|
|
Controllable optical superregular breathers in the femtosecond regime |
Yang Ren(任杨)1,2, Zhan-Ying Yang(杨战营)1,2, Chong Liu(刘冲)1,2, Wen-Li Yang(杨文力)2,3 |
1 School of Physics, Northwest University, Xi'an 710069, China; 2 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710069, China; 3 Institute of Modern Physics, Northwest University, Xi'an 710069, China |
|
|
Abstract We investigate optical superregular breathers in the femtosecond regime under dispersion management in an inhomogeneous fiber governed by the nonautonomous higher-order nonlinear Schrödinger equation (NLSE). Exact solutions describing the dynamics of superregular breathers are obtained. Furthermore, we discuss the propagation behaviors of controllable superregular breathers, including stabilization and recurrence in an exponential dispersion fiber and a periodic distributed fiber system. Particularly, the nonlinear dynamics of superregular modes evolved from an identical initial small-amplitude modulation is analyzed in detail.
|
Received: 30 August 2017
Revised: 30 September 2017
Accepted manuscript online:
|
PACS:
|
05.45.Yv
|
(Solitons)
|
|
02.30.Ik
|
(Integrable systems)
|
|
42.81.Dp
|
(Propagation, scattering, and losses; solitons)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11547302, 11705145, and 11434013). |
Corresponding Authors:
Zhan-Ying Yang, Chong Liu
E-mail: zyyang@nwu.edu.cn;nwudavid@163.com
|
Cite this article:
Yang Ren(任杨), Zhan-Ying Yang(杨战营), Chong Liu(刘冲), Wen-Li Yang(杨文力) Controllable optical superregular breathers in the femtosecond regime 2018 Chin. Phys. B 27 010504
|
[1] |
Akhmediev N, Soto-Crespo J M and Ankiewicz A 2009 Phys. Lett. A 373 2137
|
[2] |
Akhmediev N and Pelinovsky E 2010 Eur. Phys. J. Spec. Top. 185 1
|
[3] |
Onorato M, Residori S, Bortolozzo U, Montina A and Arecchi F T 2013 Phys. Rep. 528 47
|
[4] |
Akhmediev N, Dudley J M, Solli D R and Turitsyn S K 2013 J. Opt. 15 060201
|
[5] |
Akhmediev N, Kibler B, Baronio F, Belić M, Zhong W P, Zhang Y, Chang W, Soto-Crespo J M, Vouzas P and Grelu P 2016 J. Opt. 18 063001
|
[6] |
Dudley J M, Dias F, Erkintalo M and Genty G 2014 Nat. Photon. 8 755
|
[7] |
Akhmediev N, Ankiewicz A and Taki M 2009 Phys. Lett. A 373 675
|
[8] |
Zakharov V E and Gelash A A 2013 Phys. Rev. Lett. 111 054101
|
[9] |
Gelash A A and Zakharov V E 2014 Nonlinearity 27 R1
|
[10] |
Kibler B, Chabchoub A, Gelash A, Akhmediev N and Zakharov V E 2015 Phys. Rev. X 5 041026
|
[11] |
Sun Y H 2016 Phys. Rev. E 93 052222
|
[12] |
Slunyaev A V and Pelinovsky E N 2016 Phys. Rev. Lett. 117 214501
|
[13] |
Erkintalo M, Hammani K, Kibler B, Finot C, Akhmediev N, Dudley J M and Genty G 2011 Phys. Rev. Lett. 107 253901
|
[14] |
Hasegawa A and Matsumoto M 2003 Optical Solitons in Fibers (Berlin: Springer-Verlag)
|
[15] |
Porsezian K, Hasegawa A, Serkin V N, Belyaeva T L and Ganapathy R 2007 Phys. Lett. A 361 504
|
[16] |
Eggleton B J, Sterke C M and Slusher R E 1997 J. Opt. Soc. Am. B 14 2980
|
[17] |
Xu W C, Zhang S M, Chen W C, Luo A P and Liu S H 2001 Opt. Commun. 199 355
|
[18] |
Hasegawa A, Kodama Y and Maruta A 1997 Opt. Fiber Technol. 3 197
|
[19] |
Li Z H, Li L, Tian H P and Zhou G S 2000 Phys. Rev. Lett. 84 4096
|
[20] |
Ankiewicz A, Soto-Crespo J M, Chowdury M A and Akhmediev N 2013 J. Opt. Soc. Am. B 30 87
|
[21] |
Bandelow U and Akhmediev N 2012 Phys. Rev. E 86 026606
|
[22] |
Chen S 2013 Phys. Rev. E 88 023202
