Incoherently coupled soliton pairs in  nonlocal nonlinear media

doi:10.1088/1674-1056/19/2/024211

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 24211-024211.doi: 10.1088/1674-1056/19/2/024211

Incoherently coupled soliton pairs in nonlocal nonlinear media

张彦鹏¹, 卢克清², 赵卫², 张贻齐², 张美志², 张玉虹², 程光华², 李可昊³

(1)Department of Electronic Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China; (2)State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China; (3)State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China;Graduate School of the Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2008-08-28 修回日期:2009-02-13 出版日期:2010-02-15 发布日期:2010-02-15

Incoherently coupled soliton pairs in nonlocal nonlinear media

Lu Ke-Qing(卢克清)^a)^†, Li Ke-Hao(李可昊)^a)c), Zhao Wei(赵卫)^a), Zhang Yi-Qi(张贻齐)^a), Zhang Mei-Zhi(张美志)^a),Zhang Yu-Hong(张玉虹)^a), Cheng Guang-Hua(程光华)^a), and Zhang Yan-Peng(张彦鹏)^b)

^a State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China; ^b Department of Electronic Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China; ^c Graduate School of the Chinese Academy of Sciences, Beijing 100049, China

Received:2008-08-28 Revised:2009-02-13 Online:2010-02-15 Published:2010-02-15

摘要/Abstract

摘要： We show that incoherently coupled soliton pairs can exist in nonlocal Kerr-type nonlinear media. Such solitons can propagate in bright--bright, dark--dark, and gray--gray configurations. When the nonlocal nonlinearity is absent, these bright--bright and dark--dark soliton pairs are those observed previously in local Kerr-type nonlinear media. Our analysis indicates that for a self-focusing nonlinearity the intensity full width half maximum (FWHM) of the bright--bright pair components increases with the degree of nonlocality of the nonlinear response, whereas for a self-defocusing nonlinearity the intensity FWHM of the dark--dark and gray--gray pair components decreases with the increase in the degree of nonlocality of the nonlinear response. The stability of these soliton pairs has been investigated numerically and it has been found that they are stable.

Abstract: We show that incoherently coupled soliton pairs can exist in nonlocal Kerr-type nonlinear media. Such solitons can propagate in bright--bright, dark--dark, and gray--gray configurations. When the nonlocal nonlinearity is absent, these bright--bright and dark--dark soliton pairs are those observed previously in local Kerr-type nonlinear media. Our analysis indicates that for a self-focusing nonlinearity the intensity full width half maximum (FWHM) of the bright--bright pair components increases with the degree of nonlocality of the nonlinear response, whereas for a self-defocusing nonlinearity the intensity FWHM of the dark--dark and gray--gray pair components decreases with the increase in the degree of nonlocality of the nonlinear response. The stability of these soliton pairs has been investigated numerically and it has been found that they are stable.

Key words: soliton pair, Kerr effect, nonlinear optics

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Hw (Phase conjugation; photorefractive and Kerr effects)

卢克清, 李可昊, 赵卫, 张贻齐, 张美志, 张玉虹, 程光华, 张彦鹏. Incoherently coupled soliton pairs in nonlocal nonlinear media[J]. 中国物理B, 2010, 19(2): 24211-024211.

Lu Ke-Qing(卢克清), Li Ke-Hao(李可昊), Zhao Wei(赵卫), Zhang Yi-Qi(张贻齐), Zhang Mei-Zhi(张美志),Zhang Yu-Hong(张玉虹), Cheng Guang-Hua(程光华), and Zhang Yan-Peng(张彦鹏) . Incoherently coupled soliton pairs in nonlocal nonlinear media[J]. Chin. Phys. B, 2010, 19(2): 24211-024211.

