布拉格光栅中微扰光声孤子

李华星; 林机

doi:10.7498/aps.60.124201

摘要

研究了布拉格光栅中光波和声波的相互作用. 利用多重尺度方法,将光声耦合方程约化为非线性薛定谔方程,并给出了单光声孤子和双光声孤子近似解析解. 进一步讨论了光声孤子抑制光速的机理和双光声孤子的相互作用性质.

关键词:

We investigate the interaction between acoustic and optical signals in Bragg gratings. Using the multiple-scale method, we convert the optoacoustic coupled mode equations into a standard nonlinear Schrdinger equation. Thus, we obtain approximate solutions of the optoacoustic coupled mode equations, such as the single-soliton solutions and multiple-soliton solutions. Furthermore, we discuss the properties of slowing light of optoacoustic solitons and the interaction of two-soliton solutions.

Keywords:

作者及机构信息

李华星,
林机

1.
浙江师范大学非线性物理研究所,金华 321004

基金项目: 国家自然科学基金(批准号:10875106)资助的课题.

Authors and contacts

Li Hua-Xing,
Lin Ji

1.
Institute of Nonlinear Physics, Zhejiang Normal Univesity, Jinhua 321004, China

参考文献

[1]	Kashyap R 1999 Fiber Bragg Gratings (San Diego:Academic Press) p10
[2]
[3]	Eggleton B J, Slusher R E, Sterke C M D 1996 Phys. Rev. Lett. 76 1627
[4]	Taverner D, Broderick N G R, Richardson D J 1998 Opt. Lett. 23 328
[5]
[6]	Chen W, Mills D L 1987 Phys. Rev. Lett. 58 160
[7]
[8]	Sterke C M D, Sipe J E 1994 Gap Solitons (Amsterdam: Elsevier) p204
[9]
[10]
[11]	Winful H G, Raman V P 2000 Phys. Rev. Lett. 84 3586
[12]	William C K M, Malomed B A, Chu P L 2003 Phys. Rev. E 68 026609
[13]
[14]
[15]	Mok J T, Sterke C M D, Littler I C M 2006 Nat. Phys. 2 775
[16]
[17]	Tian J F, Wu Z M, Xia G Q 2006 Acta Phys. Sin. 55 6419 (in Chinese) [田剑锋、吴正茂、夏光琼 2006 物理学报 55 6419]
[18]
[19]	Tian J F, Wu Z M, Xia G Q 2007 Acta Phys. Sin. 56 2256 (in Chinese) [田剑锋、吴正茂、夏光琼 2007 物理学报 56 2256]
[20]
[21]	Kazantseva E V, Maimistov A I 2009 Phys. Rev. A 79 033812
[22]	Kalithasan B, Porsezian K, Senthilnathan K 2010 Phys. Rev. A 81 053802
[23]
[24]	Zhao C, Ju L, Fan Y 2008 Phys. Rev. A 78 023807
[25]
[26]
[27]	Fermann M E, Silva V D, Smith D A 1993 Opt. Lett. 18 1505
[28]	Verluise F, Laude V 2000 Opt. Lett. 25 575
[29]
[30]	Buckland E, Boyd R W 1997 Opt. Lett. 22 676
[31]
[32]
[33]	Buckland E, Boyd R W 1996 Opt. Lett. 21 1117
[34]
[35]	Gao J S, Zhang N 2009 Acta Phys. Sin. 58 8607 (in Chinese) [高剑森、张宁 2009 物理学报 58 8607]
[36]
[37]	Zhou K Y, Ye H, Zhen H Y, Yin Y, Shen W D 2010 Acta Phys. Sin. 59 365 (in Chinese) [周可余、叶辉、甄红宇、尹伊、沈伟东 2010 物理学报 59 365]
[38]	Tasgal R S, Band Y B 2007 Phys. Rev. Lett. 98 243902
[39]
[40]	Sterke C M D, Sipe J E 1990 Phys. Rev. A 42 550
[41]
[42]	Sterke C M D, Sipe J E 1988 Phys. Rev. A 38 5149
[43]
[44]	Cheng X P, Ye L J, Lin J 2007 Commun. Theor. Phys. 48 227
[45]
[46]
[47]	Ruan H Y, Chen Y X, Lou S Y 2001 Commun. Theor. Phys. 35 641

施引文献

[1]	Kashyap R 1999 Fiber Bragg Gratings (San Diego:Academic Press) p10
[2]
[3]	Eggleton B J, Slusher R E, Sterke C M D 1996 Phys. Rev. Lett. 76 1627
[4]	Taverner D, Broderick N G R, Richardson D J 1998 Opt. Lett. 23 328
[5]
[6]	Chen W, Mills D L 1987 Phys. Rev. Lett. 58 160
[7]
[8]	Sterke C M D, Sipe J E 1994 Gap Solitons (Amsterdam: Elsevier) p204
[9]
[10]
[11]	Winful H G, Raman V P 2000 Phys. Rev. Lett. 84 3586
[12]	William C K M, Malomed B A, Chu P L 2003 Phys. Rev. E 68 026609
[13]
[14]
[15]	Mok J T, Sterke C M D, Littler I C M 2006 Nat. Phys. 2 775
[16]
[17]	Tian J F, Wu Z M, Xia G Q 2006 Acta Phys. Sin. 55 6419 (in Chinese) [田剑锋、吴正茂、夏光琼 2006 物理学报 55 6419]
[18]
[19]	Tian J F, Wu Z M, Xia G Q 2007 Acta Phys. Sin. 56 2256 (in Chinese) [田剑锋、吴正茂、夏光琼 2007 物理学报 56 2256]
[20]
[21]	Kazantseva E V, Maimistov A I 2009 Phys. Rev. A 79 033812
[22]	Kalithasan B, Porsezian K, Senthilnathan K 2010 Phys. Rev. A 81 053802
[23]
[24]	Zhao C, Ju L, Fan Y 2008 Phys. Rev. A 78 023807
[25]
[26]
[27]	Fermann M E, Silva V D, Smith D A 1993 Opt. Lett. 18 1505
[28]	Verluise F, Laude V 2000 Opt. Lett. 25 575
[29]
[30]	Buckland E, Boyd R W 1997 Opt. Lett. 22 676
[31]
[32]
[33]	Buckland E, Boyd R W 1996 Opt. Lett. 21 1117
[34]
[35]	Gao J S, Zhang N 2009 Acta Phys. Sin. 58 8607 (in Chinese) [高剑森、张宁 2009 物理学报 58 8607]
[36]
[37]	Zhou K Y, Ye H, Zhen H Y, Yin Y, Shen W D 2010 Acta Phys. Sin. 59 365 (in Chinese) [周可余、叶辉、甄红宇、尹伊、沈伟东 2010 物理学报 59 365]
[38]	Tasgal R S, Band Y B 2007 Phys. Rev. Lett. 98 243902
[39]
[40]	Sterke C M D, Sipe J E 1990 Phys. Rev. A 42 550
[41]
[42]	Sterke C M D, Sipe J E 1988 Phys. Rev. A 38 5149
[43]
[44]	Cheng X P, Ye L J, Lin J 2007 Commun. Theor. Phys. 48 227
[45]
[46]
[47]	Ruan H Y, Chen Y X, Lou S Y 2001 Commun. Theor. Phys. 35 641

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