One-dimensional nonparaxial bright solitons and their coherent interactions in Kerr media

doi:10.1088/1674-1056/19/8/084207

Abstract The existence of one-dimensional bright Kerr solitons is investigated in Kerr media beyond the paraxial approximation. It is found that a nonparaxial soliton with no less than a minimum dimensionless width of about 0.76 can exist, which corresponds to the real width about a wavelength. Besides, the coherent interactions between two nonparaxial bright solitons in Kerr media are also investigated in detail. It is found that their separation and intensity ratio have great influence on the coherent interaction between these two solitons. Furthermore, the effect of the relative phase difference on the nonparaxial interaction is quite different from that on the paraxial interaction. Periodical breath, merging, repulsion, and energy transferring can be realized separately by choosing an appropriate initial relative phase between the coherent solitons.

Keywords: spatial soliton nonparaxial soliton coherent interaction

Received: 10 March 2010
Revised: 31 March 2010
Accepted manuscript online:

PACS:	42.65.Hw	(Phase conjugation; photorefractive and Kerr effects)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: Project supported by the Dongguan Science and Technology Program, Guangdong Province, China (Grant No. 200910814038).

Cite this article:

Wang Hong-Cheng(王红成), Zhu De-Hai(朱德海), and Ling Dong-Xiong(凌东雄) One-dimensional nonparaxial bright solitons and their coherent interactions in Kerr media 2010 Chin. Phys. B 19 084207

[1]	Kivshar Y S and Luther-Davies B 1998 Phys. Rep. 298 81
[2]	Kivshar Yu S and Agrawal G P 2003 Optical Solitons: From Fibre to Photonic Crystals (San Diego: Academic Press)
[3]	Lu K Q, Li K H, Zhao W, Zhang Y Q, Zhang M Z, Zhang Y H, Cheng G H and Zhang Y P 2010 Chin. Phys. B 19 024211
[4]	Zhang B Z, Cui H and She W L 2009 Chin. Phys. B 18 209
[5]	Marcuse D 1972 Light Transmission Optics (New York: Van Nostrand)
[6]	Karlsson M, Anderson D, Desaix M and Lisak M 1991 Opt. Lett. 16 1373
[7]	Lax M, Louisell W H and McKnight W B 1975 Phys. Rev. A 11 1365
[8]	Feit M D and Fleck J A Jr 1988 J. Opt. Soc. Am. B 5 633
[9]	Ciattoni A, Crosignani B and Porto P Di 2000 Opt. Commun. 177 9
[10]	Blair S 2000 Chaos 10 570
[11]	Feng M, Wei Q, Shi J L and Xue Y 2004 Acta Phys. Sin. 53 1088 (in Chinese)
[12]	de la Fuente R, Varela R and Michinel H 2000 Opt. Commun. 173 403
[13]	Ciattoni A, Porto P D, Crosignani B and Yariv A 2000 J. Opt. Soc. Am. B 17 809
[14]	Crosignani B, Yariv A and Mookherjea S 2004 Opt. Lett. 29 1254
[15]	Ciattoni A, Crosignani B, Mookherjea S and Yariv A 2005 Opt. Lett. 30 516
[16]	Ciattoni A, Crosignani B, Porto P Di and Yariv A 2005 Phys. Rev. Lett. 94 073902
[17]	Wang H and She W 2005 Opt. Express 13 6931
[18]	Wang H and She W 2006 Opt. Express 14 1590
[19]	Peng J Z, Yang H and Tang Y 2009 Chin. Phys. B 18 2364
[20]	Zakery A and Keshavarz A 2004 J. Phys. D: em Appl. Phys. 37 3409
[21]	Baek Y, Schiek R, Stegeman G I, Baumann I and Sohler W 1997 Opt. Lett. 22 1550

[1]	Coherent interaction and action-counteraction theory in small polaron systems, and ground state properties Zhi-Hua Luo(罗质华) and Chao-Fan Yu(余超凡). Chin. Phys. B, 2022, 31(11): 117104.
[2]	High quality electromagnetically induced transparency spectroscopy of ⁸⁷Rb in a buffer gas cell with a magnetic field Hong Cheng(成红), Han-Mu Wang(王汉睦), Shan-Shan Zhang(张珊珊), Pei-Pei Xin(辛培培), Jun Luo(罗军), Hong-Ping Liu(刘红平). Chin. Phys. B, 2017, 26(7): 074204.
[3]	Large phase shift of spatial soliton in lead glass by cross-phase modulation in pump-signal geometry Shou Qian (寿倩), Liu Dong-Wen (刘东文), Zhang Xiang (张翔), Hu Wei (胡巍), Guo Qi (郭旗). Chin. Phys. B, 2014, 23(8): 084204.
[4]	Gap solitons in parity–time complex superlattice with dual periods Wang Hong-Cheng (王红成), Ling Dong-Xiong (凌东雄), Zhang Shao-Qiang (张绍强), Zhu Xing (朱兴), He Ying-Ji (何影记). Chin. Phys. B, 2014, 23(6): 064208.
[5]	Incoherent interaction between one- and two-dimensional solitons in noncentrosymmetric photorefractive media 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). Chin. Phys. B, 2010, 19(4): 044208.
[6]	Dark incoherent spatial solitons in logarithmically saturable nonlinear media Zhang Yi-Qi(张贻齐), Lu Ke-Qing(卢克清), Zhang Mei-Zhi(张美志), Li Ke-Hao(李可昊), Liu Shuang(刘爽), and Zhang Yan-Peng(张彦鹏). Chin. Phys. B, 2009, 18(6): 2359-2363.
[7]	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.
[8]	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.
[9]	Modulation instability of quasi-plane-wave optical beams in biased photorefractive-photovoltaic crystals Lu Ke-Qing (卢克清), Zhao Wei (赵卫), Yang Yan-Long (杨延龙), Zhu Xiang-Ping (朱香平), Li Jin-Ping (李金萍), Zhang Yan-Peng (张颜鹏). Chin. Phys. B, 2004, 13(12): 2077-2081.
[10]	Grey－grey incoherently coupled spatial soliton pairs in guest－host photorefractive polymers Hou Chun-Feng (侯春风), Yao Feng-Feng (姚凤凤), Zhou Zhong-Xiang (周忠祥), Pei Yan-Bo (裴延波), Sun Xiu-Dong (孙秀冬). Chin. Phys. B, 2004, 13(10): 1738-1741.
[11]	INCOHERENTLY COUPLED SCREENING--PHOTOVOLTAIC SOLITON FAMILIES IN BIASED PHOTOVOLTAIC PHOTOREFRACTIVE CRYSTALS Hou Chun-feng (侯春风), Li Bin (李斌), Sun Xiu-dong (孙秀冬), Jiang Yong-yuan (姜永远), Xu Ke-bin (许克彬). Chin. Phys. B, 2001, 10(4): 310-313.
[12]	STABILITY OF BRIGHT SCREENING-PHOTOVOLTAIC SPATIAL SOLITONS Liu Jing-song (刘劲松), Zhang Du-ying (张都应), Liang Chang-hong (梁昌洪). Chin. Phys. B, 2000, 9(9): 667-671.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

One-dimensional nonparaxial bright solitons and their coherent interactions in Kerr media

Cite this article:

Online attention