参考文献 27

[1]	Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev.Lett. 95 213904
[2]	Conti C, Peccianti M and Assanto G 2003 Phys. Rev. Lett. 91 073901
[3]	Litvak A G, Mironov V A, Fraiman G M and Yunakovskii A D1975 Sov. J. Plasma Phys. 1 31
[4]	Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z andSaffman M Phys. Rev. A 56 R1110
[5]	Hou C F, Du C G, Abdurusul and Li S Q 2001 Chin. Phys. Lett. 18 1607
[6]	She W L, Zheng X G, Ni X H and Guo H 2001 Chin. Phys. Lett. 18 1346
[7]	Guo R, Ling Z F, Chen X H, Zhang G Q, Zhang X Z, Wen H D, Jiang Yand Liu S M 2000 Chin. Phys. Lett. 17 804
[8]	Wang X S, Ouyang S G and She W L 2002 Acta Phys. Sin. 52377 (in Chinese)
	[She W L 2005 Chin. Phys. 142514
[9]	Hou C F, Yao F F, Zhou Z X, Pei Y B and Sun X D 2004 Chin. Phys. 1 3 1738
[10]	Lu K Q, Zhao W, Yang Y L, Zhu X P, Li J P and Zhang Y P 2004 Chin. Phys. 1 32077
[10a]	Lu K Q, Zhao W, Yang Y L, Zhang M Z, Li J P and Liu H J 2006 Chin. Phys. 15 403
[11]	Lu K Q, Yang Y L, Zhao W, Zhang M Z, Yang Y, Zhang L, Liu X M andZhang Y P 2007 Chin. Phys. 16 3423
[11a]	Zhang L, Lu K Q, Zhang MZ, Liu X M and Zhang Y P 2008 Chin. Phys. B 17 1674
[12]	Zhang Y Q, Lu K Q, Zhang L, Zhang M Z and Li K H 2008 Acta Phys. Sin. 57 6354 (in Chinese)
[13]	Lu K Q and Tang T T 1999 Acta Phys. Sin. 48 117 (in Chinese)
[14]	Santos L, Shlyapnikov G V, Zoller P and Lewenstein M 2000 Phys. Rev. Lett. 85 1791
[15]	Kr'olikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, J J Rasmussen and Edmundson D 2004 J. Opt. B: Quant. SemiclassicalOpt. 6 S288
[16]	Lopez-Aguayo S, Desyatnikov A S and Kivshar Yu S 2006 Opt.Express 147903
[17]	Bang O, Krolikowski W, Wyller J and Rasmussen J J 2002 Phys. Rev. E 66 046619
[18]	Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev. Lett. 95 213904
[19]	Xu Z, Kartashov Y V and Torner L 2006 Phys. Rev. E 7 3 055601
[20]	Kartashov Y V and Torner L 2007 Opt. Lett. 32 946
[21]	Lin Y Y and Lee R K 2007 Opt. Express 15 8781
[22]	Krolikowski W, Bang O, Rasmussen J J and Wyller J 2001 Phys. Rev. E 64 016612
[23]	Christodoulides D N, Singh S R, Carvalho M I and Segev M 1996 Appl. Phys. Lett. 68 1763
[24]	Krolikowski W and Bang O 2000 Phys. Rev. E 6 3 016610
[25]	Grandpierre A G, Christodoulides D N, Coskun T H, Segev M and Kivshar Y S 2001 J. Opt. Soc. Am. B 1855
[26]	Christodoulides D N and Joseph R I 1988 Opt. Lett. 1 3 53
[27]	Kivshar Y S and Turitsyn S K 1993 Opt. Lett. 18 337

