Abstract

A fiber analogue of the optical event horizon is proposed via an Airy-soliton collision. The characteristics of an Airy pulse are demonstrated in a photonic crystal fiber. The robust Airy wave packet is capable of being manipulated by a strong soliton in the frame of the Airy-soliton horizon, leading to various distinctive interaction scenarios. The Airy pulse realizes the temporal reversing and still maintains its features even after undergoing a complete wavelength conversion process. Different comb-like spectra are created in the presence of Raman effect by changing the duration of the Airy pulse. The rebounds of Airy pulse in a twin-soliton trapping process is investigated. Meanwhile, a “maximally compressed” Akhmediev Breather is employed to collide with a soliton to compare with the Airy-soliton horizon case. The result can be found in the potential applications of pulse reshaping and temporal-spectral imaging for optical communication and signal processing.

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

Full Article  |  PDF Article
OSA Recommended Articles
Dark solitons manipulation using optical event horizon

Zhixiang Deng, Jun Liu, Xianwei Huang, Chujun Zhao, and Xinlin Wang
Opt. Express 26(13) 16535-16546 (2018)

Active control of adiabatic soliton fission by external dispersive wave at optical event horizon

Zhixiang Deng, Jun Liu, Xianwei Huang, Chujun Zhao, and Xinlin Wang
Opt. Express 25(23) 28556-28566 (2017)

Optical event horizon-based complete transformation and control of dark solitons

Zhixiang Deng, Yu Chen, Jun Liu, Chujun Zhao, and Dianyuan Fan
Opt. Lett. 43(21) 5327-5330 (2018)

References

  • View by:
  • |
  • |
  • |

  1. T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
    [Crossref] [PubMed]
  2. K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
    [Crossref]
  3. A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion,” Opt. Lett. 29(20), 2411–2413 (2004).
    [Crossref] [PubMed]
  4. A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
    [Crossref] [PubMed]
  5. D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E 72(1), 016619 (2005).
    [Crossref]
  6. A. V. Gorbach and D. V. Skryabin, “Bouncing of a dispersive pulse on an accelerating soliton and stepwise frequency conversion in optical fibers,” Opt. Express 15(22), 14560–14565 (2007).
    [Crossref] [PubMed]
  7. A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
    [Crossref] [PubMed]
  8. A. Choudhary and F. König, “Efficient frequency shifting of dispersive waves at solitons,” Opt. Express 20(5), 5538–5546 (2012).
    [Crossref] [PubMed]
  9. A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14481–14486 (2013).
    [Crossref]
  10. J. Gu, H. R. Guo, S. F. Wang, and X. L. Zeng, “Probe-controlled soliton frequency shift in the regime of optical event horizon,” Opt. Express 23(17), 22285–22290 (2015).
    [Crossref] [PubMed]
  11. L. Chu, E. J. Rees, L. Toni, S. S. Jian, and F. K. Clemens, “Periodic interactions between solitons and dispersive waves during the generation of non-coherent supercontinuum radiation,” Opt. Express 20(6), 6316–6324 (2012).
    [Crossref]
  12. A. Bendahmane, A. Mussot, M. Conforti, and A. Kudlinski, “Observation of the stepwise blue shift of a dispersive wave preceding its trapping by a soliton,” Opt. Express 23(13), 16595–16601 (2015).
    [Crossref]
  13. S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
    [Crossref]
  14. Z. X. Deng, X. Q. Fu, J. Liu, C. J. Zhao, and S. C. Wen, “Trapping and controlling the dispersive wave within a solitonic well,” Opt. Express,  24(10), 10302–10312 (2016).
    [Crossref] [PubMed]
  15. B. W. Plansinis, W. R. Donaldson, and G. P. Agrawal, “Temporal waveguides for optical pulses,” J. Opt. Soc. Am. B 33(6), 1112–1119 (2016).
    [Crossref]
  16. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
    [Crossref]
  17. A. Chong, W. H. Renninger, D. N. Christodoulides, and F.W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photon. 4(2), 103–106 (2010).
    [Crossref]
  18. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
    [Crossref] [PubMed]
  19. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007)
    [Crossref]
  20. J. X. Zhou, Y. C. Liu, Y. G. Ke, H. L. Luo, and S. C. Wen, “Generation of Airy vortex and Airy vector beams based on the modulation of dynamic and geometric phases,” Opt. Lett. 40(13), 3193–3196 (2015).
    [Crossref]
  21. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photon. 3(7), 395–398 (2009).
    [Crossref]
  22. 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]
  23. C. Ament, P. Polynkin, and J. V. Moloney, “Supercontinuum generation with femtosecond self-healing Airy pulses,” Phys. Rev. Lett. 107(24), 243901 (2011).
    [Crossref]
  24. 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]
  25. W. Y. Cai, L. Wang, and S. C Wen, “Evolution of airy pulses in the present of third order dispersion,” Optik 124(22), 5833–5836 (2013).
    [Crossref]
  26. 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]
  27. W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
    [Crossref]
  28. L. F. Zhang and H. Z. Zhong, “Modulation instability of finite energy Airy pulse in optical fiber,” Opt. Express 22(14), 17107–17115 (2014).
    [Crossref] [PubMed]
  29. X. W. Huang, X. H. Shi, Z. X. Deng, Y. F. Bai, and X. Q. Fu, “Potential barrier-induced dynamics of finite energy Airy beams in fractional Schrödinger equation,” Opt. Express 25(26), 32560–32569 (2017).
    [Crossref]
  30. T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
    [Crossref]
  31. J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation,” Opt. Express 17(24), 21497–21508 (2009).
    [Crossref] [PubMed]
  32. W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
    [Crossref]
  33. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2007).
  34. D. V. Skryabin and A. V. Gorbach, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
    [Crossref]
  35. L. F. Zhang, K. Liu, H. Z. Zhong, J. G. Zhang, Y. Li, and D. Y. Fan, “Effect of initial frequency chirp on Airy pulse propagation in an optical fiber,” Opt. Express 23(3), 2566–2576(2015).
    [Crossref] [PubMed]
  36. M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
    [Crossref] [PubMed]
  37. A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14481–14486(2013).
    [Crossref]

