Control on interaction of Airy-Gaussian beams in competing nonlinear medium

Chen Wei-Jun; Song De; Li Ye; Wang Xin; Qin Xu-Lei; Liu Chun-Yang

doi:10.7498/aps.68.20190042

Abstract

An investigation of control on the interaction of Airy-Gaussian beams (AiGBs) in cubic focusing and quintic defocusing competing nonlinear medium is performed by the split-step Fourier transform method. When the initial launch angle v is zero, two in-phase AiGBs attract each other and the breathing soliton with decaying period or soliton with invariant intensity can form in the case of weaker quintic defocusing nonlinearity. However, the interaction between two in-phase AiGBs under stronger quintic defocusing causes the average width of the breathing soliton to increase and even the beam bifurcation to occur, leading to the generation of soliton pairs. For the out-of-phase case, they repel each other, and the repulsive force increases monotonically with the increase of the quintic defocusing nonlinearity. When the initial launch angle for each of AiGBs is not zero, mutual attraction and repulsion can be exhibited during their interactions by adjusting the sign of v and the interval d. For the in-phase case, if v < 0 and d < 0 or v > 0 and d > 0, there are strong repulsive force and weak attraction between the two AiGBs, resulting in the formation of soliton pairs, and with the decrease of the interval, the attraction becomes greater. When the interval is small enough, the overlapping of the light field can make the nonlinear effect identical to the diffraction effect, the attraction between the two AiGBs increases, while the repulsion force is almost zero, and then a single breathing soliton can be generated in the center of the two AiGBs. If v < 0 and d > 0 (big enough) or v > 0 and d < 0, the constructive interference between two AiGBs causes the autofocusing beams first to be generated, then to repel each other, and the soliton pairs can form. For the out-of-phase case, if v < 0 and d < 0 or v > 0 and d > 0, the repulsion between the two AiGBs becomes bigger, and the repulsion increases with |v| monotonically. If v < 0 and d > 0 or v > 0 and d < 0, the elastic collision between the two AiGBs shows the phenomenon: first attracting and then repelling mutually. When both v and d are small enough, soliton pairs cannot form due to the unbalance between the strong diffraction effect and weaker nonlinear effect induced by the destructive interference.

Keywords:

Authors and contacts

School of Science, Changchun University of Science and Technology, Changchun 130022, China

Corresponding author: Song De, songde_cust@163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51602028, 11805072, 11874091), the Key Program of Science and Technology of Jilin Province, China (Grant No. 2018020103GX), the Cooperation Project of Changchun Science and Technology Bureau, China (Grant No. 17DY029), and the Youth Science Foundation of Changchun University of Science and Technology, China (Grant No. XQNJJ-2017-04).

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References

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Cited By

图 1 (a) g取不同值时AiGBs的光强分布; (b), (c), (d)入射角度v取不同值时自由空间中AiGB的演化

Figure 1. (a) Intensity distributions of AiGBs with g = 0.01 and 1; (b), (c), (d) evolution of AiGB in free space with different initial launch angle v.

DownLoad: Full-Size Img PowerPoint

图 2 五次散焦非线性强度取不同值时同相位AiGBs的交互作用(入射角度v = 0)

Figure 2. Interactions of in-phase AiGBs with different strength of the quintic defocusing nonlinearity. The initial launch angle v = 0.

DownLoad: Full-Size Img PowerPoint

图 3 五次散焦非线性强度取不同值时反相位AiGBs的交互作用(入射角度v = 0)

Figure 3. Interactions of out-of-phase AiGBs with different strength of the quintic defocusing nonlinearity. The initial launch angle v = 0

DownLoad: Full-Size Img PowerPoint

图 4 不同入射角度条件下同相位AiGBs的交互作用

Figure 4. Interactions of in-phase AiGBs with different initial launch angles.

DownLoad: Full-Size Img PowerPoint

图 5 不同入射角度条件下反相位AiGBs的交互作用

Figure 5. Interactions of out-of-phase AiGBs with different initial launch angles.