Incoherently coupled soliton pairs in nonlocal nonlinear media

Incoherently coupled soliton pairs in nonlocal nonlinear media

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 27

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Shubin Wang(王树斌), Xin Zhang(张鑫), Guoli Ma(马国利), and Daiyin Zhu(朱岱寅). All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems[J]. 中国物理B, 2023, 32(3): 30506-030506.
[2]	Wei Qi(漆伟), Xiao-Gang Guo(郭晓刚), Liang-Wei Dong(董亮伟), and Xiao-Fei Zhang(张晓斐). Modulational instability of a resonantly polariton condensate in discrete lattices[J]. 中国物理B, 2023, 32(3): 30502-030502.
[3]	Lei Chen(陈磊), Pan Li(李磐), He-Shan Liu(刘河山), Jin Yu(余锦), Chang-Jun Ke(柯常军), and Zi-Ren Luo(罗子人). Coupled-generalized nonlinear Schrödinger equations solved by adaptive step-size methods in interaction picture[J]. 中国物理B, 2023, 32(2): 24213-024213.
[4]	Xuefeng Zhang(张雪峰), Tao Xu(许韬), Min Li(李敏), and Yue Meng(孟悦). Quantitative analysis of soliton interactions based on the exact solutions of the nonlinear Schrödinger equation[J]. 中国物理B, 2023, 32(1): 10505-010505.
[5]	Shu-Wen Guan(关淑文), Ling-Zheng Meng(孟令正), and Li-Chen Zhao(赵立臣). Oscillation properties of matter-wave bright solitons in harmonic potentials[J]. 中国物理B, 2022, 31(8): 80506-080506.
[6]	Ying Han(韩颖), Bo Gao(高博), Jiayu Huo(霍佳雨), Chunyang Ma(马春阳), Ge Wu(吴戈),Yingying Li(李莹莹), Bingkun Chen(陈炳焜), Yubin Guo(郭玉彬), and Lie Liu(刘列). Spatio-spectral dynamics of soliton pulsation with breathing behavior in the anomalous dispersion fiber laser[J]. 中国物理B, 2022, 31(7): 74208-074208.
[7]	Pei Zhang(张沛), Kaharudin Dimyati, Bilal Nizamani, Mustafa M. Najm, and S. W. Harun. Sequential generation of self-starting diverse operations in all-fiber laser based on thulium-doped fiber saturable absorber[J]. 中国物理B, 2022, 31(6): 64204-064204.
[8]	Tian-Yi Wang(王天一), Qin Zhou(周勤), and Wen-Jun Liu(刘文军). Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers[J]. 中国物理B, 2022, 31(2): 20501-020501.
[9]	Jian-Li Guo(郭建丽), Zhen-Jun Yang(杨振军), Xing-Liang Li(李星亮), and Shu-Min Zhang(张书敏). Propagation dynamics of dipole breathing wave in lossy nonlocal nonlinear media[J]. 中国物理B, 2022, 31(1): 14203-014203.
[10]	Changming Huang(黄长明), Hanying Deng(邓寒英), Liangwei Dong(董亮伟), Ce Shang(尚策), Bo Zhao(赵波), Qiangbo Suo(索强波), and Xiaofang Zhou(周小芳). Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity[J]. 中国物理B, 2021, 30(12): 124204-124204.
[11]	Wen-Yan Zhang(张文艳), Kun Yang(杨坤), Li-Jie Geng(耿利杰), Nan-Nan Liu(刘楠楠), Yun-Qi Hao(郝蕴琦), Tian-Hao Xian(贤天浩), and Li Zhan(詹黎). Generation of domain-wall solitons in an anomalous dispersion fiber ring laser[J]. 中国物理B, 2021, 30(11): 114212-114212.
[12]	Manna Chen(陈曼娜), Hongcheng Wang(王红成), Hai Ye(叶海), Xiaoyuan Huang(黄晓园), Ye Liu(刘晔), Sumei Hu(胡素梅), and Wei Hu(胡巍). Collapse arrest in the space-fractional Schrödinger equation with an optical lattice[J]. 中国物理B, 2021, 30(10): 104206-104206.
[13]	. [J]. 中国物理B, 2021, 30(2): 24210-0.
[14]	Ze-Xian Zhang(张泽贤), Xiao-Yang Zhao(赵晓阳), Ye Li(李烨), Hu Cui(崔虎), Zhi-Chao Luo(罗智超), Wen-Cheng Xu(徐文成), Ai-Ping Luo(罗爱平). [J]. 中国物理B, 2020, 29(10): 104208-.
[15]	王丽丽, 刘文军. Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system[J]. 中国物理B, 2020, 29(7): 70502-070502.