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对非局域非线性介质中, (1+1)维表面亮孤子进行了研究, 主要考虑了边界对孤子的影响. 首先, 在归一化系统中, 对于给定的边界条件, 求出了表面孤子的解析解, 得到了表面孤子的临界功率和平衡位置. 其次, 在数值模拟中, 发现当样品宽度太小时, 受到边界影响而很难形成表面孤子, 只有当样品宽度足够大时, 边界对孤子的影响可以忽略, 从而形成稳定传输的孤子, 并与解析的结果相似. 此外, 还考虑了在光束偏离平衡位置入射的情况下, 边界对孤子的影响, 发现此时光束在边界附近做周期性震荡, 相当于体介质中双光束相互作用的结果, 两者运动轨迹与震荡周期完全符合.In this paper, the impacts of boundary on the surface bright soliton in (1+1)-dimensional nonlocal nonlinear media are investigated First the solution of the surface soliton under the given boundary conditions in a normalized system is derived, and then, the critical power and the balance position of the surface soliton are obtained. Next, in the numerical simulation, due to the impact of boundary, it is difficult to form stable solitons when the width of the sample is too small. And the impact of the boundary on the soliton can be ignored only if the width of the sample is large enough; then the stable soliton can exist, which is similar to the analytical results. In addition, the impact of the boundary on the surface soliton when beams do not input from its equilibrium position is also investigated. In this case, the beam will propagate oscillating periodically about the stationary position, which is equivalent to the interaction of two out-of-phase solitons in nonlocal bulk media. Both the oscillating trajectory and period dovetail coinsde nicely with each other.
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Keywords:
- nonlocal nonlinear /
- boundary width of the sample /
- oscillating periodically /
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[25] Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Gao X H, Hu W 2011 Opt. Express 4890-4899
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[28] Gao X H, Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 084213 (in Chinese) [高星辉, 杨振军, 周罗红, 郑一周, 陆大全, 胡巍 2011 物理学报 60 084213]
[29] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
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[1] Guo Q Luo B Yi F H, Chi S, Xie Y Q 2004 Phys. Rev. E 69 016602
[2] Zheng Y J, Xuan W T, Lu D Q, OuYang S G, Hu W, Guo Q 2010 Acta Phys. Sin. 59 1075 (in Chinese) [郑亚建, 宣文涛, 陆大全, 欧阳世根, 胡巍, 郭旗 2010 物理学报 59 1075]
[3] Jiang Q, Shou Q, Zheng Y J, Liang Y B, Hu W, Guo Q 2010 Acta Phys. Sin. 59 0329 (in Chinese) [江群, 寿倩, 郑亚健, 梁炎斌, 胡巍, 郭旗 2010 物理学报 59 0329]
[4] Liang Y B, Zheng Y J, Yang P B, Cao L G, Lu D Q, Hu W, Guo Q 2008 Acta Phys. Sin. 57 5690 (in Chinese) [梁炎斌, 郑亚建, 杨平保, 曹龙贵, 陆大全, 胡巍, 郭 旗 2008 物理学报 57 5690]
[5] Chen L X, Lu D Q, Hu W, Yang Z J, Cao W W, Zheng R, Guo Q 2010 Acta Phys. Sin. 59 327 (in Chinese) [陈利霞, 陆大全, 胡巍, 杨振军, 曹伟文, 郑睿, 郭旗 2010 物理学报 59 327]
[6] Yang Z J, Li S H, Lu D Q, Hu W 2010 Acta Phys. Sin. 59 4707 (in Chinese) [杨振军, 李少华, 陆大全, 胡巍 2010 物理学报 59 4707]
[7] Yang Z J, Lu D Q, Hu W, Zheng Y Z, Gao X H 2010 Chin. Phys. B 19 124212
[8] Rotschild C, Segev M, Xu Z, Kartashov Y V, TornerL Cohen 2006 Opt. Lett. 31 3312
[9] Rotschild C, Cohen O, Manela O, Segev M 005 Phys. Rev. Lett. 95 213904
[10] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[11] Hu W, Zhang T, Guo Q, Li X, Lan S 2006 Appl. Phys. Lett. 89 07111
[12] Peccianti M, Brzdkiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[13] Conti C, Peccianti M, Assanto G 2003 Phys. Rev.Lett. 91 073901
[14] Skupin S, Saffman M, Krolikowski W 2007 Phys. Rev. Lett. 98 263902
[15] Mitchell M, Segev M, and Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[16] Snyder A W, Mitchell D J 1997 Science 276 1538
[17] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[18] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[19] Kartashov F, Ye Y V, Torner L 2008 Phys. Rev. A 77 033829
[20] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 16216
[21] Alfassi B, Rotschild C, Segev M 2009 Phys. Rev. A 80 041808
[22] Kartashov Y V, Vysloukh V A, Torner L 2008 Opt. Lett. 33 506
[23] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[24] Ma X K, Yang Z J, Lu D Q, Guo Q, Hu W 2011 Phys. Rev. A 83 033829
[25] Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Gao X H, Hu W 2011 Opt. Express 4890-4899
[26] Peng H Q, Ma X K, Lu D Q, Hu W 2012 Acta Phys. Sin. 61 184211 (in Chinese) [彭虎庆, 马学凯, 陆大全, 胡巍 2012 物理学报 61 184211]
[27] Cai S Y, Mei L, Peng H Q, Lu D Q, Hu W 2012 Acta Phys. Sin. 61 154211 (in Chinese) [蔡善勇, 梅磊, 彭虎庆陆大全, 胡巍 2012 物理学报 61 154211]
[28] Gao X H, Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 084213 (in Chinese) [高星辉, 杨振军, 周罗红, 郑一周, 陆大全, 胡巍 2011 物理学报 60 084213]
[29] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[30] Shou Q, Liang Y B, Jiang Q, Zheng Y J, Lan S, Hu W, Guo Q 2009 Opt. Lett. 34 3523
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