2018 (2)

W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
[Crossref]

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

2017 (1)

2016 (2)

2015 (6)

2014 (4)

L. F. Zhang and H. Z. Zhong, “Modulation instability of finite energy Airy pulse in optical fiber,” Opt. Express 22(14), 17107–17115 (2014).
[Crossref] [PubMed]

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
[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]

2013 (3)

2012 (2)

2011 (3)

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]

A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

2010 (3)

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

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]

D. V. Skryabin and A. V. Gorbach, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

2009 (2)

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

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation,” Opt. Express 17(24), 21497–21508 (2009).
[Crossref] [PubMed]

2008 (2)

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[Crossref] [PubMed]

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

2007 (3)

2005 (2)

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E 72(1), 016619 (2005).
[Crossref]

2004 (1)

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]

Agrawal, G. P.

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]

Amiranashvili, S.

A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Arie, A.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photon. 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]

Bai, Y. F.

Bendahmane, A.

Blow, K.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Böhm, M.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Broderick, N. G. R.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

Broky, J.

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[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]

Cai, W. Y.

W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
[Crossref]

W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
[Crossref]

W. Y. Cai, L. Wang, and S. C Wen, “Evolution of airy pulses in the present of third order dispersion,” Optik 124(22), 5833–5836 (2013).
[Crossref]

Chen, H.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[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. Photon. 4(2), 103–106 (2010).
[Crossref]

Choudhary, A.

Christodoulides, D. N.

W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
[Crossref]

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

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[Crossref] [PubMed]

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

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

Chu, L.

Clemens, F. K.

Conforti, M.

A. Bendahmane, A. Mussot, M. Conforti, and A. Kudlinski, “Observation of the stepwise blue shift of a dispersive wave preceding its trapping by a soliton,” Opt. Express 23(13), 16595–16601 (2015).
[Crossref]

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[Crossref]

Demircan, A.

A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Deng, Z. X.

Dias, F.

Dogariu, A.

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[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]

Donaldson, W. R.

Driben, R.

Dudley, J. M.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation,” Opt. Express 17(24), 21497–21508 (2009).
[Crossref] [PubMed]

Efimov, A.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Ellenbogen, T.