|
[23] |
Soto-Crespo J M, Devine N, Hoffmann N P and Akhmediev N 2014 Phys. Rev. E 90 032902
|
[24] |
Zhao L C, Li S C and Ling L M 2014 Phys. Rev. E 89 023210
|
[25] |
Xu T, Li M and Li L 2015 Europhys. Lett. 109 30006
|
[26] |
He J S, Xu S W, Ruderman M S and Erdćlyi R 2014 Chin. Phys. Lett. 31 010502
|
[27] |
Liu C, Yang Z Y, Zhao L C and Yang W L 2015 Phys. Rev. E 91 022904
|
[28] |
Chowdury A, Ankiewicz A and Akhmediev N 2015 Proc. R. Soc. A 471 20150130
|
[29] |
Liu C, Yang Z Y, Zhao L C, Duan L, Yang G and Yang W L 2016 Phys. Rev. E 94 042221
|
[30] |
Chowdury A, Kedziora D J, Ankiewicz A and Akhmediev N 2015 Phys. Rev. E 91 032928
|
[31] |
Wang L, Zhang J H, Wang Z Q, Liu C, Li M, Qi F H and Guo R 2016 Phys. Rev. E 93 012214
|
[32] |
Wang L, Jiang D Y, Qi F H, Shi Y Y and Zhao Y C 2017 Commun. Nonlinear Sci. Numer. Simulat. 42 502
|
[33] |
Ren Y, Yang Z Y, Liu C and Yang W L 2016 Eur. Phys. J. D 70 187
|
[34] |
Wang L, Li X, Qi F H and Zhang L L 2015 Annals of Physics 359 97
|
[35] |
Wang L, Zhu Y J, Qi F H, Li M and Guo R 2015 Chaos 25 063111
|
[36] |
Wang L, Wang Z Q, Sun W R, Shi Y Y, Li M and Xu M 2017 Commun. Nonlinear Sci. Numer. Simulat. 47 190
|
[37] |
Wang X, Liu C and Wang L 2017 J. Math. Anal. Appl. 449 1534
|
[38] |
Yu F 2016 Commun Nonlinear Sci Numer Simulat 34 142
|
[39] |
Yu F 2016 Nonlinear Dynamics 85 1203
|
[40] |
Yu F 2015 Phys. Rev. E 91 032914
|
[41] |
Yang R C, Hao R Y, Li L, Li Z H and Zhou G S 2004 Opt. Commun. 242 285
|
[42] |
Hao R Y, Li L, Li Z H and Zhou G S 2004 Phys. Rev. E 70 066603
|
[43] |
Zhang J F, Yang Q and Dai C Q 2005 Opt. Commun. 248 257
|
[44] |
Yang R C, Li L, Hao R Y, Li Z H and Zhou G S 2005 Phys. Rev. E 71 036616
|
[45] |
Dai C Q, Zhou G Q and Zhang J F 2012 Phys. Rev. E 85 016603
|
[46] |
Wang L, Zhang J H, Liu C, Li M and Qi F H 2016 Phys. Rev. E 93 062217
|
[47] |
Wang J F, Li L, Li Z H, Zhou G S, Mihalache D and Malomed B A 2006 Opt. Commun. 263 328
|
[48] |
Porsezian K, Hasegawa A, Serkin V N, Belyaeva T L and Ganapathy R 2007 Phys. Lett. A 361 504
|
[49] |
Bogatyrev V A, Bubnov M M, Dianov E M, Kurkov A S, Mamyshev P V, Prokhorov A M, Rumyantsev S D, Semenov S L, Sysoliatin A A, Chemikov S V, Guryanov A N, Devyatykh G G and Miroshnichenko S I 1991 J. Lightw. Technol. 9 561
|
[50] |
Ankiewicz A, Soto-Crespo J M and Akhmediev N 2010 Phys. Rev. E 81 046602
|
[51] |
Akhmediev N, Soto-Crespo J M and Ankiewicz A 2009 Phys. Lett. A 373 2137
|
[52] |
Akhmediev N, Soto-Crespo J M and Ankiewicz A 2009 Phys. Rev. A 80 043818
|
[53] |
He J S, Zhang H R, Wang L H, Porsezian K and Fokas A S 2013 Phys. Rev. E 87 052914
|
[54] |
Frisquet B, Kibler B and Millot G 2013 Phys. Rev. X 3 041032
|
[55] |
Liu C, Ren Y, Yang Z Y and Yang W L 2017 Chaos 27 083120
|
[56] |
Liu C, Wang L, Yang Z Y and Yang W L 2017 arXiv:1708.03781
|
[57] |
Zhang J H, Wang L and Liu C 2017 Proc. R. Soc. A 473 20160681)
|
[58] |
Zhong W P, Belić M R and Petrović M S 2014 Nonlinear Dynamics 76 717
|
[59] |
Kibler B, Fatome J, Finot C, Millot G, Dias F, Genty G and Dudley J M 2010 Nat. Phys. 6 790
|
[60] |
Zhang Y, Belić M R, Zheng H, Chen H, Li C, Song J and Zhang P Y 2014 Phys. Rev. E 89 032902
|
[61] |
Wang L, Li M, Qi F H and Xu T 2015 Physics of Plasmas 22 032308
|
[62] |
Zhang Y, Wen J, Zhu S N and Xiao M 2010 Phys. Rev. Lett. 104 183901
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|