光纤放大器中非自治光畸波的传播控制研究

胡文成; 张解放; 赵辟; 楼吉辉

doi:10.7498/aps.62.024216

摘要

本文采用一个通用的理论, 即用相似变换的方法, 研究构建了(1+1)维变系数非线性薛定谔方程的精确畸形波解, 首先讨论了一阶光畸波在光纤放大器中的传播问题. 发现光学畸波的特性, 如宽度、振幅和位置, 可通过非线性光学介质特性和光脉冲的初始参量进行控制; 然后在选择可控参数条件下, 讨论了可控光畸波在非线性介质的传播行为, 包括延迟激发、抑制、以及保持. 这在理论和实际应用上具有启迪价值.

关键词:

We propose a unified theory, that is, similarity transformation, to construct exact optical rogue wave solution of (1+1)-dimensional nonlinear Schrödinger equation with variable coefficients. Moreover, we investigate propagation dynamics of the first-order optical rogue wave in an optical fiber amplifier. In the suitable regulation of parameters, we find that the properties of the optical rogue wave, such as width, amplitude and position, are controllable in a nonlinear medium. These results give edification in theory and practical application.

Keywords:

作者及机构信息

1.
浙江师范大学, 数理与信息工程学院, 金华 321004;

2.
浙江传媒学院, 杭州 310018

基金项目: 国家自然科学基金(批准号：11072219)资助的课题.

Authors and contacts

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

2.
Zhejiang University of Media and Communications, Hangzhou 310000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11072219).

参考文献

[1]	Osborne A R 2009 Nonlinear Ocean Waves New York Academic Press
[2]	Kharif C, Pelinovsky E, Slunyaev A 2009 Rogue Waves in the Ocean, Observation, Theories and Modeling New York Springer
[3]	Muller P, Garrett Ch, Osborne A 2005 Oceanography. 18 66
[4]	Tao A F, Hu G D 2008 Journal of Natural Disasters 17 01 (in Chinese) [陶爱峰, 胡国栋 2008 自然灾害学报 17 01]
[5]	Akhmediev N, Ankiewicz A, Taki M 2009 Phys. Lett. A 373 675
[6]	Ankiewicz A, Devine N, Akhmediev N 2009 Phys Lett. A 373 3997
[7]	Li J, Chen G, Yang J M 2009 China Offshore Platform. 24 03 (in Chinese) [李俊, 陈刚, 杨建民 2009 中国海洋平台 24 03]
[8]	Xie T, Nan C F, Kuang H L, Zou G H, Chen W 2009 Acta Phys. Sin. 58 4001 (in Chinese) [谢涛, 南撑峰, 旷海兰, 邹光辉, 陈伟 2009 58 4001]
[9]	Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Modern Phys. 71 463
[10]	Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[11]	Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[12]	Ponomarenko S A, Agrawal G P 2008 J. Opt. Soc. Am. B 25 983
[13]	Tian Q, Yang Q, Dai C Q, Zhang J F 2011 Opt. Commun. 284 2222
[14]	Solli D R, Ropers C, Koonath P, Jalali B 2007 Nature 450 1054
[15]	Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[16]	Peregrine D H 1983 J. Australian Math. Soc. Ser. B 25 16
[17]	Ohta Y and Yang J K 2012 Proc. R. Soc A 468 1716
[18]	Serkin V N, Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[19]	Ponomarenko S A, Agrawal G P 2007 Opt. Express 15 2963
[20]	Kruglov V I, Peacock A C, Dudley J M, Harvey J D 2000 Opt. Lett. 25 1753
[21]	Zhenya Yan 2012 Phys. Lett. A 374 672
[22]	Moores J D 1996 Opt. Lett. 21 555
[23]	Dai C Q, Zhu S Q, Wang L L, Zhang J F 2010 Europhys. Lett. 92 24005

施引文献

[1]	Osborne A R 2009 Nonlinear Ocean Waves New York Academic Press
[2]	Kharif C, Pelinovsky E, Slunyaev A 2009 Rogue Waves in the Ocean, Observation, Theories and Modeling New York Springer
[3]	Muller P, Garrett Ch, Osborne A 2005 Oceanography. 18 66
[4]	Tao A F, Hu G D 2008 Journal of Natural Disasters 17 01 (in Chinese) [陶爱峰, 胡国栋 2008 自然灾害学报 17 01]
[5]	Akhmediev N, Ankiewicz A, Taki M 2009 Phys. Lett. A 373 675
[6]	Ankiewicz A, Devine N, Akhmediev N 2009 Phys Lett. A 373 3997
[7]	Li J, Chen G, Yang J M 2009 China Offshore Platform. 24 03 (in Chinese) [李俊, 陈刚, 杨建民 2009 中国海洋平台 24 03]
[8]	Xie T, Nan C F, Kuang H L, Zou G H, Chen W 2009 Acta Phys. Sin. 58 4001 (in Chinese) [谢涛, 南撑峰, 旷海兰, 邹光辉, 陈伟 2009 58 4001]
[9]	Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Modern Phys. 71 463
[10]	Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[11]	Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[12]	Ponomarenko S A, Agrawal G P 2008 J. Opt. Soc. Am. B 25 983
[13]	Tian Q, Yang Q, Dai C Q, Zhang J F 2011 Opt. Commun. 284 2222
[14]	Solli D R, Ropers C, Koonath P, Jalali B 2007 Nature 450 1054
[15]	Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[16]	Peregrine D H 1983 J. Australian Math. Soc. Ser. B 25 16
[17]	Ohta Y and Yang J K 2012 Proc. R. Soc A 468 1716
[18]	Serkin V N, Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[19]	Ponomarenko S A, Agrawal G P 2007 Opt. Express 15 2963
[20]	Kruglov V I, Peacock A C, Dudley J M, Harvey J D 2000 Opt. Lett. 25 1753
[21]	Zhenya Yan 2012 Phys. Lett. A 374 672
[22]	Moores J D 1996 Opt. Lett. 21 555
[23]	Dai C Q, Zhu S Q, Wang L L, Zhang J F 2010 Europhys. Lett. 92 24005

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