| GENERAL |
|
|
|
|
Optical Rogue Wave Excitation and Modulation on a Bright Soliton Background |
| Liang Duan1, Zhan-Ying Yang1**, Chong Liu1, Wen-Li Yang2 |
1School of Physics, Northwest University, Xi'an 710069
2Institute of Modern Physics, Northwest University, Xi'an 710069 |
|
| Cite this article: |
|
Liang Duan, Zhan-Ying Yang, Chong Liu et al 2016 Chin. Phys. Lett. 33 010501 |
|
|
|
|
Abstract We study rogue waves in an inhomogeneous nonlinear optical fiber with variable coefficients. An exact rogue wave solution that describes rogue wave excitation and modulation on a bright soliton pulse is obtained. Special properties of rogue waves on the bright soliton, such as the trajectory and spectrum, are analyzed in detail. In particular, our analytical results suggest a way of sustaining the peak shape of rogue waves on the soliton background by choosing an appropriate dispersion parameter.
|
|
|
Received: 15 September 2015
Published: 29 January 2016
|
|
| PACS: |
05.45.Yv
|
(Solitons)
|
| |
42.81.Dp
|
(Propagation, scattering, and losses; solitons)
|
| |
42.65.Sf
|
(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
|
|
|
|
|
|
[1] Kibler B et al 2010 Nat. Phys. 6 790
[2] Solli D R et al 2007 Nature 450 1054
[3] Dudley J M et al 2014 Nat. Photon. 8 755
[4] Birkholz S et al 2015 Phys. Rev. Lett. 114 213901
[5] Akhmediev N and Pelinovsky E 2010 Eur. Phys. J. Spec. Top. 185 1
[6] Onorato M et al 2013 Phys. Rep. 528 47
[7] Osborne A R 2010 Nonlinear Ocean Waves and the Inverse Scattering Transform (New York: Academic Press)
[8] Zakharov V E and Ostrovsky L A 2009 Physica D 238 540
Zakharov V E and Gelash A A 2013 Phys. Rev. Lett. 111 054101
[9] Kedziora D J et al 2013 Phys. Rev. E 88 013207
[10] Guo B L et al 2012 Phys. Rev. E 85 026607
[11] Zhao L C et al 2014 Phys. Rev. E 90 022918
Zhao L C et al 2015 Commun. Nonlinear Sci. Numer. Simul. 20 9
[12] Loomba S et al 2015 Opt. Fiber Technol. 21 20
[13] Akhmediev N et al 2015 Physica D 294 37
[14] Mu G et al 2015 SIAM J. Appl. Math. 75 1
[15] Li L et al 2008 Phys. Rev. A 78 063833
[16] Liu C et al 2014 Opt. Lett. 39 1057
[17] Satsuma J and Yajima N 1974 Prog. Theor. Phys. Suppl. 55 284
[18] Agrawal G P 2007 Nonlinear Fiber Optics 4th edn (Boston: Academic Press)
[19] Ling L M and Zhao L C 2013 Phys. Rev. E 88 043201
[20] Loomba S and Kaur H 2013 Phys. Rev. E 88 062903
[21] Zhong W P, Chen L, Beli? M and Petrovi? N 2014 Phys. Rev. E 90 043201
[22] Serkin V N, Hasegawa A and Belyaeva T L 2007 Phys. Rev. Lett. 98 074102
[23] Ponomarenko S A and Agrawal G P 2007 Opt. Lett. 32 1659
[24] Belmonte-Beitia J, Pérez-García V M, Vekslerchik V and Konotop V V 2008 Phys. Rev. Lett. 100 164102
[25] Ponomarenko S A and Agrawal G P 2007 Opt. Express 15 2963
[26] Akhmediev N, Ankiewicz A and Soto-Crespo J M 2009 Phys. Rev. E 80 026601
[27] Peregrine D H 1983 J. Aust. Math. Soc. Ser. B 25 16
[28] Bogatyrev V A, Bubnov M M, Dianov E M, Kurkov A S, Mamyshev P V et al 1991 J. Lightwave Technol. 9 561
[29] Mamyshev P V, Chernikov S V and Dianov E M 1991 IEEE J. Quantum Electron. 27 2347
[30] Finot C, Barviau B, Millot G, Guryanov A, Sysoliatin A and Wabnitz S 2007 Opt. Express 15 15824
[31] Tajima K 1987 Opt. Lett. 12 54
[32] Dai C Q, Zhou G Q and Zhang J F 2012 Phys. Rev. E 85 016603
Dai C Q, Wang Y Y, Tian Q and Zhang J F 2012 Ann. Phys. 327 512
[33] Loomba S, Gupta R, Kaur H and Rajan M S M 2014 Phys. Lett. A 378 2137
[34] Zhong W P, Beli? M R and Huang T W 2013 Phys. Rev. E 87 065201
Zhong W P, Beli? M R and Zhang Y Q 2015 Opt. Express 23 3708
[35] Yan Z Y and Dai C Q 2013 J. Opt. 15 064012
[36] Zhao L C 2013 Ann. Phys. 329 73
[37] Akhmediev N, Ankiewicz A, Soto-Crespo J M and Dudley J M 2011 Phys. Lett. A 375 541
[38] Liu C, Yang Z Y, Zhao L C and Yang W L 2015 Phys. Rev. E 91 022904
[39] Zhao L C, Li S C and Ling L M 2014 Phys. Rev. E 89 023210 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
