Generation of breathing solitons in the propagation and interactions of Airy-Gaussian beams in a cubic-quintic nonlinear medium

doi:10.1088/1674-1056/27/11/114216

Abstract

Using the split-step Fourier transform method, we numerically investigate the generation of breathing solitons in the propagation and interactions of Airy-Gaussian (AiG) beams in a cubic-quintic nonlinear medium in one transverse dimension. We show that the propagation of single AiG beams can generate stable breathing solitons that do not accelerate within a certain initial power range. The propagation direction of these breathing solitons can be controlled by introducing a launch angle to the incident AiG beams. When two AiG beams accelerated in opposite directions interact with each other, different breathing solitons and soliton pairs are observed by adjusting the phase shift, the beam interval, the amplitudes, and the light field distribution of the initial AiG beams.

Keywords: cubic-quintic nonlinear medium Airy-Gaussian beams propagation and interactions breathing solitons

Received: 29 May 2018
Revised: 20 August 2018
Accepted manuscript online:

PACS:	42.65.-k	(Nonlinear optics)
	41.85.-p	(Beam optics)
	42.25.Bs	(Wave propagation, transmission and absorption)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 51602028), the Science and Technology Development Project of Jilin Province, China (Grant No. 20160520114JH), the Youth Science Fund of Changchun University of Science and Technology, China (Grant No. XQNJJ-2017-04), and the Natural Science Foundation of Tianjin City, China (Grant No. 13JCYBJC16400).

Corresponding Authors: Liankai Wang
E-mail: wangliankai1@sina.com

Cite this article:

Weijun Chen(陈卫军), Ying Ju(鞠莹), Chunyang Liu(刘春阳), Liankai Wang(王连锴), Keqing Lu(卢克清) Generation of breathing solitons in the propagation and interactions of Airy-Gaussian beams in a cubic-quintic nonlinear medium 2018 Chin. Phys. B 27 114216

[1]	Siviloglou G A and Christodoulides D N 2007 Opt. Lett. 32 979
[2]	Siviloglou G A, Broky J, Dogariu A and Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[3]	Baumgartl J, Mazilu M and Dholakia K 2008 Nat. Photonics 2 675
[4]	Abdollahpour D, Suntsov S, Papazoglou D G and Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[5]	Polynkin P, Kolesik M, Moloney J V, Siviloglou G A and Christodoulides D N 2009 Science 324 229
[6]	Rose P, Diebel F and Boguslawski M 2013 Appl. Phys. Lett. 102 101101
[7]	Wiersma N, Marsal N, Sciamanna M and Wolfersberger D 2014 Opt. Lett. 39 5997
[8]	Liang Y, Hu Y, Song D H, Lou C B, Zhang X Z, Chen Z G and Xu J J 2015 Opt. Lett. 40 5686
[9]	Li J X, Fan X B, Zang W P and Tian J G 2011 Opt. Lett. 36 648
[10]	Chremmos I D, Efremidis N K and Christodoulides D N 2011 Opt. Lett. 36 1890
[11]	Allayarov I M and Tsoy E N 2014 Phys. Rev. A 90 023852
[12]	Fattal Y, Rudnick A and Marom D M 2011 Opt. Express 19 17298
[13]	Diebel F, Bokić B M, Timotijević D V, Jović Savić D M and Denz C 2015 Opt. Express 23 24351
[14]	Hu Y, Sun Z, Bongiovanni D, Song D H, Lou C B, Xu J J, Chen Z G and Morandotti R 2012 Opt. Lett. 37 3201
[15]	Bouchet T, Marsal N, Sciamanna M and Wolfersberger D 2018 Phys. Rev. A 97 051801
[16]	Jia S, Lee J, Fleischer J W, Siviloglou G A and Christodoulides D N 2010 Phys. Rev. Lett. 104 253904
[17]	Shen M, Gao J S and Ge L J 2015 Sci. Rep. 5 9814
[18]	Efremidis N K, Paltoglou V and Klitzing W V 2013 Phys. Rev. A 87 043637
[19]	Minovich A, Klein A E, Janunts N, Pertsch T, Neshev D N and Kivshar Y S 2011 Phys. Rev. Lett. 107 116802
[20]	Dolev I, Kaminer I, Shapira A, Segev M and Arie A 2012 Phys. Rev. Lett. 108 113903
[21]	Zhang L F, Huang P W, Conti C, Wang Z T, Hu Y H, Lei D J, Li Y and Fan D Y 2017 Opt. Express 25 1856
[22]	Kaminer I, Nemirovsky J, Makris K G and Segev M 2013 Opt. Express 21 8886
[23]	Zhang Y Q, Belic M R, Wu Z K, Zheng H B, Lu K Q, Li Y Y and Zhang Y P 2013 Opt. Lett. 38 4585
[24]	Zhang Y Q, Belic M R, Zheng H B, Chen H X, Li C B, Li Y Y and Zhang Y P 2014 Opt. Express 22 7160
[25]	Zhang M Z, Huo G W, Zhong H and Hui Z Q 2017 Opt. Express 25 22104
[26]	Zhu K Z, Jia W G, Zhang K, Yu Y, Zhang J P and Ke N 2016 Acta Phys. Sin. 65 024208
[27]	Bandres M A and Gutiérrez-Vega J C 2007 Opt. Express 15 16719
[28]	Chen C D, Chen B, Peng X and Deng D M 2015 J. Opt. 17 035504
[29]	Deng D M 2011 Eur. Phys. J. D 65 553
[30]	Deng D and Li H 2012 Appl. Phys. B 106 677
[31]	Zhou M L, Chen C D, Chen B, Peng X, Peng Y L and Deng D M 2015 Chin. Phys. B 24 124102
[32]	Peng Y L, Peng X, Chen B, Zhou M L, Chen C D and Deng D M 2016 Opt. Commun. 359 116
[33]	Zhou M L, Peng Y L, Chen C D, Chen B, Peng X and Deng D M 2016 Chin. Phys. B 25 084102
[34]	Zhang X P 2016 Opt. Commun. 367 364
[35]	Shi Z W, Xue J, Zhu X and Li H G 2017 Phys. Rev. E 95 042209
[36]	Gao S, Mao Y W, Liu J H and Liu X Z 2018 Chin. Phys. B 27 014302
[37]	Chen W J, Lu K Q, Hui J L and Zhang B J 2016 Acta Phys. Sin. 65 244202
[38]	Afanasjev V V, Chu P L and Kivshar Y S 1997 Opt. Lett. 22 1388
[39]	Hayata K, Higaki H and Koshiba M 1995 Opt. Rev. 2 233
[40]	Siviloglou G A, Broky J, Dogariu A and Christodoulides D N 2008 Opt. Lett. 33 207
[41]	Zhang Y Q, Belić M R, Sun J, Zheng H B, Wu Z K, Chen H X and Zhang Y P 2015 Rom. Rep. Phys. 67 1099

[1]	Acoustic radiation force induced by two Airy-Gaussian beams on a cylindrical particle Sha Gao(高莎), Yiwei Mao(毛一葳), Jiehui Liu(刘杰惠), Xiaozhou Liu(刘晓宙). Chin. Phys. B, 2018, 27(1): 014302.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Generation of breathing solitons in the propagation and interactions of Airy-Gaussian beams in a cubic-quintic nonlinear medium

Cite this article:

Online attention