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

Erkintalo, M.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

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, D. Y.

Fattal, Y.

Fu, X. Q.

Ganany-Padowicz, A.

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

Genty, G.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation,” Opt. Express 17(24), 21497–21508 (2009).
[Crossref] [PubMed]

Giannone, D.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Gorbach, A. V.

D. V. Skryabin and A. V. Gorbach, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

A. V. Gorbach and D. V. Skryabin, “Bouncing of a dispersive pulse on an accelerating soliton and stepwise frequency conversion in optical fibers,” Opt. Express 15(22), 14560–14565 (2007).
[Crossref] [PubMed]

Gu, J.

Guo, H. R.

Han, T. W.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Haynes, R.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Hill, S.

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Huang, X. W.

Jian, S. S.

Joly, N.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Ke, Y. G.

Kibler, B.

Knight, J. C.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

König, F.

A. Choudhary and F. König, “Efficient frequency shifting of dispersive waves at solitons,” Opt. Express 20(5), 5538–5546 (2012).
[Crossref] [PubMed]

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Kudlinski, A.

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[Crossref]

A. Bendahmane, A. Mussot, M. Conforti, and A. Kudlinski, “Observation of the stepwise blue shift of a dispersive wave preceding its trapping by a soliton,” Opt. Express 23(13), 16595–16601 (2015).
[Crossref]

Kuklewicz, C.

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Leonhardt, U.

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Li, W. W.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Li, Y.

Liu, J.

Liu, K.

Liu, Y. C.

Lu, P. X.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Luo, H. L.

Malomed, B. A.

Marom, D. M.

Mills, M. S.

W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
[Crossref]

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]

Murdoch, S. G.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

Mussot, A.

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[Crossref]

A. Bendahmane, A. Mussot, M. Conforti, and A. Kudlinski, “Observation of the stepwise blue shift of a dispersive wave preceding its trapping by a soliton,” Opt. Express 23(13), 16595–16601 (2015).
[Crossref]

Omenetto, F. G.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

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]

Philbin, T. G.

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Plansinis, B. W.

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]

Qin, C. Z.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Rees, E. J.

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. Photon. 4(2), 103–106 (2010).
[Crossref]

Rieznik, A. A.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Robertson, S.

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Roth, M. M.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Rudnick, A.

Russell, P. St. J.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion,” Opt. Lett. 29(20), 2411–2413 (2004).
[Crossref] [PubMed]

Shi, X. H.

Siviloglou, G. A.

Skryabin, D. V.

Steinmeyer, G.

A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[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]

Taylor, A. J.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Toni, L.

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]

Voloch-Bloch, N.

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

Wang, B.

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Wang, L.

W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
[Crossref]

W. Y. Cai, L. Wang, and S. C Wen, “Evolution of airy pulses in the present of third order dispersion,” Optik 124(22), 5833–5836 (2013).
[Crossref]

Wang, S. F.

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[Crossref]

J. Gu, H. R. Guo, S. F. Wang, and X. L. Zeng, “Probe-controlled soliton frequency shift in the regime of optical event horizon,” Opt. Express 23(17), 22285–22290 (2015).
[Crossref] [PubMed]

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]

Webb, K. E.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

Wen, S. C

W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
[Crossref]

W. Y. Cai, L. Wang, and S. C Wen, “Evolution of airy pulses in the present of third order dispersion,” Optik 124(22), 5833–5836 (2013).
[Crossref]

Wen, S. C.

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. Photon. 4(2), 103–106 (2010).
[Crossref]

Xu, Y.

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

Yulin, A. V.

Zajnulina, M.

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

Zeng, X. L.

J. Gu, H. R. Guo, S. F. Wang, and X. L. Zeng, “Probe-controlled soliton frequency shift in the regime of optical event horizon,” Opt. Express 23(17), 22285–22290 (2015).
[Crossref] [PubMed]

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[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]

Zhang, J. G.

Zhang, L. F.

Zhao, C. J.

Zhong, H. Z.

Zhou, J. X.

Chaos (1)

M. Zajnulina, M. Böhm, K. Blow, A. A. Rieznik, D. Giannone, R. Haynes, and M. M. Roth, “Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers,” Chaos 25(10), 103104 (2015).
[Crossref] [PubMed]

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

Nat. Commun. (1)

K. E. Webb, M. Erkintalo, Y. Xu, N. G. R. Broderick, J. M. Dudley, G. Genty, and S. G. Murdoch, “Nonlinear optics of fibre event horizons,” Nat. Commun. 5, 4969(2014).
[Crossref]

Nat. Photon. (2)

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

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

Opt. Commun. (2)

W. Y. Cai, L. Wang, and S. C Wen, “Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers,” Opt. Commun. 413, 24–29 (2018).
[Crossref]

W. Y. Cai, M. S. Mills, D. N. Christodoulides, and S. C. Wen, “Soliton manipulation using Airy pulses,” Opt. Commun. 316, 127–131 (2014).
[Crossref]

Opt. Express (14)

Z. X. Deng, X. Q. Fu, J. Liu, C. J. Zhao, and S. C. Wen, “Trapping and controlling the dispersive wave within a solitonic well,” Opt. Express,  24(10), 10302–10312 (2016).
[Crossref] [PubMed]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation,” Opt. Express 17(24), 21497–21508 (2009).
[Crossref] [PubMed]

A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14481–14486(2013).
[Crossref]

L. F. Zhang, K. Liu, H. Z. Zhong, J. G. Zhang, Y. Li, and D. Y. Fan, “Effect of initial frequency chirp on Airy pulse propagation in an optical fiber,” Opt. Express 23(3), 2566–2576(2015).
[Crossref] [PubMed]

L. F. Zhang and H. Z. Zhong, “Modulation instability of finite energy Airy pulse in optical fiber,” Opt. Express 22(14), 17107–17115 (2014).
[Crossref] [PubMed]

X. W. Huang, X. H. Shi, Z. X. Deng, Y. F. Bai, and X. Q. Fu, “Potential barrier-induced dynamics of finite energy Airy beams in fractional Schrödinger equation,” Opt. Express 25(26), 32560–32569 (2017).
[Crossref]

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]

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[Crossref] [PubMed]

A. V. Gorbach and D. V. Skryabin, “Bouncing of a dispersive pulse on an accelerating soliton and stepwise frequency conversion in optical fibers,” Opt. Express 15(22), 14560–14565 (2007).
[Crossref] [PubMed]

A. Choudhary and F. König, “Efficient frequency shifting of dispersive waves at solitons,” Opt. Express 20(5), 5538–5546 (2012).
[Crossref] [PubMed]

A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14481–14486 (2013).
[Crossref]

J. Gu, H. R. Guo, S. F. Wang, and X. L. Zeng, “Probe-controlled soliton frequency shift in the regime of optical event horizon,” Opt. Express 23(17), 22285–22290 (2015).
[Crossref] [PubMed]

L. Chu, E. J. Rees, L. Toni, S. S. Jian, and F. K. Clemens, “Periodic interactions between solitons and dispersive waves during the generation of non-coherent supercontinuum radiation,” Opt. Express 20(6), 6316–6324 (2012).
[Crossref]

A. Bendahmane, A. Mussot, M. Conforti, and A. Kudlinski, “Observation of the stepwise blue shift of a dispersive wave preceding its trapping by a soliton,” Opt. Express 23(13), 16595–16601 (2015).
[Crossref]

Opt. Lett. (3)

Opt. letters (1)

S. F. Wang, A. Mussot, M. Conforti, X. L. Zeng, and A. Kudlinski, “Bouncing of a dispersive wave in a solitonic cage,” Opt. letters,  40(14), 3320–3323 (2015).
[Crossref]

Optik (1)

W. Y. Cai, L. Wang, and S. C Wen, “Evolution of airy pulses in the present of third order dispersion,” Optik 124(22), 5833–5836 (2013).
[Crossref]

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]

T. W. Han, H. Chen, C. Z. Qin, W. W. Li, B. Wang, and P. X. Lu, “Airy pulse shaping using time-dependent power-law potentials,” Phys. Rev. A 97(6), 063815 (2018).
[Crossref]

Phys. Rev. E (1)

