[15] Roux F S 2004 Opt. Commun. 234 63
[16] Yan H W, Lü B D 2009 J. Opt. A: Pure Appl. Opt. 11 065706
[17] Gradshteyn I S, Ryzhik I M 1980 Academic Press (New York) p337
[18] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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