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利用强非局域非线性介质中傍轴光束传输的线性模型(修正的Snyder-Mitchell模型)讨论了两束共线(即光束中心和传输方向都相同)拉盖尔-高斯型光孤子的传输过程. 改变双光束的相对阶数和相对强度比,叠加光场在传输截面上的光强分布呈现出多样性,通过叠加的方法在该介质中产生了多环形光孤子. 一定条件下传输光束在传输过程中会出现旋转现象,叠加光场成为旋转光场,给出了旋转光束的旋转条件以及旋转速度. 进一步利用拉盖尔-高斯光束在传输过程中特有的螺旋相位特点分析了光场截面强度多样性产生的物理机理.
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关键词:
- 强非局域非线性介质 /
- 拉盖尔-高斯型光孤子 /
- 共线传输 /
- 涡旋相位
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.-
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]
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[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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