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研究得到了偏离束腰入射的复宗量Laguerre-Gauss光束在强非局域非线性介质中传输的解析表达式,并且得到了其二阶矩束宽的解析解.通过例子研究了偏离束腰入射的复宗量Laguerre-Gauss光束在强非局域非线性介质中传输性质.结果表明：非(0, m)模的复宗量Laguerre-Gauss光束的光束形状随着传输而发生改变,并以Δz=πzc为周期做周期性演化.而(0,m)模复宗量Laguerre-Gauss光束在演化过程中则形状保持不变,仅改变光束宽度；不论功率多大,在偏离束腰入射条件下总是表现为呼吸子；只有当其为束腰入射,并且入射功率等于临界功率时才能形成孤子.
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关键词:
- 强非局域非线性 /
- 复宗量Laguerre-Gauss光束 /
- 二阶矩束宽 /
- 空间光孤子
In this paper, we obtain the analytical solution of the off-waist inputted complex argument Laguerre-Gaussian beams and their mean squared beam width in nonlocal nonlinear media. The propagation of the complex argument Laguerre-Gaussian beams in the nonlocal nonlinear media is investigated in detail. The examples show that the pattern shape of a (n,m) mode complex argument Laguerre-Gaussian beam varies periodically with the period Δz=πzc in strongly nonlocal nonlinear media if n≠0.But if n=0, its pattern shape remains unvaried and the beam width varies periodically during propagation. Under the off-waist incident condition, the propagation of the (0,m)mode complex argument Laguerre-Gaussian beam behaves as a breather during propagation, no matter what the power of the incident beam is. Only when the beam is input at the waist and the input power equals the critical power would the breather be reduced to a soliton.-
Keywords:
- strongly non-locality nonlinearity /
- complex argument Laguerre-Gaussian beam /
- mean squared beam width /
- spatial soliton
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[1] ［1］Krolikowski W, Bang O, Rasmussen J J, Wylle J 2001 Phys. Rev. E 64 016612
[2] ［2］Snyder A W, Mitchell D J 1997 Science 276 1538
[3] ［3］Yaroslav V. Kartashov, Lluis Torner 2006 Opt. Lett. 31 1483
[4] ［4］Deng D M, Guo Q 2008 J. Opt. A 10 035101
[5] ［5］Wang Y Q, Guo Q 2008 Chin. Phys. B 17 7
[6] ［6］Peccianti M, Rossi A D, Assanto G 2002 Appl. Phys. Lett. 77 7
[7] ［7］Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[8] ［8］Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 03 3842
[9] ［9］Rotschild C, Alfassi B, Cohen O, Segev M 2006 Nat. Phys. 2 769
[10] ］Guo Q, Xu C B 2004 Acta Phys. Sin. 53 3025 (in Chinese)［郭旗、许超彬 2004 53 3025］
[11] ］Xie Y Q, Guo Q 2004 Opt. Quantum Electron. 36 1335
[12] ］Xu C B, Guo Q 2005 Acta Phys. Sin. 54 5194 (in Chinese) ［许超彬、郭旗 2005 54 5194］
[13] ］Deng D M, Zhao X, Guo Q 2007 J. Opt. Soc. Am. B 24 2537
[14] ］Wang X H, Guo Q 2005 Acta Phys. Sin. 54 3183 (in Chinese)［王形华、郭旗 2005 54 3183］
[15] ］Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese)［张霞萍、郭旗 2005 54 3178］
[16] ］Huang Y, Guo Q 2005 High Power Laser Part. Beams 17 655 (in Chinese) ［黄毅、郭旗 2005 强激光与粒子束 17 655］
[17] ］Dai J H, Guo Q 2008 Acta Phys. Sin. 57 5001 (in Chinese) ［戴继慧、郭旗 2008 57 5001］
[18] ］Bai D F, Guo Q, Hu W 2008 Acta Phys. Sin. 57 5684 (in Chinese)［白东峰、郭旗、胡巍 2008 57 5684］
[19] ］Dai J H, Guo Q 2009 Acta Phys. Sin. 58 1752 (in Chinese) ［戴继慧、郭旗 2009 58 1752］
[20] ］Takenaka T, Yokota M, Fukumistsu O 1985 J. Opt. Soc. Am. A 2 826
[21] ］Duan K L, Lü B D 2007 Opt. Laser Technol. 39 110
[22] ］Lu D Q, Hu W, Guo Q 2009 Eu. Phys. Lett. 86 44004
[23] ］Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815
[24] ］Lü B D 2003 Laser Optics (Beijing: Higher Education Press) pp10—13，109—111 (in Chinese)［吕百达 2003 激光光学(北京：高等教育出版社)第 10—13，109—111页］
[25] ］Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (Beijing： Publishing House of Electronics Industry) p595—596 (in Chinese)［张克潜、李德杰 2001 微波与光电子学中的电磁理论(北京：电子工业出版社) 第595—596页］
[26] ］Belanger P A 1991 Opt. Lett. 16 196
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