Abstract

We numerically simulate the propagation of finite energy Airy pulses in optical fibers with cubic-quintic nonlinearity and analyze the effects of quintic nonlinear parameters and soliton order number on their evolution properties. The soliton pulses are observed, whose peak amplitudes and corresponding temporal positions will vary with the propagation distance. Depending on different quintic nonlinearity parameters and soliton order number, the soliton pulse temporal positions exhibit weak decayed oscillations and then nearly linearly shift to leading or trailing edge of the Airy wavepacket, or tend to fixed positions, and the peak amplitudes also exhibit decayed oscillations but with different oscillation amplitude and central values. For large soliton order number, the soliton pulses are considerably compressed. Other weak dispersive wave pulses will appear near the main soliton pulses and gradually depart from the main soliton pulses. In the case of small soliton order, despite their considerable energy attenuation, the main lobes and even minority of the neighboring side lobes of the Airy pulses can still recover from the energy transfer to the soliton pulses and the dispersive wave pulses and maintain their unique properties of self-healing and self-acceleration in time for a very long distance. In the case of large soliton order, however, the Airy wavepacket only remains its very weak background and even disappears quickly.

© 2015 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]

2014 (5)

2013 (5)

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]

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]

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

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

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]

2012 (3)

2011 (9)

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[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]

P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories,” Opt. Lett. 36(16), 3191–3193 (2011).
[Crossref] [PubMed]

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[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]

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. 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]

Z. Zheng, B. F. Zhang, H. Chen, J. Ding, and H. T. Wang, “Optical trapping with focused Airy beams,” Appl. Opt. 50(1), 43–49 (2011).
[Crossref] [PubMed]

J. X. Li, X. L. Fan, W. P. Zang, and J. G. Tian, “Vacuum electron acceleration driven by two crossed Airy beams,” Opt. Lett. 36(5), 648–650 (2011).
[Crossref] [PubMed]

2010 (5)

J. X. Li, W. P. Zang, and J. G. Tian, “Vacuum laser-driven acceleration by Airy beams,” Opt. Express 18(7), 7300–7306 (2010).
[Crossref] [PubMed]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

A. Salandrino and D. N. Christodoulides, “Airy plasmon: a nondiffracting surface wave,” Opt. Lett. 35(12), 2082–2084 (2010).
[Crossref] [PubMed]

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

2009 (5)

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]

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]

A. V. Novitsky and D. V. Novitsky, “Nonparaxial Airy beams: role of evanescent waves,” Opt. Lett. 34(21), 3430–3432 (2009).
[Crossref] [PubMed]

2008 (3)

H. I. Sztul and R. R. Alfano, “The Poynting vector and angular momentum of Airy beams,” Opt. Express 16(13), 9411–9416 (2008).
[Crossref] [PubMed]

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

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

2007 (4)

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]

M. A. Bandres and J. C. Gutiérrez-Vega, “Airy-Gauss beams and their transformation by paraxial optical systems,” Opt. Express 15(25), 16719–16728 (2007).
[Crossref] [PubMed]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulation instability in the cubic-quintic nonlinear Schrödinger equation through variational approach,” Opt. Commun. 275(2), 421–428 (2007).
[Crossref]

1997 (1)

S. Tanev and D. Pushkarov, “Solitary wave propagation and bistability in the normal dispersion region of highly nonlinear optical fibers and waveguides,” Opt. Commun. 141(5–6), 322–328 (1997).
[Crossref]

1979 (1)

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

Abdollahpour, D.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Alfano, R. R.

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]

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]

Balazs, N. L.

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

Bandres, M. A.

Baumgartl, J.

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 Stat. Nonlin. Soft Matter Phys. 78(4), 046605 (2008).
[Crossref] [PubMed]

Boguslawski, M.

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

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]

Chen, H.

Chen, Y.

Chen, Z.

Cheng, K.

X. Q. Zhong, X. X. Zhang, A. P. Xiang, and K. Cheng, “Evolution of hyperbolic-secant optical pulses towards wave breaking in quintic nonlinear fibers,” Opt. Laser Technol. 44(3), 669–674 (2012).
[Crossref]

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

Chong, A.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

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]

A. Salandrino and D. N. Christodoulides, “Airy plasmon: a nondiffracting surface wave,” Opt. Lett. 35(12), 2082–2084 (2010).
[Crossref] [PubMed]

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

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]

Chu, X.

