Periodic solitons in dispersion decreasingfibers with a cosine profile

doi:10.1088/1674-1056/23/10/100502

›› 2014, Vol. 23 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/23/10/100502

Periodic solitons in dispersion decreasingfibers with a cosine profile

贾仁需^a, 闫宏丽^a, 刘文军^b, 雷鸣^b

a School of Microelectronics, Key Laboratory of Wide Band-Gap Semiconductor Materials and Devices, Xidian University, Xi'an 710071, China;
b School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2014-02-14 修回日期:2014-04-08 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61205064, 51272202, and 61234006) and the Visiting Scholar Funds of the Key Laboratory of Optoelectronic Technology and Systems of Chongqing University (Grant No. 0902011812401_5).

Periodic solitons in dispersion decreasingfibers with a cosine profile

Jia Ren-Xu (贾仁需)^a, Yan Hong-Li (闫宏丽)^a, Liu Wen-Jun (刘文军)^b, Lei Ming (雷鸣)^b

a School of Microelectronics, Key Laboratory of Wide Band-Gap Semiconductor Materials and Devices, Xidian University, Xi'an 710071, China;
b School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2014-02-14 Revised:2014-04-08 Online:2014-10-15 Published:2014-10-15
Contact: Jia Ren-Xu,Liu Wen-Jun E-mail:rxjia@mail.xidian.edu.cn;jungliu@bupt.edu.cn
About author:05.45.Yv; 42.65.Tg
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61205064, 51272202, and 61234006) and the Visiting Scholar Funds of the Key Laboratory of Optoelectronic Technology and Systems of Chongqing University (Grant No. 0902011812401_5).

摘要/Abstract

摘要： Periodic solitons are studied in dispersion decreasing fibers with a cosine profile. The variable-coefficient nonlinear Schrödinger equation, which can be used to describe the propagation of solitons, is investigated analytically. Analytic soliton solutions for this equation are derived with the Hirota's bilinear method. Using the soliton solutions, we obtain periodic solitons, and analyze the soliton characteristics. Influences of physical parameters on periodic solitons are discussed. The presented results can be used in optical communication systems and fiber lasers.

关键词: solitons, dispersion decreasing fibers, analytic soliton solutions, Hirota’, s bilinear method

Abstract: Periodic solitons are studied in dispersion decreasing fibers with a cosine profile. The variable-coefficient nonlinear Schrödinger equation, which can be used to describe the propagation of solitons, is investigated analytically. Analytic soliton solutions for this equation are derived with the Hirota's bilinear method. Using the soliton solutions, we obtain periodic solitons, and analyze the soliton characteristics. Influences of physical parameters on periodic solitons are discussed. The presented results can be used in optical communication systems and fiber lasers.

Key words: solitons, dispersion decreasing fibers, analytic soliton solutions, Hirota’s bilinear method

中图分类号: (Solitons)

05.45.Yv

42.65.Tg (Optical solitons; nonlinear guided waves)

贾仁需, 闫宏丽, 刘文军, 雷鸣. Periodic solitons in dispersion decreasingfibers with a cosine profile[J]. , 2014, 23(10): 100502-100502.

Jia Ren-Xu (贾仁需), Yan Hong-Li (闫宏丽), Liu Wen-Jun (刘文军), Lei Ming (雷鸣). Periodic solitons in dispersion decreasingfibers with a cosine profile[J]. Chin. Phys. B, 2014, 23(10): 100502-100502.

参考文献 0


[1]	Agrawal G P 2007 Nonlinear Fiber Optics, 4th edn. (San Diego: Academic Press)

[2]	Mostofi A, HatamiHanza H and Chu P L 1997 IEEE J. Quantum Electron. 33 620 doi: 10.1109/3.563391

[3]	Pelusi M D and Liu H F 1997 IEEE J. Quantum Electron. 33 1430 doi: 10.1109/3.605567

[4]	Qian L, Kutz J N and Wai P K A 2013 Opt. Commun. 301-302 29

[5]	Cao W H, Xu P and Liu S H 2011 Acta Opt. Sin. 31 0419001 doi: 10.3788/AOS201131.0419001

