Abstract

Interactions of two truncated Airy pulses with arbitrarily initial relative phases, initial pulse intervals, and different soliton order are numerically investigated in optical fibers. When the soliton order is 1, depending on different initial pulse intervals, the initial in-phase Airy pulses may evolve to single breathing solitons, bound breathing solitons, and single parallel breathing solitons. While the out-of-phase Airy pulses may evolve to parallel or repulsive soliton pairs with breathing or weak breathing, after radiating away some dispersive waves. When the initial relative phases take arbitrary values except 0 and π, moving single breathing solitons and repulsive or parallel soliton pairs will form. Moreover, the whole temporal profiles may become asymmetric. The repulsive soliton pairs consist of two moving breathing solitons with different intensities, moving velocities, and breathing periods. The most interestingly is that, when the soliton order is larger than one, we observe double bound breathing solitons, double parallel breathing soliton pairs, and diverse composite breathing solitons which consist of two or more different breathing solitons. one can effectively manipulate and select the soliton expected and its evolution dynamics by adjusting the soliton order, initial pulse intervals, and initial relative phases.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2107 (1)

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

2018 (1)

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

2017 (3)

Y. Wu, L. Shao, and J. Nie, “Anomalous interactions of nonparaxial accelerating beams in nonlocal nonlinear media,” J. Opt. Soc. Am. B 34(6), 1115–1121 (2017).
[Crossref]

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

2016 (2)

X. Zhang, “Bound states of breathing Airy–Gaussian beams in nonlocal nonlinear medium,” Opt. Commun. 367, 364–371 (2016).
[Crossref]

M. Shen, W. Li, and R.-K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
[Crossref] [PubMed]

2015 (5)

2014 (4)

2013 (8)

R. Driben, Y. Hu, Z. Chen, B. A. Malomed, and R. Morandotti, “Inversion and tight focusing of Airy pulses under the action of third-order dispersion,” Opt. Lett. 38(14), 2499–2501 (2013).
[Crossref] [PubMed]

H. T. Eyyuboğlu and E. Sermutlu, “Partially coherent Airy beam and its propagation in turbulent media,” Appl. Phys. B 110(4), 451–457 (2013).
[Crossref]

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, “Self-accelerating beams in photonic crystals,” Opt. Express 21(7), 8886–8896 (2013).
[Crossref] [PubMed]

L. Gui, X. Xiao, and C. Yang, “Observation of various bound solitons in a carbon-nanotube-based erbium fiber laser,” J. Opt. Soc. Am. B 30(1), 158–164 (2013).
[Crossref]

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

2012 (3)

2011 (6)

2009 (4)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

J. E. Morris, M. Mazilu, J. Baumgartl, T. Cizmár, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength,” Opt. Express 17(15), 13236–13245 (2009).
[Crossref] [PubMed]

2008 (2)

I. M. Besieris and A. M. Shaarawi, “Accelerating Airy wave packets in the presence of quadratic and cubic dispersion,” Phys. Rev. E 78(4), 046605 (2008).
[Crossref]

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated partical clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

2007 (2)

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

1979 (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Akhmediev, N.

Ament, C.

C. Ament, P. Polynkin, and J. V. Moloney, “Supercontinuum generation with femtosecond self-healing Airy pulses,” Phys. Rev. Lett. 107(24), 243901 (2011).
[Crossref] [PubMed]

Arie, A.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

Azaña, J.

Bai, X. K.

S. F. Wang, D. F. Fan, X. K. Bai, and X. L. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
[Crossref]

Bai, Y.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Balazs, N. L.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Baumgartl, J.

Belic, M. R.

Berry, M. V.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Besieris, I. M.

I. M. Besieris and A. M. Shaarawi, “Accelerating Airy wave packets in the presence of quadratic and cubic dispersion,” Phys. Rev. E 78(4), 046605 (2008).
[Crossref]

Boguslawski, M.

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Bokic, B. M.

