Abstract
We investigate numerically the propagation and interaction characteristics of finite-energy Airy–Hermite–Gaussian beams in biased photorefractive media. For the case of first-order Hermite polynomial, two main lobes of the initial input beam can form breathing solitons with two components. The interval between two soliton components in the \(y{\text{-direction}}\) increases gradually with the propagation distance, while the central position of two soliton components in the \(x{\text{-direction}}\) is almost unchanged during propagation. Moreover, in interaction situations, four main lobes of the two Airy–Hermite–Gaussian beams can also form breathing solitons with four components under the in-phase and out-of-phase conditions, respectively.
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J. Durnin, J.J. Miceli, J.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987)
J.C. Gutiérrez-Vega, M.D. Iturbe-Castillo, S. Chávez-Cerda, Opt. Lett. 25, 1493 (2000)
U.T. Schwarz, M.A. Bandres, J.C. Gutiérrez-Vega, Opt. Lett. 29, 1870 (2004)
G.A. Siviloglou, D.N. Christodoulides, Opt. Lett. 32, 979 (2007)
G.A. Siviloglou, J. Broky, K. Dholakia, D.N. Christodoulides, Phys. Rev. Lett. 99, 13901 (2007)
H.F. Wang, L.P. Shi, B. Lukyanchuk, C. Sheppard, C.T. Chong, Nat. Photonics. 2, 501 (2008)
F.O. Fahrbach, S. Philipp, R. Alexander, Nat. Photonics. 4, 780 (2010)
T.A. Planchon, L. Gao, D.E. Milkie, M.W. Davidson, J.A. Galbraith, C.G. Galbraith, E. Betzig, Nat. Methods. 8, 417 (2011)
M.V. Berry, N.L. Balazs, Am. J. Phys. 47, 264 (1979)
M.A. Bandres, J.C. Gutiérrez-Vega, Opt. Express. 15, 16719 (2007)
C.D. Chen, B. Chen, X. Peng, D.M. Deng, J. Opt. 17, 035504 (2015)
X.P. Zhang, Opt. Commun. 367, 364 (2016)
W.J. Chen, K.Q. Lu, J.L. Hui, B.J. Zhang, Acta Phys. Sin. 65, 244202 (2016)
D.M. Deng, C.D. Chen, X. Zhao, H.G. Li, Appl. Phys. B. 110, 433 (2013)
K. Cheng, X.Q. Zhong, A.P. Xiang, Opt. Laser Technol. 57, 77 (2014)
J.G. Grossman, L.W. Casperson, O.M. Stafsudd, L.V. Sutter, Appl. Opt. 23, 48 (1984)
W. Wen, K.H. Song, Y.M. Dong, M. Yao, Opt. Laser Technol. 48, 28 (2013)
A.A.A. Ebrahim, L. Ez-zariy, M. Boustimi, A. Chafiq, H. Nebdi, A. Belafhal, Phys. Chem. News. 73, 21 (2014)
J. Yu, S.L. Xiao, L. Yao, S.Y. Liu, J. Li, J. Mod. Opt. 64, 616 (2017)
P. Zhang, J. Prakash, Z. Zhang, M.S. Mills, N.K. Efremidis, D.N. Christodoulides, Z.G. Chen, Opt. Lett. 36, 2883 (2011)
Z.Y. Zhao, W.P. Zang, J.J. Tian, J. Opt. 18, 025607 (2016)
Y.L. Gu, G. Gbur, Opt. Lett. 35, 3456 (2010)
J.S. Liu, K.Q. Lu, J. Opt. Soc. Am. B. 16, 550 (1999)
Q.C. Jiang, Y.L. Su, X.M. Ji, Opt. Commun. 283, 3512 (2010)
Q.C. Jiang, Y.L. Su, H.X. Nie, Z.W. Ma, Y.H. Li, J. Mod. Opt. 64, 609 (2017)
Y.Q. Zhang, M. Belic, Z.K. Wu, H.B. Zheng, K.Q. Lu, Y.Y. Li, Y. P. Opt. Lett. 38, 4585 (2013)
M.L. Zhong, Y.L. Peng, C.D. Chen, B. Chen, X. Peng, D.M. Deng, Chin. Phys. B. 25, 084102 (2016)
Z.G. Chen, M. Segev, T.H. Coskun, J. Opt. Soc. Am. B. 14, 3066 (1997)
W.L. She, C.C. Xu, B. Guo, W.K. Lee, J. Opt. Soc. Am. B. 23, 2121 (2006)
S. Jia, J. Lee, J.W. Fleischer, Phys. Rev. Lett. 104, 253904 (2010)
Y. Hu, Z. Sun, D. Bongiovanni, D.H. Song, C.B. Lou, J.J. Xu, Z.G. Chen, R. Morandotti, Opt. Lett. 37, 3201 (2012)
F. Diebel, B.M. Bokić, D.V. Timotijević, D.M. Jović Savić, C. Denz, Opt. Express. 23, 24351 (2015)
Acknowledgements
The project was supported by the Natural Science Foundation of Shanxi Province, China (2011011003-2) and the Doctor Scientific Research Fund of Yuncheng University (YQ-2015011).
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Jiang, Q., Su, Y., Nie, H. et al. Propagation and interaction of finite-energy Airy–Hermite–Gaussian beams in photorefractive media. Appl. Phys. B 124, 36 (2018). https://doi.org/10.1007/s00340-018-6906-0
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DOI: https://doi.org/10.1007/s00340-018-6906-0