Abstract

We have investigated and analyzed the modulation instability (MI) of finite energy Airy pulse (FEAP) in an optical fiber in order to reveal the impact of truncation coefficient on the nonlinear propagation dynamics of FEAP with or without amplitude perturbation. We have also characterized the difference between the propagation process of smooth FEAP and that of modulated FEAP. It is shown that, for a smooth FEAP, the side lobes prior to the main lobe first undergo compression and then break up into multiple sub-pulses during propagation in the case of small truncation coefficient; while the opposite occurs in the case of large truncation coefficient. For a FEAP with amplitude modulation, the breakup of the main lobe induced by MI precedes that of side lobes for arbitrary values of truncation coefficients; but the evolution of secondary lobes is made by a transition from splitting process to a simple compression process with increasing truncation coefficient. The propagation dynamics of secondary lobes with number symbol larger 2, marked the secondary lobes starting number 1 from near to far according the distance between itself and the main lobe, is insensitive to the truncation coefficients variation in both cases. Finally, the MI gain spectra of FEAP with different truncation coefficients are obtained by numerically solving the nonlinear Schrödinger equation and the results have been compared with the theoretical predictions.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
    [Crossref] [PubMed]
  2. 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]
  3. Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airy Beams: Generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds, (Springer, 2012), 1–46.
  4. C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
    [Crossref]
  5. P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
    [Crossref]
  6. P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
    [Crossref]
  7. M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
    [Crossref]
  8. 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]
  9. 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]
  10. J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
    [Crossref]
  11. 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]
  12. 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]
  13. P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
    [Crossref] [PubMed]
  14. P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
    [Crossref] [PubMed]
  15. P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
    [Crossref]
  16. 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]
  17. 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]
  18. A. Chong, W. 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]
  19. 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]
  20. I. Kaminer, Y. Lumer, M. Segev, and D. N. Christodoulides, “Causality effects on accelerating light pulses,” Opt. Express 19(23), 23132–23139 (2011).
    [Crossref] [PubMed]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. L. Zhang, J. Zhang, Y. Chen, A. Liu, and G. Liu, “Dynamic propagation of finite-energy Airy pulses in the presence of higher-order effects,” J. Opt. Soc. Am. B 31(4), 889–897 (2014).
    [Crossref]
  26. S. Wang, D. Fan, X. Bai, and X. Zeng, “Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation,” Phys. Rev. A 89(2), 023802 (2014).
    [Crossref]
  27. V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238(5), 540–548 (2009).
    [Crossref]
  28. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic Press, 2001).
  29. M. J. Potasek, “Modulation instability in an extended nonlinear Schrödinger equation,” Opt. Lett. 12(11), 921–923 (1987).
    [Crossref] [PubMed]
  30. N. C. Kothari and S. C. Abbi, “Instability growth and filamentation of very intense laser beams in self-focusing media,” Prog. Theor. Phys. 83(3), 414–442 (1990).
    [Crossref]
  31. R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
    [Crossref]
  32. L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
    [Crossref] [PubMed]
  33. S. C. Wen and D. Y. Fan, “Spatiotemporal instabilities in nonlinear Kerr media in the presence of arbitrary higher-order dispersions,” J. Opt. Soc. Am. B 19(7), 1653–1659 (2002).
    [Crossref]
  34. L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
    [Crossref]
  35. S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
    [Crossref] [PubMed]
  36. S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Role of the anomalous self-steepening effect in modulation instability in negative-index material,” Opt. Express 14(4), 1568–1575 (2006).
    [Crossref] [PubMed]
  37. Y. Xiang, X. Dai, S. Wen, and D. Fan, “Modulation instability in metamaterials with saturable nonlinearity,” J. Opt. Soc. Am. B 28(4), 908–916 (2011).
    [Crossref]
  38. Y. Xiang, S. Wen, X. Dai, Z. Tang, W. Su, and D. Fan, “Modulation instability induced by nonlinear dispersion in nonlinear metamaterials,” J. Opt. Soc. Am. B 24(12), 3058–3063 (2007).
    [Crossref]
  39. X. Dai, Y. Xiang, S. Wen, and D. Fan, “Modulation instability of copropagating light beams in nonlinear metamaterials,” J. Opt. Soc. Am. B 26(4), 564–571 (2009).
    [Crossref]
  40. D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
    [Crossref] [PubMed]
  41. 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]
  42. M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
    [Crossref]
  43. P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
    [Crossref] [PubMed]
  44. D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
    [Crossref]
  45. A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
    [Crossref]
  46. A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
    [Crossref]

2014 (2)

L. Zhang, J. Zhang, Y. Chen, A. Liu, and G. Liu, “Dynamic propagation of finite-energy Airy pulses in the presence of higher-order effects,” J. Opt. Soc. Am. B 31(4), 889–897 (2014).
[Crossref]

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

2013 (6)

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]

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]

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

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

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]

2012 (2)

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

2011 (6)

2010 (4)

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

A. Chong, W. 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]

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]

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
[Crossref]

2009 (6)

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]

X. Dai, Y. Xiang, S. Wen, and D. Fan, “Modulation instability of copropagating light beams in nonlinear metamaterials,” J. Opt. Soc. Am. B 26(4), 564–571 (2009).
[Crossref]

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238(5), 540–548 (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]

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

2008 (3)

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]

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]

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

2007 (7)

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]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Y. Xiang, S. Wen, X. Dai, Z. Tang, W. Su, and D. Fan, “Modulation instability induced by nonlinear dispersion in nonlinear metamaterials,” J. Opt. Soc. Am. B 24(12), 3058–3063 (2007).
[Crossref]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

2006 (2)

S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
[Crossref] [PubMed]

S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Role of the anomalous self-steepening effect in modulation instability in negative-index material,” Opt. Express 14(4), 1568–1575 (2006).
[Crossref] [PubMed]

2002 (1)

1997 (1)

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

1992 (1)

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

1990 (1)

N. C. Kothari and S. C. Abbi, “Instability growth and filamentation of very intense laser beams in self-focusing media,” Prog. Theor. Phys. 83(3), 414–442 (1990).
[Crossref]

1987 (1)

1979 (1)

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

Abbi, S. C.

N. C. Kothari and S. C. Abbi, “Instability growth and filamentation of very intense laser beams in self-focusing media,” Prog. Theor. Phys. 83(3), 414–442 (1990).
[Crossref]

Abdollahpour, D.

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[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] [PubMed]

Agrawal, G. P.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

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]

Azaña, J.

Baboiu, D. M.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Bai, X.

S. Wang, D. Fan, X. Bai, and X. 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, C. M. A.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

Bandres, M. A.

Baumgartl, J.

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

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]

Bongiovanni, D.

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] [PubMed]

Cao, X. D.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

Chen, Y.

Chen, Z.

Chong, A.

A. Chong, W. 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.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

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]

I. Kaminer, Y. Lumer, M. Segev, and D. N. Christodoulides, “Causality effects on accelerating light pulses,” Opt. Express 19(23), 23132–23139 (2011).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
[Crossref]

A. Chong, W. 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]

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] [PubMed]

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

Clerici, M.

Couairon, A.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

Couairona, A.

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Dai, X.

Deng, J.

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

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.

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

Di Trapani, P.

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

Dias, F.

Diebel, F.

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

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] [PubMed]

Driben, R.

Dubietis, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

Dudley, J. M.

Efremidis, N. K.

Faccio, D.

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[Crossref]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

Faccioe, D.

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Fan, D.

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

Y. Xiang, X. Dai, S. Wen, and D. Fan, “Modulation instability in metamaterials with saturable nonlinearity,” J. Opt. Soc. Am. B 28(4), 908–916 (2011).
[Crossref]

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

X. Dai, Y. Xiang, S. Wen, and D. Fan, “Modulation instability of copropagating light beams in nonlinear metamaterials,” J. Opt. Soc. Am. B 26(4), 564–571 (2009).
[Crossref]

Y. Xiang, S. Wen, X. Dai, Z. Tang, W. Su, and D. Fan, “Modulation instability induced by nonlinear dispersion in nonlinear metamaterials,” J. Opt. Soc. Am. B 24(12), 3058–3063 (2007).
[Crossref]

S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
[Crossref] [PubMed]

S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Role of the anomalous self-steepening effect in modulation instability in negative-index material,” Opt. Express 14(4), 1568–1575 (2006).
[Crossref] [PubMed]

Fan, D. Y.

Fattal, Y.

Fu, X.

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
[Crossref] [PubMed]

S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Role of the anomalous self-steepening effect in modulation instability in negative-index material,” Opt. Express 14(4), 1568–1575 (2006).
[Crossref] [PubMed]

Fuerst, R. A.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Genty, G.

Greenfield, E.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

Gutiérrez-Vega, J. C.

Hu, Y.

Jalali, B.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Kaminer, I.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

I. Kaminer, Y. Lumer, M. Segev, and D. N. Christodoulides, “Causality effects on accelerating light pulses,” Opt. Express 19(23), 23132–23139 (2011).
[Crossref] [PubMed]

Kibler, B.

Kolesik, M.

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (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]

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

Koonath, P.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Kothari, N. C.

N. C. Kothari and S. C. Abbi, “Instability growth and filamentation of very intense laser beams in self-focusing media,” Prog. Theor. Phys. 83(3), 414–442 (1990).
[Crossref]

Lawrence, B.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Li, M.

Liou, L. W.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

Liu, A.

Liu, G.

Lotti, A.

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[Crossref]

Lottia, A.

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Lumer, Y.

Malomed, B. A.

Marom, D. M.

Mazilu, M.

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

McKinstrie, C. J.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

Mills, M.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

Mills, M. S.

Moloney, J.

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
[Crossref]

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.

Ostrovsky, L. A.

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238(5), 540–548 (2009).
[Crossref]

Panagiotopoulos, P.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[Crossref]

Panagiotopoulosc, P.

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Papazoglou, D. G.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[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] [PubMed]

Papazoglouc, D. G.

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Parola, A.

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

Piskarskas, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

Polesana, P.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[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, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (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]

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

Porras, M. A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (2007).
[Crossref] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

Potasek, M. J.

Prakash, J.

Renninger, W.

A. Chong, W. 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]

Rodríguez-Lara, B. M.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

Ropers, C.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

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.

Segev, M.

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

I. Kaminer, Y. Lumer, M. Segev, and D. N. Christodoulides, “Causality effects on accelerating light pulses,” Opt. Express 19(23), 23132–23139 (2011).
[Crossref] [PubMed]

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]

Siviloglou, G.

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
[Crossref]

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]

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] [PubMed]

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

Solli, D. R.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Stegeman, G. I.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Su, W.

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]

Tang, D. Y.

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

Tang, Z.

Torruellas, W. E.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Trillo, S.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Tzortzakis, S.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[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] [PubMed]

Wabnitz, S.

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

Wang, S.

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

Wang, Y.

S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
[Crossref] [PubMed]

Wen, S.

Wen, S. C.

Wise, F. W.

A. Chong, W. 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]

Wu, X.

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

Xiang, Y.

Yao, J.

Zakharov, V. E.

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238(5), 540–548 (2009).
[Crossref]

Zeng, X.

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

Zhang, H.

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

Zhang, J.

L. Zhang, J. Zhang, Y. Chen, A. Liu, and G. Liu, “Dynamic propagation of finite-energy Airy pulses in the presence of higher-order effects,” J. Opt. Soc. Am. B 31(4), 889–897 (2014).
[Crossref]

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

Zhang, L.

L. Zhang, J. Zhang, Y. Chen, A. Liu, and G. Liu, “Dynamic propagation of finite-energy Airy pulses in the presence of higher-order effects,” J. Opt. Soc. Am. B 31(4), 889–897 (2014).
[Crossref]

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

Zhang, P.

Zhang, Z.

Zhao, L. M.

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[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. Opt. Soc. Am. B (5)

Nat Commun (1)

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets,” Nat Commun 4, 2622 (2013).
[Crossref] [PubMed]

Nat. Photonics (2)

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

A. Chong, W. 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]

Nature (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Opt. & Photon. News (2)

C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating optical beams,” Opt. & Photon. News 24(6), 30–37 (2013).
[Crossref]

P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. & Photon. News 21(9), 38–43 (2010).
[Crossref]

Opt. Commun. (1)

L. Zhang, S. Wen, X. Fu, J. Deng, J. Zhang, and D. Fan, “Spatiotemporal instability in dispersive nonlinear Kerr medium with a finite response time,” Opt. Commun. 283(10), 2251–2257 (2010).
[Crossref]

Opt. Express (6)

Opt. Lett. (6)

Phys. Rev. A (6)

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

M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76(1), 011803 (2007).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46(7), 4202–4208 (1992).
[Crossref] [PubMed]

D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, “Soliton modulation instability in fiber lasers,” Phys. Rev. A 80(2), 023806 (2009).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84(2), 021807 (2011).
[Crossref]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

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]

S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(3), 036617 (2006).
[Crossref] [PubMed]

Phys. Rev. Lett. (6)

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78(14), 2756–2759 (1997).
[Crossref]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr Media,” Phys. Rev. Lett. 99(22), 223902 (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]

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

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]

Physica D (1)

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238(5), 540–548 (2009).
[Crossref]

Proc. SPIE (1)

A. Couairona, A. Lottia, P. Panagiotopoulosc, D. Abdollahpour, D. Faccioe, D. G. Papazoglouc, and S. Tzortzakis, “Nonlinear propagation and filamentation of intense Airy beams in transparent media,” Proc. SPIE 8434, 84340S (2012).
[Crossref]

Prog. Theor. Phys. (1)

N. C. Kothari and S. C. Abbi, “Instability growth and filamentation of very intense laser beams in self-focusing media,” Prog. Theor. Phys. 83(3), 414–442 (1990).
[Crossref]

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 (2)

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airy Beams: Generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds, (Springer, 2012), 1–46.

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

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 (4)

Fig. 1
Fig. 1

Contour maps of temporal evolution of four FEAPs with different modulation depth, (left column) α=0 and (right column) α=0.05 , and different truncation coefficients: (a, e) a = 0.01, (b, f) a = 0.05, (c, g) a = 0.10 and (d, h) a = 0.15.

Fig. 2
Fig. 2

Pulse shapes of smooth FEAPs with truncation coefficient a = 0.01 (left column) and a = 0.10 (right column) at output of different propagation distances.

Fig. 3
Fig. 3

The maximum intensity evolution of FEAPs with (dash-dot lines) and without (solid lines) modulation as a function of propagation distance for different truncation coefficients (a) a = 0.01, (b) a = 0.05, (c) a = 0.10, and (d) a = 0.15.

Fig. 4
Fig. 4

(a) Calculated gain spectra of MI of FEAPs with different truncation coefficients. (b) Normalized gain of theoretical results and the FEAPs with different truncation coefficients.

Equations (5)

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

i U Z + 1 2 2 U T 2 + N 2 | U | 2 U=0.
T= ( tz/ v g ) / t 0 , Z=z/ L D , N= γ P 0 L D ,
g( Ω )=1/ L D Ω 2 ( Ω c 2 Ω 2 ) .
U( Z,T )=[ 1+αcos( ΩT ) ]F( a )Airy( T )exp( aT ),
g= ln( output amplitude / intput amplitude ) Z .

Metrics