Bongiovanni, D.

Broky, J.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Cannan, D.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

Cao, M.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Chang, W.

Che, Y.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Chen, H.

Chen, Y.

Chen, Z.

Cheng, K.

Cheng, Y.

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

Christodoulides, D. N.

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36(15), 2883–2885 (2011).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
[Crossref] [PubMed]

Cizmár, T.

Clerici, M.

Deng, Y.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Denz, C.

Dholakia, K.

Diebel, F.

Ding, J.

Dogariu, A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Driben, R.

Du, X.

Efremidis, N. K.

Ellenbogen, T.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

Eyyuboglu, H. T.

H. T. Eyyuboğlu and E. Sermutlu, “Partially coherent Airy beam and its propagation in turbulent media,” Appl. Phys. B 110(4), 451–457 (2013).
[Crossref]

Fan, D.

Fan, D. F.

S. F. Wang, D. F. Fan, X. K. Bai, and X. L. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
[Crossref]

Fan, X. L.

Fattal, Y.

Fu, X.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Ganany-Padowicz, A.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

Gao, J.

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
[Crossref] [PubMed]

Ge, L.

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
[Crossref] [PubMed]

Gu, Y.

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

Gui, L.

Guo, H.

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

He, J.

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

Hu, Y.

Huang, X.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Jovic Savic, D. M.

Kaminer, I.

Kolesik, M.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Lee, R.-K.

Li, C.

Li, H.

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

Li, J. X.

Li, L.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Li, M.

Li, T.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Li, W.

Li, Y.

Liu, A. L.

Liu, G. C.

Makris, K. G.

Malomed, B. A.

Marom, D. M.

Marsal, N.

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

Mazilu, M.

Mills, M. S.

Moloney, J.

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Moloney, J. V.

C. Ament, P. Polynkin, and J. V. Moloney, “Supercontinuum generation with femtosecond self-healing Airy pulses,” Phys. Rev. Lett. 107(24), 243901 (2011).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

Morandotti, R.

Morris, J. E.

Nemirovsky, J.

Nie, J.

Paltoglou, V.

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

Polynkin, P.

C. Ament, P. Polynkin, and J. V. Moloney, “Supercontinuum generation with femtosecond self-healing Airy pulses,” Phys. Rev. Lett. 107(24), 243901 (2011).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Porsezian, K.

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

Prakash, J.

Rose, P.

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Rudnick, A.

Sciamanna, M.

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

Segev, M.

Sermutlu, E.

H. T. Eyyuboğlu and E. Sermutlu, “Partially coherent Airy beam and its propagation in turbulent media,” Appl. Phys. B 110(4), 451–457 (2013).
[Crossref]

Shaarawi, A. M.

I. M. Besieris and A. M. Shaarawi, “Accelerating Airy wave packets in the presence of quadratic and cubic dispersion,” Phys. Rev. E 78(4), 046605 (2008).
[Crossref]

Shao, L.

Shen, J.

Shen, M.

M. Shen, W. Li, and R.-K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
[Crossref] [PubMed]

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
[Crossref] [PubMed]

Shi, X.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Shi, Z.

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

Siviloglou, G. A.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
[Crossref] [PubMed]

song, X.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Soto-Crespo, J. M.

Tan, C.

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Tian, J. G.

Timotijevic, D. V.

Voloch-Bloch, N.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

von Klitzing, W.

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

Vouzas, P.

Wang, H. T.

Wang, S. F.

S. F. Wang, D. F. Fan, X. K. Bai, and X. L. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
[Crossref]

Wang, S. M.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Wang, W.

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

Wiersma, N.

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

Wolfersberger, D.

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

Wu, Y.

Wu, Z.

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

Xiang, Y.

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

Xiao, X.

Xu, S.

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

Xue, J.

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

Yang, C.

Yao, J.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Ye, Y.

Yin, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

Yu, Y.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Zang, W. P.

Zeng, X. L.