W. Wen and X. Chu, “Beam wander of partially coherent Airy beams,” J. Mod. Opt. 61(5), 379–384 (2014).
[Crossref]

Cizmár, T.

Denz, C.

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

Dholakia, K.

Diebel, F.

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

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.

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]

Gutiérrez-Vega, J. C.

Hu, Y.

Janunts, N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

Kaminer, I.

Kivshar, Y. S.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

Klein, A. E.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

Kofané, T. C.

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulation instability in the cubic-quintic nonlinear Schrödinger equation through variational approach,” Opt. Commun. 275(2), 421–428 (2007).
[Crossref]

Kolesik, M.

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. 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]

Li, J. X.

Li, L.

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[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, T.

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]

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[Crossref] [PubMed]

Li, Y.

Liu, A. L.

Liu, G. C.

Liu, Y.

Lu, C.

Makris, K. G.

Malomed, B. A.

Marom, D. M.

Mazilu, M.

Mills, M. S.

Minovich, A.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

Mohamadou, A.

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulation instability in the cubic-quintic nonlinear Schrödinger equation through variational approach,” Opt. Commun. 275(2), 421–428 (2007).
[Crossref]

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.

Ndzana, F.

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulation instability in the cubic-quintic nonlinear Schrödinger equation through variational approach,” Opt. Commun. 275(2), 421–428 (2007).
[Crossref]

Nemirovsky, J.

Neshev, D. N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

Novitsky, A. V.

Novitsky, D. V.

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]

Papazoglou, D. G.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Pertsch, T.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[Crossref] [PubMed]

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

Prakash, J.

Pushkarov, D.

S. Tanev and D. Pushkarov, “Solitary wave propagation and bistability in the normal dispersion region of highly nonlinear optical fibers and waveguides,” Opt. Commun. 141(5–6), 322–328 (1997).
[Crossref]

Renninger, W. H.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

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.

Salandrino, A.

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 Stat. Nonlin. Soft Matter Phys. 78(4), 046605 (2008).
[Crossref] [PubMed]

Shen, J.

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]

Suntsov, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Sztul, H. I.

Tanev, S.

S. Tanev and D. Pushkarov, “Solitary wave propagation and bistability in the normal dispersion region of highly nonlinear optical fibers and waveguides,” Opt. Commun. 141(5–6), 322–328 (1997).
[Crossref]

Tian, J. G.

Tzortzakis, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

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]

Wang, H. T.

Wang, S.

P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories,” Opt. Lett. 36(16), 3191–3193 (2011).
[Crossref] [PubMed]

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[Crossref] [PubMed]

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]

Wen, W.

W. Wen and X. Chu, “Beam wander of partially coherent Airy beams,” J. Mod. Opt. 61(5), 379–384 (2014).
[Crossref]

Wise, F. W.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Xiang, A.

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

Xiang, A. P.

X. Q. Zhong, X. X. Zhang, A. P. Xiang, and K. Cheng, “Evolution of hyperbolic-secant optical pulses towards wave breaking in quintic nonlinear fibers,” Opt. Laser Technol. 44(3), 669–674 (2012).
[Crossref]

Ye, Y.

Yin, X.

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, J. G.

Zhang, L.

Zhang, L. F.

Zhang, P.

Zhang, X.

P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories,” Opt. Lett. 36(16), 3191–3193 (2011).
[Crossref] [PubMed]

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[Crossref] [PubMed]

Zhang, X. X.

X. Q. Zhong, X. X. Zhang, A. P. Xiang, and K. Cheng, “Evolution of hyperbolic-secant optical pulses towards wave breaking in quintic nonlinear fibers,” Opt. Laser Technol. 44(3), 669–674 (2012).
[Crossref]

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

Zhang, Z.

Zhao, D.

Zheng, Z.

Zhong, H.

Zhong, X. Q.

X. Q. Zhong, X. X. Zhang, A. P. Xiang, and K. Cheng, “Evolution of hyperbolic-secant optical pulses towards wave breaking in quintic nonlinear fibers,” Opt. Laser Technol. 44(3), 669–674 (2012).
[Crossref]

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

Zhu, S.

