Abstract

We study both analytically and numerically the propagation dynamics of an initially chirped Airy pulse in an optical fiber. It is found that the linear propagation of an initially chirped Airy pulse depends considerably on whether the second-order dispersion parameter β2 and chirp C have the same or opposite signs. For β2C<0, the chirped Airy pulse first undergoes an initial compression phase, then reaches a breakup area as depending on the values of C, and then experiences a lossy inversion transformation such that it continues to propagate with an opposite acceleration. The chirped Airy pulse is always dispersed during propagation in the case of β2C>0. The impact of truncation coefficient and Kerr nonlinearity on the chirped Airy pulse propagation is also disclosed separately.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Modulation instability of finite energy Airy pulse in optical fiber

Lifu Zhang and Haizhe Zhong
Opt. Express 22(14) 17107-17115 (2014)

Evolution of finite energy Airy pulses and soliton generation in optical fibers with cubic-quintic nonlinearity

Xianqiong Zhong, Xiantong Du, and Ke Cheng
Opt. Express 23(23) 29467-29475 (2015)

Soliton shedding from Airy pulses in Kerr media

Yiska Fattal, Amitay Rudnick, and Dan M. Marom
Opt. Express 19(18) 17298-17307 (2011)

References

  • View by:
  • |
  • |
  • |

  1. M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
    [Crossref]
  2. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
    [Crossref] [PubMed]
  3. 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]
  4. P. Polynkin, M. Kolesik, J. Moloney, G. Siviloglou, and D. N. Christodoulides, “Extreme nonlinear optics with ultra-intense self-bending Airy beams,” Opt. and Photon. News 21(9), 38–43 (2010).
    [Crossref]
  5. 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, New York, 2012), 1–46.
  6. C. M. A. Bandres, I. Kaminer, M. Mills, B. M. Rodríguez-Lara, E. Greenfield, M. Segev, and D. N. Christodoulides, “Accelerating Optical Beams,” Opt. and Photon. News 24(6), 30–37 (2013).
    [Crossref]
  7. 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]
  8. 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]
  9. P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
    [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).
    [PubMed]
  12. T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
    [Crossref] [PubMed]
  13. S. Jia, J. C. Vaughan, and X. Zhuang, “Isotropic three-dimensional super-resolution imaging with a self-bending point spread function,” Nat. Photonics 8(4), 302–306 (2014).
    [Crossref] [PubMed]
  14. P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
    [Crossref]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  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. 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. 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]
  27. L. Zhang, H. Zhong, Y. Li, and D. Fan, “Manipulation of Raman-induced frequency shift by use of asymmetric self-accelerating Airy pulse,” Opt. Express 22(19), 22598–22607 (2014).
    [Crossref] [PubMed]
  28. 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]
  29. Y. Zhang, M. Belić, Z. Wu, H. Zheng, K. Lu, Y. Li, and Y. Zhang, “Soliton pair generation in the interactions of Airy and nonlinear accelerating beams,” Opt. Lett. 38(22), 4585–4588 (2013).
    [Crossref] [PubMed]
  30. L. Zhang and H. Zhong, “Modulation instability of finite energy Airy pulse in optical fiber,” Opt. Express 22(14), 17107–17115 (2014).
    [Crossref] [PubMed]
  31. X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
    [Crossref] [PubMed]
  32. L. Bergé, J. J. Rasmussen, E. A. Kuznetsov, E. G. Shapiro, and S. K. Turitsyn, “Self-focusing of chirped optical pulses in media with normal dispersion,” J. Opt. Soc. Am. B 13(9), 1879–1891 (1996).
    [Crossref]
  33. L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
    [Crossref]
  34. J. Kasparian, R. Sauerbrey, D. Mondelain, S. Niedermeier, J. Yu, J.-P. Wolf, Y.-B. André, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, M. Rodriguez, H. Wille, and L. Wöste, “Infrared extension of the super continuum generated by femtosecond terawatt laser pulses propagating in the atmosphere,” Opt. Lett. 25(18), 1397–1399 (2000).
    [Crossref] [PubMed]
  35. V. Kartazaev and R. R. Alfano, “Supercontinuum generated in calcite with chirped femtosecond pulses,” Opt. Lett. 32(22), 3293–3295 (2007).
    [Crossref] [PubMed]
  36. R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30(8), 917–919 (2005).
    [Crossref] [PubMed]
  37. A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2–4), 47–189 (2007).
    [Crossref]
  38. J. Park, J. H. Lee, and C. H. Nam, “Laser chirp effect on femtosecond laser filamentation generated for pulse compression,” Opt. Express 16(7), 4465–4470 (2008).
    [Crossref] [PubMed]
  39. C. Milián, A. Jarnac, Y. Brelet, V. Jukna, A. Houard, A. Mysyrowicz, and A. Couairon, “Effect of input pulse chirp on nonlinear energy deposition and plasma excitation in water,” J. Opt. Soc. Am. B 31(11), 2829–2837 (2014).
    [Crossref]
  40. J. D. McMullen, “Chirped-pulse compression in strongly dispersive media,” J. Opt. Soc. Am. 67(11), 1575–1578 (1977).
    [Crossref]
  41. M. Miyagi and S. Nishida, “Pulse spreading in a single-mode fiber due to third-order dispersion,” Appl. Opt. 18(5), 678–682 (1979).
    [Crossref] [PubMed]
  42. G. P. Agrawal, Nonlinear Fiber Optics, 4ed. (Academic Press, 2007).