[6]	Liang M T and Cao W H 2009 Opt. Commun. Technol. 33 52

[7]	Travers J C, Stone J M, Rulkov A B, Cumberland B A, George A K, Popov S V, Knight J C and Taylor J R 2007 Opt. Express 15 13203 doi: 10.1364/OE.15.013203

[8]	Tse M L V, Horak P, Price J H V, Poletti F, He F and Richardson D J 2006 Opt. Lett. 31 3504 doi: 10.1364/OL.31.003504

[9]	Ozeki Y and Inoue T 2006 Opt. Lett. 31 1606 doi: 10.1364/OL.31.001606

[10]	Tang B, Li D J, Hu K and Tang Y 2013 Int. J. Mod. Phys. B 27 1350139 doi: 10.1142/S0217979213501397

[11]	Tang B, Li D J and Tang Y 2013 Can. J. Phys. 91 788 doi: 10.1139/cjp-2013-0044

[12]	Dai C Q and Zhu H P 2013 J. Opt. Soc. Am. B 30 3291 doi: 10.1364/JOSAB.30.003291

[13]	Xu W C, Guo Q and Liu S H 1997 Chin. Phys. Lett.14 298

[14]	Xu W C, Zhang S M, Luo A P, Chen W C, Liao C J, Liu S H, Wu J, Lou C Y and Gao Y Z 2001 Chin. Phys. Lett. 18 1360 doi: 10.1088/0256-307X/18/10/319

[15]	Zhang Y L and Zhang A L 2011 Acta Phys. Sin. 60 114211 (in Chinese)

[16]	Liu J H, Ding Y K, Li T, Hu Z Y and Li S C 2004 Acta Phys. Sin. 53 1373 (in Chinese)

[17]	Xu W C, Jin W, Xu Y Z, Cui H and Liu S H 2004 Chin. Phys. Lett. 21 1089 doi: 10.1088/0256-307X/21/6/031

[18]	Cui H, Xu W C and Liu S H 2004 Chin. Phys. Lett. 21 2212 doi: 10.1088/0256-307X/21/11/038

[19]	Chen Y Z, Li Y Z, Gu G and Xu W C 2006 Chin. Phys. Lett. 23 2993 doi: 10.1088/0256-307X/23/11/030

[20]	Dai C Q and Chen J L 2012 Chin. Phys. B 21 080507

[21]	Ma W W, Li S G, Yin G B, Fu B and Zhang L 2010 Chin. Phys. B 19 104208

[22]	Nithyanandan K, Raja R V J and Porsezian K 2013 J. Opt. Soc. Am. B 30 178 doi: 10.1364/JOSAB.30.000178

[23]	Hu T P and Sun X H 2013 Chin. Opt. Lett. 11 070602 doi: 10.3788/COL201311.070602

[24]	Korobko D A, Okhotnikov O G and Zolotovskii I O 2013 J. Opt. Soc. Am. B 30 2377 doi: 10.1364/JOSAB.30.002377

[25]	Finot C, Barviau B, Millot G, Guryanov A, Sysoliatin A and Wabnitz S 2007 Opt. Express 15 15824 doi: 10.1364/OE.15.015824

[26]	Hirooka T and Nakazawa M 2004 Opt. Lett. 29 498 doi: 10.1364/OL.29.000498

[27]	Jiang G Y, Fu Y J, Huang Y and Chen H T 2013 Optik 124 5328 doi: 10.1016/j.ijleo.2013.03.105

[28]	Liu W J, Tian B, Zhang H Q, Xu T and Li H 2009 Phys. Rev. A 79 063810 doi: 10.1103/PhysRevA.79.063810

[29]	Liu W J, Tian B, Zhang H Q, Li L L and Xue Y S 2008 Phys. Rev. E 77 066605 doi: 10.1103/PhysRevE.77.066605

[30]	Liu W J, Tian B and Zhang H Q 2008 Phys. Rev. E 78 066613 doi: 10.1103/PhysRevE.78.066613

[31]	Liu W J, Tian B, Xu T, Sun K and Jiang Y 2010 Ann. Phys. 325 1633 doi: 10.1016/j.aop.2010.02.012

[32]	Hirota R 1971 Phys. Rev. Lett. 27 1192 doi: 10.1103/PhysRevLett.27.1192

Periodic solitons in dispersion decreasingfibers with a cosine profile

Periodic solitons in dispersion decreasingfibers with a cosine profile

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