S. F. Wang, D. F. Fan, X. K. Bai, and X. L. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
[Crossref]

Zhang, B. F.

Zhang, C.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Zhang, H.

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

Zhang, J. G.

Zhang, L.

Zhang, L. F.

Zhang, P.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36(15), 2883–2885 (2011).
[Crossref] [PubMed]

Zhang, X.

X. Zhang, “Bound states of breathing Airy–Gaussian beams in nonlocal nonlinear medium,” Opt. Commun. 367, 364–371 (2016).
[Crossref]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

Zhang, Y.

Zhang, Z.

Zhao, D.

Zheng, H.

Zheng, Z.

Zhong, H.

Zhong, X.

Zhu, S. N.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Zhu, X.

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

Zhuang, F.

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B (1)

H. T. Eyyuboğlu and E. Sermutlu, “Partially coherent Airy beam and its propagation in turbulent media,” Appl. Phys. B 110(4), 451–457 (2013).
[Crossref]

Appl. Phys. Lett. (1)

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Front. Phys. (1)

Z. Wu, H. Guo, W. Wang, and Y. Gu, “Evolution of finite energy Airy beams in cubic-quintic atomic vapor system,” Front. Phys. 13(1), 134201 (2018).
[Crossref]

IEEE Photonics J. (1)

Y. Yu, Y. Zhang, X. song, H. Zhang, M. Cao, Y. Che, H. Zhang, and J. Yao, “Dynamic propagation of initially chirped Airy pulses in a quintic nonlinear fiber,” IEEE Photonics J. 9(3), 7904107 (2107).

J. Opt. Soc. Am. B (4)

Nat. Photonics (2)

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3(7), 395–398 (2009).
[Crossref]

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated partical clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Opt. Commun. (2)

X. Zhang, “Bound states of breathing Airy–Gaussian beams in nonlocal nonlinear medium,” Opt. Commun. 367, 364–371 (2016).
[Crossref]

X. Shi, X. Huang, Y. Deng, C. Tan, Y. Bai, and X. Fu, “Dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber,” Opt. Commun. 399, 16–23 (2017).
[Crossref]

Opt. Express (8)

L. Zhang, H. Zhong, Y. Li, and D. Fan, “Manipulation of Raman-induced frequency shift by use of asymmetric self-accelerating Airy pulse,” Opt. Express 22(19), 22598–22607 (2014).
[Crossref] [PubMed]

X. Zhong, X. Du, and K. Cheng, “Evolution of finite energy Airy pulses and soliton generation in optical fibers with cubic-quintic nonlinearity,” Opt. Express 23(23), 29467–29475 (2015).
[Crossref] [PubMed]

F. Diebel, B. M. Bokić, D. V. Timotijević, D. M. Jović Savić, and C. Denz, “Soliton formation by decelerating interacting Airy beams,” Opt. Express 23(19), 24351–24361 (2015).
[Crossref] [PubMed]

Y. Zhang, M. R. Belić, H. Zheng, H. Chen, C. Li, Y. Li, and Y. Zhang, “Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media,” Opt. Express 22(6), 7160–7171 (2014).
[Crossref] [PubMed]

J. E. Morris, M. Mazilu, J. Baumgartl, T. Cizmár, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength,” Opt. Express 17(15), 13236–13245 (2009).
[Crossref] [PubMed]

Y. Fattal, A. Rudnick, and D. M. Marom, “Soliton shedding from Airy pulses in Kerr media,” Opt. Express 19(18), 17298–17307 (2011).
[Crossref] [PubMed]

M. Shen, W. Li, and R.-K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
[Crossref] [PubMed]

I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, “Self-accelerating beams in photonic crystals,” Opt. Express 21(7), 8886–8896 (2013).
[Crossref] [PubMed]

Opt. Lett. (7)

Phys. Rev. A (2)

S. F. Wang, D. F. Fan, X. K. Bai, and X. L. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
[Crossref]

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

Phys. Rev. E (3)

