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根据强非局域结构中空间孤子的演化方程——非局域非线性薛定谔方程，采用分步傅里叶方法，对一维强非局域光晶格结构中空间孤子的脉动传播进行数值研究.分析了孤子的初始光束能量、非局域程度、光晶格调制强度、光晶格周期以及线性折射率的纵向调制率与空间孤子的脉动传播周期之间的关系，并对影响脉动传播的内在物理机制进行了讨论.同时，还研究了在线性折射率纵向调制情况下强非局域光晶格结构中空间孤子传输的开关行为.
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关键词:
- 非局域非线性薛定谔方程 /
- 光晶格 /
- 空间孤子 /
- 光开关
Based on the nonlocal nonlinear Schrdinger equation, which is the evolution equation of propagation of spatial soliton in the nonlocal media, the pulsating propagation of spatial solitons in one-dimensional strongly nonlocal optical lattice are researched numerically by the split-step Fourier method. The pulsating propagation period of spatial soliton is analyzed for different parameters of propagation, such as the initial energy of the beam, the nonlocality degree, the modulation degree of lattice, the period of the transverse modulation and the asymptotic rate of the longitudinal modulation of linear refractive index. And the inherent physical mechanisms of pulsating propagation of spatial soliton are discussed for the different parameters of lattice structure. Furthermore, the controllable switching behavior of spatial optical soliton has been achieved in the strongly nonlocal optical lattice with longitudinal modulation of linear refractive index.-
Keywords:
- nonlocal nonlinear Schrdinger equation /
- optical lattice /
- spatial soliton /
- optical switch
[1] ［1］Snyder A W, Mitchell D J 1997 Science 276 1538
[2] ［2］Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[3] ［3］Lin Y Y, Chen I H, Lee R K 2008 J. Opt. A 10 044017
[4] ［4］Kartasov Y V, Zelenina A S, Torner L, Vysloukh V A 2004 Opt. Lett. 29 766
[5] ［5］Zhou J, Xue C H, Qi Y H, Lou S Y 2008 Commun. Theor. Phys. 50 479
[6] ［6］Vicencio R A, Molina M I, Kivshar Y S 2004 Phys. Rev. E 70 026602
[7] ［7］Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 ( in Chinese ) ［郭旗、张霞萍、 胡巍、寿倩 2006 物理学报 55 1832 ］
[8] ［8］Ge L J, Wang Q, Shen M, Shi J L, Kong Q, Hou P 2009 Chin. Phys. B 18 616
[9] ［9］Morandotti R, Peschel U, Aitchison J, Eisenberg H, Silberberg Y 1999 Phys. Rev. Lett. 83 2726
[10] ］Scharf R, Bishop A R 1993 Phys. Rev. E 47 1375
[11] ］Xu Z Y, Kartashov Y V, Torner L 2005 Phys. Rev. Lett. 95 113901
[12] ］Krolikowski W, Bang O 2000 Phys. Rev. E 63 016610
[13] ］Krolikowski W, Bang O, Rasmussen J, Wyller J 2001 Phys. Rev. E 64 016612
[14] ］Motzek K, Kaiser F, Chu W H, Shih M F, Kivshar Y S 2004 Opt. Lett. 29 280
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[1] ［1］Snyder A W, Mitchell D J 1997 Science 276 1538
[2] ［2］Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[3] ［3］Lin Y Y, Chen I H, Lee R K 2008 J. Opt. A 10 044017
[4] ［4］Kartasov Y V, Zelenina A S, Torner L, Vysloukh V A 2004 Opt. Lett. 29 766
[5] ［5］Zhou J, Xue C H, Qi Y H, Lou S Y 2008 Commun. Theor. Phys. 50 479
[6] ［6］Vicencio R A, Molina M I, Kivshar Y S 2004 Phys. Rev. E 70 026602
[7] ［7］Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 ( in Chinese ) ［郭旗、张霞萍、 胡巍、寿倩 2006 物理学报 55 1832 ］
[8] ［8］Ge L J, Wang Q, Shen M, Shi J L, Kong Q, Hou P 2009 Chin. Phys. B 18 616
[9] ［9］Morandotti R, Peschel U, Aitchison J, Eisenberg H, Silberberg Y 1999 Phys. Rev. Lett. 83 2726
[10] ］Scharf R, Bishop A R 1993 Phys. Rev. E 47 1375
[11] ］Xu Z Y, Kartashov Y V, Torner L 2005 Phys. Rev. Lett. 95 113901
[12] ］Krolikowski W, Bang O 2000 Phys. Rev. E 63 016610
[13] ］Krolikowski W, Bang O, Rasmussen J, Wyller J 2001 Phys. Rev. E 64 016612
[14] ］Motzek K, Kaiser F, Chu W H, Shih M F, Kivshar Y S 2004 Opt. Lett. 29 280
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