Incoherent interaction between one- and two-dimensional solitons in noncentrosymmetric photorefractive media

doi:10.1088/1674-1056/19/4/044208

Abstract The incoherent interaction between solitons with different transverse dimensions in a noncentrosymmetric photorefractive crystal is studied both in theory and in experiment. An anomalous incoherent interaction between one- and two-dimensional solitons, whose attractive and repulsive effects depend on the soliton separation, is numerically demonstrated by employing an anisotropic model. By launching a one-dimensional green beam and a two-dimensional red beam into a biased SBN:60 crystal, the hybrid-dimensional soliton interaction is performed. The experimental results are in good agreement with the numerical ones.

Keywords: soliton interaction optical spatial soliton photorefractive effect

Received: 22 June 2009
Revised: 13 August 2009
Accepted manuscript online:

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.70.Nq	(Other nonlinear optical materials; photorefractive and semiconductor materials)
	42.65.Hw	(Phase conjugation; photorefractive and Kerr effects)
	42.65.Sf	(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)

Fund: Project supported by the Doctoral Science Foundation of Northwestern Polytechnical University (NPU), China (Grant No.~CX200514) and the NPU Foundation for Fundamental Research, China

Cite this article:

Xiao Fa-Jun(肖发俊), Zhang Peng(张鹏), Liu Sheng(刘圣), Gan Xue-Tao(甘雪涛), and Zhao Jian-Lin(赵建林) Incoherent interaction between one- and two-dimensional solitons in noncentrosymmetric photorefractive media 2010 Chin. Phys. B 19 044208

[1]	Lonngren K E 1983 Plasma Phys. 25 943
[2]	Polturak E, deVegvar P G N, Zeise E K and Lee D M 1981 Phys. Rev. Lett. 46 1588
[3]	Aitchison J S, Weiner A M, Silberberg Y, Oliver M K, Jackel J L, Leaird D E, Vogel E M and Smith P W E 1990 Opt. Lett. 15] 471
[4]	Valley G C, Segev M, Crosignani B, Yariv A, Fejer M M and Bashaw M C 1994 Phys. Rev. A 50 R4457
[5]	She W L, Lee K K and Lee W K 1999 Phys. Rev. Lett. 83] 3182
[6]	Liu J S and Lu K Q 1999 J. Opt. Soc. Am. B 16 550
[7]	Zhang P, Zhao J L, Lou C B, Tan X Y, Gao Y H, Liu Q, Yang D X, Xu J J and Chen Z 2007 Opt. Express 15 536
[8]	Swartzlander G A, Andersen D R, Regan J J, Yin H and Kaplan A E 1991 Phys. Rev. Lett. 66 1583
[9]	Chen Z, Mitchell M, Shih M, Segev M, Garrett M H and Valley G C 1996 Opt. Lett. 21 629
[10]	Swartzlander G A and Law C T 1992 Phys. Rev. Lett. 69] 2503
[11]	Chen Z, Segev M, Wilson D W, Muller RE and MakerPD 1997 Phys. Rev. Lett. 78 2948
[12]	Kivshar Y S and Ostrovskaya E A 2001 Opt. Photon. News 12 24
[13]	Kang J U, Stegeman G I, Aitchison J S and Akhmediev N 1996 Phys. Rev. Lett. 76 3699
[14]	Chen Z, Segev M, Coskun T H, Christodoulides D N, Kivshar Y S and Afanasjev V V 1996 Opt. Lett. 21 1821
[15]	Mitchell M, Segev M and Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[16]	Ibragimov E 1998 J. Opt. Soc. Am. B 15 97
[17]	Meng H, Salamo G, Shih M and Segev M 1997 Opt. Lett. 22 }448
[18]	Shih M and Segev M 1996 Opt. Lett. 21 1538
[19]	Królikowski W, Saffman M, Luther-Davies B and Denz C 1998 Phys. Rev. Lett. 80 3240
[20]	He Y J and Wang H Z 2006 Opt. Express 14 9832
[21]	Cleff C, Gütlich B and Denz C 2008 Phys. Rev. Lett. 100 233902
[22]	Kartashov Y V, Vysloukh V A and Torner L 2007 Opt. Express 15 12409
[23]	Xiao F J, Zhang P, Liu S and Zhao J L 2008 Acta Phys. Sin. 57 2529 (in Chinese)
[24]	DelRe E, Trillo S and Agranat A J 2000 Opt. Lett. 25 560
[25]	Zozulya A A and Anderson D Z 1995 Phys. Rev. A 51 1520
[26]	Petviashvili V I 1976 Sov. J. Plasma. Phys. 2 257