Z. Shi, J. Xue, X. Zhu, Y. Xiang, and H. Li, “Interaction of Airy-Gaussian beams in photonic lattices with defects,” Phys. Rev. E 95(4), 042209 (2017).
[Crossref] [PubMed]

I. M. Besieris and A. M. Shaarawi, “Accelerating Airy wave packets in the presence of quadratic and cubic dispersion,” Phys. Rev. E 78(4), 046605 (2008).
[Crossref]

S. Xu, K. Porsezian, J. He, and Y. Cheng, “Circularly polarized few-cycle optical rogue waves: rotating reduced Maxwell-Bloch equations,” Phys. Rev. E 88(6), 062925 (2013).
[Crossref] [PubMed]

Phys. Rev. Lett. (5)

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

C. Ament, P. Polynkin, and J. V. Moloney, “Supercontinuum generation with femtosecond self-healing Airy pulses,” Phys. Rev. Lett. 107(24), 243901 (2011).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber accelerating beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107(12), 126804 (2011).
[Crossref] [PubMed]

Sci. Rep. (2)

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
[Crossref] [PubMed]

Science (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

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Figures (4)

Fig. 1
Fig. 1 the contour maps of interactions of two truncated Airy pulses for different initial relative phases and pulse intervals: (a1)-(j1) g = 0, successively corresponding to q0 = −14, −7, −1, 0, 1, 3, 5, 6, 7, and 12. (a2)-(h2) g = π, successively corresponding to q0 = −12, −7, −1, 0, 1, 3, 7, and 12. (a3)-(i3) g = π/3, successively corresponding to q0 = −14, −7, −1, 0, 1, 3, 5, 7, and 12. (a4)-(i4) g = π/2, corresponding to q0 = −14, −7, −3, −1, 0, 1, 5, 7, and 12.
Fig. 2
Fig. 2 variations of the maximal normalized amplitudes with the propagation distance for different types of solitons: (a) parallel breathing solitons. (b) bound breathing solitons. (c) single breathing solitons. (d) single moving breathing solitons. (e) unsymmetrical repulsive soliton pairs. (f) symmetrical repulsive soliton pairs.
Fig. 3
Fig. 3 variations of the temporal positions of the maximal normalized envelopes with the propagation distance for different types of solitons: (a) parallel breathing solitons. (b) bound breathing solitons. (c) single moving breathing solitons. (d) unsymmetrical repulsive soliton pairs. (e) symmetrical repulsive soliton pairs.
Fig. 4
Fig. 4 the contour maps of interactions of two in-phase truncated Airy pulses for different pulse intervals and different soliton orders: (a1) and (b1) N = 0.3, corresponding to q0 = 5 and 7. (c1) and (d1) N = 0.8, corresponding to q0 = 5 and 7. (e1)-(i1) N = 1.5, successively corresponding to q0 = −5, −4.5, −3, 3, and 5. (j1)-(n1) N = 2, successively corresponding to q0 = −5, −3, 0, 1 and 5. (o1)-(u1) N = 2.5, corresponding to q0 = −5, 1, 3, 3.5, 4, 5, and 7. (v1)-(z1) N = 3, successively corresponding to q0 = −3, −1, 0, 1, and 3. (a2)-(g2) N = 4, successively corresponding to q0 = −5, −3, −1, 0, 1, 2 and 3. (h2)-(n2) N = 4.5, successively corresponding to q0 = −3, −2, −1, 0, 1, 2 and 3.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

i u ξ + 1 2 2 u τ 2 +| u | 2 u=0.
u( 0,τ )=NX( b )[ φ 1 ( τ )+ φ 2 ( τ )exp( ig ) ].
φ 1 ( τ )=Ai( τ+ q 0 )exp[ b( τ+ q 0 ) ].
φ 2 ( τ )=Ai[ -( τ- q 0 ) ]exp[ -b( τ- q 0 ) ].

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