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[Crossref] [PubMed]

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]

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]

J. Mod. Opt. (1)

W. Wen and X. Chu, “Beam wander of partially coherent Airy beams,” J. Mod. Opt. 61(5), 379–384 (2014).
[Crossref]

J. Opt. Soc. Am. B (1)

Nano Lett. (1)

L. Li, T. Li, S. Wang, S. Zhu, and X. Zhang, “Broad band focusing and demultiplexing of in-plane propagating surface plasmons,” Nano Lett. 11(10), 4357–4361 (2011).
[Crossref] [PubMed]

Nat. Photonics (3)

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]

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Opt. Commun. (3)

S. Tanev and D. Pushkarov, “Solitary wave propagation and bistability in the normal dispersion region of highly nonlinear optical fibers and waveguides,” Opt. Commun. 141(5–6), 322–328 (1997).
[Crossref]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulation instability in the cubic-quintic nonlinear Schrödinger equation through variational approach,” Opt. Commun. 275(2), 421–428 (2007).
[Crossref]

X. Q. Zhong, X. X. Zhang, K. Cheng, and A. Xiang, “Optical wave breaking in optical fibers with cubic-quintic nonlinearity,” Opt. Commun. 283(24), 5187–5191 (2010).
[Crossref]

Opt. Express (8)

Opt. Laser Technol. (1)

X. Q. Zhong, X. X. Zhang, A. P. Xiang, and K. Cheng, “Evolution of hyperbolic-secant optical pulses towards wave breaking in quintic nonlinear fibers,” Opt. Laser Technol. 44(3), 669–674 (2012).
[Crossref]

Opt. Lett. (9)

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]

F. Zhuang, X. Du, Y. Ye, and D. Zhao, “Evolution of Airy beams in a chiral medium,” Opt. Lett. 37(11), 1871–1873 (2012).
[Crossref] [PubMed]

F. Zhuang, J. Shen, X. Du, and D. Zhao, “Propagation and modulation of Airy beams through a four-level electromagnetic induced transparency atomic vapor,” Opt. Lett. 37(15), 3054–3056 (2012).
[Crossref] [PubMed]

P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories,” Opt. Lett. 36(16), 3191–3193 (2011).
[Crossref] [PubMed]

A. Salandrino and D. N. Christodoulides, “Airy plasmon: a nondiffracting surface wave,” Opt. Lett. 35(12), 2082–2084 (2010).
[Crossref] [PubMed]

A. V. Novitsky and D. V. Novitsky, “Nonparaxial Airy beams: role of evanescent waves,” Opt. Lett. 34(21), 3430–3432 (2009).
[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]

J. X. Li, X. L. Fan, W. P. Zang, and J. G. Tian, “Vacuum electron acceleration driven by two crossed Airy beams,” Opt. Lett. 36(5), 648–650 (2011).
[Crossref] [PubMed]

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

Phys. Rev. A (2)

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

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]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

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

Phys. Rev. Lett. (6)

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107(11), 116802 (2011).
[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]

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]

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]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[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]

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Figures (3)

Fig. 1
Fig. 1 the contour maps of temporal evolution of finite energy Airy pulses for different values of soliton order N and quintic nonlinearity related parameter R: (a)-(e) N = 1; (f)-(j) N = 2; and (k)-(o) N = 3. (a), (f), (k) R = - 0.09; (b), (g), (l) R = - 0.06; (c), (h), (m) R = 0; (d), (i), (n) R = 0.06; and (e), (j), (o) R = 0.09.
Fig. 2
Fig. 2 two dimensional temporal evolution of finite energy Airy pulses for different values of soliton order N and quintic nonlinearity related parameter R: (a)-(c) N = 1; (d)-(f) N = 2; and (g)-(i) N = 3. (a), (d), (g) R = - 0.09; (b), (e), (h) R = 0; and (c), (f), (i) R = 0.09.
Fig. 3
Fig. 3 variations of (a)-(c) the maximum of normalized amplitudes Um and (d)-(f) their corresponding temporal positions τm with the normalized propagation distance Z for different values of soliton order N and quintic nonlinearity related parameter R: (a), (b) N = 1; (c), (d) N = 2; and (e), (f) N = 3.

Equations (3)

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

i ψ z 1 2 β 2 2 ψ T 2 + γ 1 | ψ | 2 ψ + γ 2 | ψ | 4 ψ = 0
i u ξ - 1 2 sgn ( β 2 ) 2 u τ 2 + | u | 2 u + R N 2 | u | 4 u = 0
u ( 0 , τ ) = N X ( b ) A i ( τ ) exp ( b τ )

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