光弹在库墨-高斯晶格中传输特性的研究

周博臻; 徐四六; 程正则

doi:10.7498/aps.62.084210

摘要

基于分布傅里叶算法及快速虚时间演化迭代法, 研究了光弹在线性和非线性散射异相调制的库墨-高斯晶格中传输的特性. 结果表明, 线性和非线性相位调制显著地改变了光弹的形状及其稳定范围, 并且非线性调制深度通过传播常数控制稳定性区域的宽度, 稳定时空光孤子的能量随着非线性调制深度的加强而增长.

关键词:

Based on the division Fourier algorithm and the rapid virtual time evolution (AITEM) iterative method, the transmission characteristics of bullet in linear and nonlinear scattering out of phase modulation Kummer-Gauss optical lattice are studied. The results show that the linear and nonlinear phase modulation significantly change the bullet shape and its range of stability, and the nonlinear modulation depth through the propagation constant controls the stability region width. It is shown that stable space-time soliton energy will grow with nonlinear modulation depth strengthening.

Keywords:

time-space soliton /
the Kummer-Gauss lattice /
rapid virtual time evolution iterative method

作者及机构信息

1.
湖北科技学院电子与信息工程学院, 咸宁 437100

基金项目: 湖北省自然科学基金(批准号:2011cdc005)、湖北省教育厅重点项目(批准号:2012hcc003)和湖北科技学院项目(批准号:12010507069)资助的课题.

Authors and contacts

1.
School of Electronic and Information Engineering, Hubei Institute of Science and Technology, Xianning 437100, China

Funds: Project supported by Natural Science Foundation of Hubei Province, China (Grant No. 2011CDC005), the Key Project of Education Department of Hubei Province, China (Grant No. D20122804), and the Hubei Institute of Science and Technology Project, China (Grant No. 12010507069).

参考文献

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[2]	Malomed B A, Mihalache D, Wise F, Torner L 2005 J. Opt. B 7 53R
[3]	Xu S L, Belić M R, Zhang W P 2012 J. Opt. Soc. Am. B 29 1
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[6]	Liu J S, Hao Z H 2002 Acta Phys. Sin. 51 2772 (in Chinese) [刘劲松, 郝中华2002物理学报 51 2772]
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[8]	Desyatnikov A, Maimistov A, Malomed B 2000 Phys. Rev. E 61 3107
[9]	Mihalache D, Mazilu D, Crasovan L C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P, Lederer F 2002 Phys. Rev. Lett. 88 073902
[10]	Trapani P D, Caironi D, Valiulis G, Dubietis A, Danielius R, Piskarskas A 1998 Phys. Rev. Lett. 81 570
[11]	Liu X, Qian L J, Wise F W 1999 Phys. Rev. Lett. 82 4361
[12]	Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[13]	Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2006 Phys. Rev. E 73 025601(R)
[14]	Xu S L, Liu H P, Yi L 2010 Acta Phys. Sin. 59 1069 (in Chinese) [徐四六, 刘会平, 易林 2010 物理学报 59 1069]
[15]	Torner L, Carrasco S, Torres J P, Crasovan L C, Mihalache D 2001 Opt. Commun. 199 277
[16]	Torner L, Kartashov Y V 2009 Opt. Lett. 34 1129
[17]	Aceves A B, Angelis C D 1993 Opt. Lett. 18 110
[18]	Aceves A B, Angelis C D, Rubenchik A M, Turitsyn S K 1994 Opt. Lett. 19 329
[19]	Aceves A B, Luther G G, Angelis C D, Rubenchik A M, Turitsyn S K, 1995 Phys. Rev. Lett. 75 73
[20]	Baizakov B B, Malomed B A, Salerno M 2004 Phys. Rev. A 70 053613
[21]	Mihalache D, Mazilu D, Lederer F, Kartashov Y V, Crasovan L C, Torner L 2004 Phys. Rev. E 70 055603
[22]	Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2005 Phys. Rev. Lett. 95 023902
[23]	Lina T C, Weic J, Yao W 2010 J. Diff. Equ. 9 2111
[24]	Kartashov Y V, Egorov A A, Vysloukh V A, Torner L 2006 Opt. Express 14 4049
[25]	Yang J K, Lakoba T I 2008 Stud. Appl. Math. 3 265
[26]	Ye F W, Kartashov Y V, Hu B B, Torner L 2009 Opt. Express 14 11328

施引文献

[1]	Silberberg Y 1990 Opt. Lett. 15 1282
[2]	Malomed B A, Mihalache D, Wise F, Torner L 2005 J. Opt. B 7 53R
[3]	Xu S L, Belić M R, Zhang W P 2012 J. Opt. Soc. Am. B 29 1
[4]	Wu Z, Wang Q, Wei Q 2001 Acta Phys. Sin. 50 489 (in Chinese) [吴中, 王奇, 卫青 2001 物理学报 50 48]
[5]	He G G, Wang X S, She W L 2002 Acta Phys. Sin. 51 2270 (in Chinese) [何国岗, 王晓生, 佘卫龙2002 物理学报 51 2270]
[6]	Liu J S, Hao Z H 2002 Acta Phys. Sin. 51 2772 (in Chinese) [刘劲松, 郝中华2002物理学报 51 2772]
[7]	Edmundson D E, Enns R H 1992 Opt. Lett. 17 586
[8]	Desyatnikov A, Maimistov A, Malomed B 2000 Phys. Rev. E 61 3107
[9]	Mihalache D, Mazilu D, Crasovan L C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P, Lederer F 2002 Phys. Rev. Lett. 88 073902
[10]	Trapani P D, Caironi D, Valiulis G, Dubietis A, Danielius R, Piskarskas A 1998 Phys. Rev. Lett. 81 570
[11]	Liu X, Qian L J, Wise F W 1999 Phys. Rev. Lett. 82 4361
[12]	Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[13]	Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2006 Phys. Rev. E 73 025601(R)
[14]	Xu S L, Liu H P, Yi L 2010 Acta Phys. Sin. 59 1069 (in Chinese) [徐四六, 刘会平, 易林 2010 物理学报 59 1069]
[15]	Torner L, Carrasco S, Torres J P, Crasovan L C, Mihalache D 2001 Opt. Commun. 199 277
[16]	Torner L, Kartashov Y V 2009 Opt. Lett. 34 1129
[17]	Aceves A B, Angelis C D 1993 Opt. Lett. 18 110
[18]	Aceves A B, Angelis C D, Rubenchik A M, Turitsyn S K 1994 Opt. Lett. 19 329
[19]	Aceves A B, Luther G G, Angelis C D, Rubenchik A M, Turitsyn S K, 1995 Phys. Rev. Lett. 75 73
[20]	Baizakov B B, Malomed B A, Salerno M 2004 Phys. Rev. A 70 053613
[21]	Mihalache D, Mazilu D, Lederer F, Kartashov Y V, Crasovan L C, Torner L 2004 Phys. Rev. E 70 055603
[22]	Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2005 Phys. Rev. Lett. 95 023902
[23]	Lina T C, Weic J, Yao W 2010 J. Diff. Equ. 9 2111
[24]	Kartashov Y V, Egorov A A, Vysloukh V A, Torner L 2006 Opt. Express 14 4049
[25]	Yang J K, Lakoba T I 2008 Stud. Appl. Math. 3 265
[26]	Ye F W, Kartashov Y V, Hu B B, Torner L 2009 Opt. Express 14 11328

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