[1]	Quantitative analysis of soliton interactions based on the exact solutions of the nonlinear Schrödinger equation Xuefeng Zhang(张雪峰), Tao Xu(许韬), Min Li(李敏), and Yue Meng(孟悦). Chin. Phys. B, 2023, 32(1): 010505.
[2]	Interaction properties of solitons for a couple of nonlinear evolution equations Syed Tahir Raza Rizvi, Ishrat Bibi, Muhammad Younis, and Ahmet Bekir. Chin. Phys. B, 2021, 30(1): 010502.
[3]	Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation Li-Jun Song(宋丽军), Xiao-Ya Xu(徐晓雅), Yan Wang(王艳). Chin. Phys. B, 2020, 29(6): 064211.
[4]	Asymmetric dynamic phase holographic grating in nematic liquid crystal Chang-Yu Ren(任常愚), Hong-Xin Shi(石宏新), Yan-Bao Ai(艾延宝), Xiang-Bao Yin(尹向宝), Feng Wang(王丰), Hong-Wei Ding(丁红伟). Chin. Phys. B, 2016, 25(9): 094218.
[5]	Ultrashort optical solitons in the dispersion-decreasing fibers Dai Chao-Qing (戴朝卿), Chen Jun-Lang (陈均朗 ). Chin. Phys. B, 2012, 21(8): 080507.
[6]	Study on UV-light-induced absorption in LiNbO₃:Fe, Co crystal Chen Hong-Jian(陈洪建), Shi Li-Hong(师丽红), Yan Wen-Bo(阎文博), Chen Gui-Feng(陈贵锋), Shen Jun(沈俊), Shen Xu-Nan(申绪男), and Li Yang-Xian(李养贤). Chin. Phys. B, 2010, 19(8): 084203.
[7]	The interaction of in-band and in-gap lattice soliton trains in optically induced two-dimensional photonic lattices Liu Sheng(刘圣), Zhang Peng(张鹏), Xiao Fa-Jun(肖发俊), Gan Xue-Tao(甘雪涛), and Zhao Jian-Lin(赵建林). Chin. Phys. B, 2010, 19(6): 065203.
[8]	Separate holographic screening soliton pairs in a biased series photorefractive crystal circuit Cai Xin(蔡欣), Liu Jin-Song(刘劲松), and Lü Jian-Tao(吕健滔). Chin. Phys. B, 2010, 19(5): 054213.
[9]	Temporal behaviour of open-circuit photovoltaic solitons Zhang Mei-Zhi(张美志), Lu Ke-Qing(卢克清), Cheng Guang-Hua(程光华), Li Ke-Hao(李可昊), Zhang Yi-Qi(张贻齐), Zhang Yu-Hong(张玉虹), and Zhang Yan-Peng(张彦鹏). Chin. Phys. B, 2009, 18(7): 2839-2845.
[10]	The two photorefractive centres in iron doped nearly stoichiometric lithium niobate crystals Li Xiao-Chun(李晓春), Kong Yong-Fa(孔勇发), Wang Li-Zhong(王利忠) and Liu Hong-De(刘宏德) . Chin. Phys. B, 2008, 17(3): 1014-1019.
[11]	Grey screening-photovoltaic soliton-induced waveguides Lu Ke-Qing(卢克清), Yang Yan-Long(杨延龙), Zhao Wei(赵卫), Zhang Mei-Zhi(张美志), Yang Yang(杨阳), Zhang Lei(张磊), Liu Xue-Ming(刘雪明), and Zhang Yan-Peng(张彦鹏). Chin. Phys. B, 2007, 16(11): 3423-3428.
[12]	Grey spatial solitons due to two-photon photorefractive effect Zhang Yu(张宇), Hou Chun-Feng(侯春风), and Sun Xiu-Dong(孙秀冬). Chin. Phys. B, 2007, 16(1): 159-164.
[13]	Waveguides induced by grey screening solitons Lu Ke-Qing (卢克清), Zhao Wei (赵卫), Yang Yan-Long (杨延龙), Zhang Mei-Zhi (张美志), Li Jin-Ping (李金萍), Liu Hong-Jun (刘红军), Zhang Yan-Peng (张彦鹏). Chin. Phys. B, 2006, 15(2): 403-406.
[14]	Effects of temperature on the stability of separatescreening bright--dark spatial soliton pair Zhang Guang-Yong(张光勇) and Liu Jin-Song(刘劲松). Chin. Phys. B, 2006, 15(11): 2631-2637.
[15]	Bright—dark incoherently coupled photovoltaic soliton pair Hou Chun-Feng (侯春风), Pei Yan-Bo (裴延波), Zhou Zhong-Xiang (周忠祥), Sun Xiu-Dong (孙秀冬). Chin. Phys. B, 2005, 14(2): 349-352.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Incoherent interaction between one- and two-dimensional solitons in noncentrosymmetric photorefractive media

Cite this article:

Online attention