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Based on the modified Snyder-Mitchell model, the optical fields that are produced by two collinear Laguerre-Gaussian solitons (LGS) in a strongly nonlocal nonlinear medium are studied. Various novel kinds of solitons on the profiles which depend on the model-index and the relative amplitude of LGS are shown. It is the phase vortices of the LGS that lead to the optical singularities. The many-ring soliton is produced first with the collinear component LGS. The optical field may rotate in propagation, and the angular velocity of the spiral soliton is given.
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Keywords:
- strongly nonlocal nonlinear media /
- Laguerre-Gaussian solitons /
- collinear propagation /
- phase vortices
[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] [3] Bang O, Krolikowski W, Wyller J,Rasmussen J J 2002 Phys. Rev. E 66 046619
[4] [5] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[6] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 90 113902
[7] [8] [9] Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、 郭 旗 2005 54 3178]
[10] Xu C B, Guo Q 2005 Acta Phys. Sin. 54 5194 (in Chinese) [许超彬、郭 旗 2005 54 5194]
[11] [12] [13] Zhang X P, Guo Q, Hu W 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍、郭 旗、胡 巍 2005 54 5189]
[14] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[15] [16] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[17] [18] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[19] [20] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[21] [22] Hu W, Ouyang S G, Yang P B, Guo Q 2008 Phys. Rev. A 77 033842
[23] [24] [25] Deng D M, Guo Q 2009 New J. Phys. 11 103029
[26] [27] Zhang X P, Liu Y W 2009 Acta Phys. Sin. 58 8332 (in Chinese) [张霞萍、刘友文 2009 58 8332]
[28] Bryngdahl O 1973 J. Opt. Soc. Am. 63 1098
[29] [30] Swartlander G A, Law C T 1992 Phys. Rev. Lett. 69 2503
[31] [32] [33] He H, Friese M E, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826
[34] Franke-Arnold S, Leach J, Padgett M J, Lembessis V E, Ellinas D, Wright A J, Girkin J M, Ohberg P, Arnold A S 2007 Opt. Express 15 8619
[35] [36] [37] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901
[38] Baumann S M, Kalb D M, MacMillan L H, Galvez E J 2009 Opt. Express 17 9818
[39] [40] [41] Deng D M, Guo Q 2010 Appl. Phys. B 11 103029
[42] [43] Bekshaev A, Soskin M 2006 Opt. Lett. 31 2199
[44] Maleev I D, Swartzlander G A 2003 J. Opt. Soc. Am. B 20 1169
[45] [46] [47] He Y J, Malomed B A, Mihalache D, Wang H Z 2008 Phys. Rev. A 78 023824
[48] [49] Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605
[50] [51] Galvez E J, Smiley N, Fernandes N 2006 Proc. SPIE 19 6131
[52] [53] Zhang X P 2011 Acta Phys. Sin. 60 034211 (in Chinese) [张霞萍 2011 60 034211]
-
[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] [3] Bang O, Krolikowski W, Wyller J,Rasmussen J J 2002 Phys. Rev. E 66 046619
[4] [5] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[6] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 90 113902
[7] [8] [9] Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、 郭 旗 2005 54 3178]
[10] Xu C B, Guo Q 2005 Acta Phys. Sin. 54 5194 (in Chinese) [许超彬、郭 旗 2005 54 5194]
[11] [12] [13] Zhang X P, Guo Q, Hu W 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍、郭 旗、胡 巍 2005 54 5189]
[14] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[15] [16] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[17] [18] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[19] [20] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[21] [22] Hu W, Ouyang S G, Yang P B, Guo Q 2008 Phys. Rev. A 77 033842
[23] [24] [25] Deng D M, Guo Q 2009 New J. Phys. 11 103029
[26] [27] Zhang X P, Liu Y W 2009 Acta Phys. Sin. 58 8332 (in Chinese) [张霞萍、刘友文 2009 58 8332]
[28] Bryngdahl O 1973 J. Opt. Soc. Am. 63 1098
[29] [30] Swartlander G A, Law C T 1992 Phys. Rev. Lett. 69 2503
[31] [32] [33] He H, Friese M E, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826
[34] Franke-Arnold S, Leach J, Padgett M J, Lembessis V E, Ellinas D, Wright A J, Girkin J M, Ohberg P, Arnold A S 2007 Opt. Express 15 8619
[35] [36] [37] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901
[38] Baumann S M, Kalb D M, MacMillan L H, Galvez E J 2009 Opt. Express 17 9818
[39] [40] [41] Deng D M, Guo Q 2010 Appl. Phys. B 11 103029
[42] [43] Bekshaev A, Soskin M 2006 Opt. Lett. 31 2199
[44] Maleev I D, Swartzlander G A 2003 J. Opt. Soc. Am. B 20 1169
[45] [46] [47] He Y J, Malomed B A, Mihalache D, Wang H Z 2008 Phys. Rev. A 78 023824
[48] [49] Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605
[50] [51] Galvez E J, Smiley N, Fernandes N 2006 Proc. SPIE 19 6131
[52] [53] Zhang X P 2011 Acta Phys. Sin. 60 034211 (in Chinese) [张霞萍 2011 60 034211]
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