-
从(1+2)维非局域非线性薛定谔方程出发, 通过坐标变换得到了旋转坐标系下的非局域非线性薛定谔方程. 假设响应函数为高斯型, 用虚时间法数值求解了旋转坐标系下的非局域非线性薛定谔方程的静态孤子解, 迭代出了不同非局域程度条件下的静态椭圆孤子数值解. 最后采用分步傅里叶算法, 以迭代的孤子解作为初始输入波形, 模拟了在不同的非局域程度条件下, (1+2)维椭圆空间光孤子的旋转传输特性. 强非局域时, 椭圆光孤子的长轴方向和短轴方向波形都是高斯型, 其他的非局域程度下, 不是高斯型. 由此表明：(1+2)维椭圆光孤子对非局域程度依赖性很强. 旋转角速度和功率均与非局域程度以及孤子的椭圆度有关.
-
关键词:
- 非局域非线性薛定谔方程 /
- 旋转椭圆空间光孤子 /
- 临界功率 /
- 旋转角速度
[1] Eugenieva E D, Christodoulides D N 2000 Opt.Lett. 25 972
[2] Shen M, Wang Q, Shi J L 2007 Opt. Lett. 270 384
[3] Krolikowski W, Bang O, Wyller J 2004 Phys. Rev. E 70 036617
[4] Katz O, Carmon T, Schwartz T, Segev M, Christotoulides D N 2004 Opt. Lett. 29 1248
[5] Ciattoni A, Palma C 2003 J. Opt. Soc. Am. 20 2163
[6] Polyakov S V, Stegeman G I 2002 Phys. Rev. E 66 046622
[7] Qin X J, Guo Q, Hu W, Lan S 2006 Acta Phys. Sin. 55 1237 (in Chinese) [秦晓娟, 郭旗, 胡巍, 兰胜 2006 物理学报 55 1237]
[8] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys.Rev.Lett. 95 213904
[9] Zhang P, Zhao J L, Xiao F J, Lou C B, Xu J J, Chen Z G 2008 Opt.Express. 16 3865
[10] Crosignani B, Porto P D 1993 Opt.Lett. 18 1394
[11] Fibich G, Papnicolaou G 1999 SIAM J.Appl.Math. 60 183
[12] Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J.Opt.B-Quantum S.O. 6 S288
[13] Lopez A S, Desyatnikov A S, Kivshar S Y, Skupin S, Krolikowski W, Bang O 2006 Opt.Lett. 31 1100
[14] Buccoliero D, Lopez A S, Skupin S, Desyatnikov A S, Bang O, Krolikowski W, Kivshar Y S 2007 Physica.B. 394 351
[15] Briedis D, Petersen D E, Edmundson D, Krolikowski W, Bang O 2005 Opt.Express. 73 435
[16] Liang G, Guo Q 2013 Phys. Rev. A 88 043825
[17] Mitchell D J, Snyder A W 1999 J.Opt.Soc.Am.B 16 236
[18] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys.Rev.E 64 016612
[19] Guo Q, Chi S 2000 J.Opt.A:Pure Appl.Opt. 2 5
[20] Yang J K, Lakoba T L 2008 Stud.Appl.Math. 120 265
[21] Chiofalo M L, Succi S, Tosi M P 2000 Phys.Rev.E 62 7438
[22] Carr L D, Castin Y 2002 Phys.Rev.A 66 063602
[23] Cao J N, Guo Q 2005 Acta Phys.Sin. 54 3688 (in Chinese) [曹觉能, 郭旗 2005 物理学报 54 3688]
-
[1] Eugenieva E D, Christodoulides D N 2000 Opt.Lett. 25 972
[2] Shen M, Wang Q, Shi J L 2007 Opt. Lett. 270 384
[3] Krolikowski W, Bang O, Wyller J 2004 Phys. Rev. E 70 036617
[4] Katz O, Carmon T, Schwartz T, Segev M, Christotoulides D N 2004 Opt. Lett. 29 1248
[5] Ciattoni A, Palma C 2003 J. Opt. Soc. Am. 20 2163
[6] Polyakov S V, Stegeman G I 2002 Phys. Rev. E 66 046622
[7] Qin X J, Guo Q, Hu W, Lan S 2006 Acta Phys. Sin. 55 1237 (in Chinese) [秦晓娟, 郭旗, 胡巍, 兰胜 2006 物理学报 55 1237]
[8] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys.Rev.Lett. 95 213904
[9] Zhang P, Zhao J L, Xiao F J, Lou C B, Xu J J, Chen Z G 2008 Opt.Express. 16 3865
[10] Crosignani B, Porto P D 1993 Opt.Lett. 18 1394
[11] Fibich G, Papnicolaou G 1999 SIAM J.Appl.Math. 60 183
[12] Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J.Opt.B-Quantum S.O. 6 S288
[13] Lopez A S, Desyatnikov A S, Kivshar S Y, Skupin S, Krolikowski W, Bang O 2006 Opt.Lett. 31 1100
[14] Buccoliero D, Lopez A S, Skupin S, Desyatnikov A S, Bang O, Krolikowski W, Kivshar Y S 2007 Physica.B. 394 351
[15] Briedis D, Petersen D E, Edmundson D, Krolikowski W, Bang O 2005 Opt.Express. 73 435
[16] Liang G, Guo Q 2013 Phys. Rev. A 88 043825
[17] Mitchell D J, Snyder A W 1999 J.Opt.Soc.Am.B 16 236
[18] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys.Rev.E 64 016612
[19] Guo Q, Chi S 2000 J.Opt.A:Pure Appl.Opt. 2 5
[20] Yang J K, Lakoba T L 2008 Stud.Appl.Math. 120 265
[21] Chiofalo M L, Succi S, Tosi M P 2000 Phys.Rev.E 62 7438
[22] Carr L D, Castin Y 2002 Phys.Rev.A 66 063602
[23] Cao J N, Guo Q 2005 Acta Phys.Sin. 54 3688 (in Chinese) [曹觉能, 郭旗 2005 物理学报 54 3688]
| 引用本文: |
|
| Citation: |
|
计量
- 文章访问数: 369
- PDF下载量: 105
- 被引次数: 0
下载: