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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.
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Keywords:
- competing nonlinearity /
- Airy-Gaussian beam /
- interactions /
- light field control
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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
Fig. 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.
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)
Fig. 2. Interactions of in-phase AiGBs with different strength of the quintic defocusing nonlinearity. The initial launch angle v = 0.
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)
Fig. 3. Interactions of out-of-phase AiGBs with different strength of the quintic defocusing nonlinearity. The initial launch angle v = 0
图 4 不同入射角度条件下同相位AiGBs的交互作用
Fig. 4. Interactions of in-phase AiGBs with different initial launch angles.
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[1] Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
Google Scholar
[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
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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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