DownLoad: Full-Size Img PowerPoint

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[2]	Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979 Google Scholar
[3]	Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901 Google Scholar
[4]	Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675 Google Scholar
[5]	任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 物理学报 61 174207 Google Scholar Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 Google Scholar
[6]	Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901 Google Scholar
[7]	Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229 Google Scholar
[8]	Rose P, Diebel F, Boguslawski M, Denz C 2013 Appl. Phys. Lett. 102 101101 Google Scholar
[9]	Wiersma N, Marsal N, Sciamanna M, Wolfersberger D 2014 Opt. Lett. 39 5997 Google Scholar
[10]	Liang Y, Hu Y, Song D, Lou C, Zhang X, Chen Z, Xu J 2015 Opt. Lett. 40 5686 Google Scholar
[11]	Li J, Zang W, Tian J 2010 Opt. Lett. 35 3258 Google Scholar
[12]	Li J, Fan X, Zang W, Tian J 2011 Opt. Lett. 36 648 Google Scholar
[13]	Clerici M, Hu Y, Lassonde P, Millián C, Couairon A, Christodoulides D N, Chen Z, Razzari L, Vidal F, Légaré F, Faccio D, Morandotti R 2015 Sci. Adv. 1 e1400111 Google Scholar
[14]	张泽, 刘京郊, 张鹏, 倪培根, Prakash Jai, 胡洋, 姜东升, Christodoulides Demetrios N, 陈志刚 2013 物理学报 62 034209 Google Scholar Zhang Z, Liu J J, Zhang P, Ni P G, Prakash J, Hu Y, Jiang D S, Christodoulides D N, Chen Z G 2013 Acta Phys. Sin. 62 034209 Google Scholar
[15]	Chen Z, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401 Google Scholar
[16]	Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901 Google Scholar
[17]	Fattal Y, Rudnick A, Marom D M 2011 Opt. Express 19 17298 Google Scholar
[18]	Panagiotopoulos P, Abdollahpour D, Lotti A, Couairon A, Faccio D, Papazoglou D G, Tzortzakis S 2012 Phys. Rev. A 86 013842 Google Scholar
[19]	Hu Y, Sun Z, Bongiovanni D, Song D, Lou C, Xu J, Morandotti R 2012 Opt. Lett. 37 3201 Google Scholar
[20]	Zhang Y, Belić M, Wu Z, Zheng H, Lu K, Li Y, Zhang Y 2013 Opt. Lett. 38 4585 Google Scholar
[21]	Zhang L F, Huang P W, Conti C, Wang Z T, Hu Y H, Lei D J, Li Y, Fan D Y 2017 Opt. Express 25 1856 Google Scholar
[22]	Shen M, Gao J, Ge L 2015 Sci. Rep. 5 09814 Google Scholar
[23]	Zhou G, Chen R, Ru G 2014 Laser Phys. Lett. 11 105001 Google Scholar
[24]	Xiao F, Li B, Wang M, Zhu W, Zhang P, Liu S, Zhao J 2014 Opt. Express 22 22763 Google Scholar
[25]	Zhang M, Huo G, Zhong H, Hui Z 2017 Opt. Express 25 22104 Google Scholar
[26]	Wu Z K, Guo H, Wang W, Gu Y Z 2018 Front. Phys. 13 134201 Google Scholar
[27]	Chen W, Lu K, Yang J, Liu C, Wang X, Mu Y 2018 Appl. Phys. B 124 217
[28]	Zhan K, Yang Z, Jiao R, Liu B, Han G, Xu X, Jiao Z 2019 Opt. Commun. 432 49 Google Scholar
[29]	Bandres M A, Gutiérrez-Vega J C 2007 Opt. Express 15 16719 Google Scholar
[30]	Chen C, Chen B, Peng X, Deng D 2015 J. Opt. 17 035504 Google Scholar
[31]	Peng Y, Peng X, Chen B, Zhou M, Chen C, Deng D 2016 Opt. Commun. 359 116 Google Scholar
[32]	Zhou M, Peng Y, Chen C, Chen B, Peng X, Deng D 2016 Chin. Phys. B 25 084102 Google Scholar
[33]	Deng D M 2011 Eur. Phys. J. D 65 553 Google Scholar
[34]	Deng D, Li H 2012 Appl. Phys. B 106 677 Google Scholar
[35]	Zhang X 2016 Opt. Commun. 367 364 Google Scholar
[36]	Shi Z, Xue J, Zhu X, Xiang Y, Li H 2017 Phys. Rev. E 95 042209 Google Scholar
[37]	Jiang Q, Su Y, Ma Z, Zheng W, Li Y, Nie H 2018 J. Mod. Opt. 65 2243 Google Scholar
[38]	陈卫军, 卢克清, 惠娟利, 张宝菊 2016 物理学报 65 244202 Google Scholar Chen W J, Lu K Q, Hui J L, Zhang B J 2016 Acta Phys. Sin. 65 244202 Google Scholar
[39]	Chen W, Ju Y, Liu C, Wang L, Lu K 2018 Chin. Phys. B 27 114216 Google Scholar
[40]	Dimitrevski K, Reimhult E, Svensson E, Öhgren A, Anderson D, Berntson A, Quiroga-Teixeiro M L 1998 Phys. Lett. A 248 369 Google Scholar
[41]	Reyna A S, Malomed B A, de Araújo C B 2015 Phys. Rev. A 92 033810 Google Scholar
[42]	Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2008 Opt. Lett. 33 207 Google Scholar
[43]	Zhang Y, Belić M, Sun J, Zheng H, Wu Z, Chen H, Zhang Y 2015 Rom. Rep. Phys. 67 1099
[44]	Deng F, Yu W, Deng D 2016 Laser Phys. Lett. 13 116202 Google Scholar

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