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E 72(1), 016619 (2005).
[Crossref]

Phys. Rev. Lett. (5)

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. St. J. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[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]

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]

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

Rev. Mod. Phys. (1)

D. V. Skryabin and A. V. Gorbach, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

Science (1)

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, and U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319(5868), 1367–1370 (2008).
[Crossref] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2007).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1 Simulated spectral (a) and temporal (b) evolutions of an Airy horizon. (c)–(f) Four FROG traces of the Airy pulse at 0 m, 7 m, 14 m, and 20 m. Two horizontal black lines denote the incident and converted wavelengths.
Fig. 2
Fig. 2 (a) and (c) are the output spectra and temporal profiles of the Airy pulse in the presence of Raman effect. The gray line in (a) is the output spectrum of a hyperbolic secant input pulse. Simulated spectral (b) and temporal (d) evolutions of an Airy horizon. (e)–(h) Four FROG traces of the Airy pulse at 4 m, 6 m, 10 m, and 12 m.
Fig. 3
Fig. 3 (a) The PM curve between the soliton and the probe wave (Airy pulse) predicted by Eq. (4), with ω = 0 corresponding to the soliton (1.26 μm) frequency. (b) The zoom-in curves of the dotted box in Fig. 2(a). Dotted lines in (a) and (b) are the soliton wave numbers ks for different wavelengths (frequencies). Solid lines in (a) and (b) correspond to the FWM resonances (J = −1) given by Eq. (4). (c) The corresponding wavelengths of the soliton and the converted Airy pulse along with the distance.
Fig. 4
Fig. 4 Simulated spectral (a) and temporal (b) evolution of a “maximally compressed” AB with four lobes in the regime of fiber event horizon, (c) Input (blue line) and output (red line) temporal profiles of the AB, (d) Output spectra profiles of the AB; Simulated spectral (e) and temporal (f) evolution of a “maximally compressed” AB with eight lobes in the regime of fiber event horizon in the absence of Raman effect, (g) Input (blue line) and output (red line) temporal profiles of the AB, (h) Output spectra profiles of the AB.
Fig. 5
Fig. 5 Initial Airy durations with 100 fs (green), 300 fs (blue), 500 fs (red), as well as 700 fs (black). (a) Output temporal of Airy pulses without Raman effect. (b) Output spectral of Airy pulses with Raman effect. (c), (d) and (e) are central wavelength of each comb, the comb spectrum spaces between adjacent lobes and spectrum bandwidth of each comb, respectively.
Fig. 6
Fig. 6 Simulated spectral (a) and temporal (b) evolutions of an Airy horizon in the absence of Raman effect. (c)–(f) The spectral and temporal output the Airy pulse at 0 m, 20 m, 50 m and 67 m, respectively (blue solid line: temporal, red dotted line: spectral).

Equations (9)

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

A ( z , T ) z = 1 ( D ( ω ) A ˜ ( z , ω ) ) + i γ ( 1 + i ω 0 T ) A ( z , T ) + R ( T T ) | A ( z , T ) | 2 d T ,
i F z n 2 ω n β n n ! n F t n = γ | A s | 2 F p γ A s 2 F p *
k ( ω ) = k s ( ω ) + J [ k s ( ω p ) k ( ω p ) ] , J = ± 1 , 0
k s ( ω ) = k ( ω ω s ) = n 2 β n / n ! [ ω ω s ] n = β ( ω ) β 0 β 1 [ ω ω s ]
A ( T , z = 0 ) = Ai ( T ) exp ( α T ) , 0 < α < < 1 ,
A ˜ 0 = exp ( α ω 2 ) exp [ i 3 ( ω 3 3 α 2 ω i α 3 ) ] .
A ( 0 , T ) = P 0 sec h ( T T 0 ) + P 1 Ai ( T + Δ τ T 1 ) exp ( α T + Δ τ T 1 ) exp ( i Δ ω T ) ,
A ( z = 0 , T ) = p 0 ( 1 4 a ) + 2 a cos ( ω mod T ) 2 a cos ( ω mod T ) 1
ω s z ( ω p ω r ) I | D p | / Q s D d D ( ω ) / d ω

Metrics