2014 (7)

2013 (6)

Y. Zhang, M. Belić, Z. Wu, H. Zheng, K. Lu, Y. Li, and Y. Zhang, “Soliton pair generation in the interactions of Airy and nonlinear accelerating beams,” Opt. Lett. 38(22), 4585–4588 (2013).
[Crossref] [PubMed]

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]

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

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

2012 (1)

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]

2011 (6)

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]

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. 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).
[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]

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]

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

2010 (3)

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

2009 (2)

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]

2008 (4)

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

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. Park, J. H. Lee, and C. H. Nam, “Laser chirp effect on femtosecond laser filamentation generated for pulse compression,” Opt. Express 16(7), 4465–4470 (2008).
[Crossref] [PubMed]

2007 (4)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2–4), 47–189 (2007).
[Crossref]

V. Kartazaev and R. R. Alfano, “Supercontinuum generated in calcite with chirped femtosecond pulses,” Opt. Lett. 32(22), 3293–3295 (2007).
[Crossref] [PubMed]

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]

2005 (1)

2000 (1)

1996 (1)

1994 (1)

X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
[Crossref] [PubMed]

1979 (2)

1977 (1)

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. 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.

X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
[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]

André, Y.-B.

Azaña, J.

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. and Photon. News 24(6), 30–37 (2013).
[Crossref]

Baumgartl, J.

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

Belic, M.

Bergé, L.

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.

Brelet, Y.

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.

X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
[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. and 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).
[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. and 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 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]

Cižmár, T.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Clerici, M.

Coll-Lladó, C.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Couairon, A.

C. Milián, A. Jarnac, Y. Brelet, V. Jukna, A. Houard, A. Mysyrowicz, and A. Couairon, “Effect of input pulse chirp on nonlinear energy deposition and plasma excitation in water,” J. Opt. Soc. Am. B 31(11), 2829–2837 (2014).
[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. 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]

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2–4), 47–189 (2007).
[Crossref]

Dalgarno, H. I.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Deng, J.

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[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.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

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

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.

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]

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]

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

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

Fattal, Y.

Ferrier, D. E.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Franco, M.

Fu, X.

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

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. and Photon. News 24(6), 30–37 (2013).
[Crossref]

Gunn-Moore, F. J.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Houard, A.

Hu, Y.

Jarnac, A.

Jia, S.

S. Jia, J. C. Vaughan, and X. Zhuang, “Isotropic three-dimensional super-resolution imaging with a self-bending point spread function,” Nat. Photonics 8(4), 302–306 (2014).
[Crossref] [PubMed]

Jukna, V.

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. and 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]

Kartazaev, V.

Kasparian, J.

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. and 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]

Kuznetsov, E. A.

Lee, J. H.

Li, M.

Li, Y.

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]

Lu, K.

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.

X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
[Crossref] [PubMed]

McMullen, J. D.

Milián, C.

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. and Photon. News 24(6), 30–37 (2013).
[Crossref]

Mills, M. S.

Miyagi, M.

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. and 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]

Mondelain, D.

Morandotti, R.

Mysyrowicz, A.

Nam, C. H.

Niedermeier, S.

Nishida, S.

Nuter, R.

Nylk, J.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

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]

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]

Park, J.

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. and 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]

Prade, B.

Prakash, J.

Rasmussen, J. 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]

Rodriguez, M.

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. and Photon. News 24(6), 30–37 (2013).
[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.

Sauerbrey, R.

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. and 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]

Shapiro, E. G.

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. and 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 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]

Skupin, S.

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]

Turitsyn, S. K.

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. 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]

J. Kasparian, R. Sauerbrey, D. Mondelain, S. Niedermeier, J. Yu, J.-P. Wolf, Y.-B. André, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, M. Rodriguez, H. Wille, and L. Wöste, “Infrared extension of the super continuum generated by femtosecond terawatt laser pulses propagating in the atmosphere,” Opt. Lett. 25(18), 1397–1399 (2000).
[Crossref] [PubMed]

Vaughan, J. C.

S. Jia, J. C. Vaughan, and X. Zhuang, “Isotropic three-dimensional super-resolution imaging with a self-bending point spread function,” Nat. Photonics 8(4), 302–306 (2014).
[Crossref] [PubMed]

Vettenburg, T.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

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]

Wen, S.

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

Wille, H.

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]

Wolf, J.-P.

Wöste, L.

Wu, Z.

Yao, J.

Yu, J.

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, 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, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

Zhang, L.

Zhang, P.

Zhang, Y.

Zhang, Z.

Zheng, H.

Zhong, H.

Zhuang, X.

S. Jia, J. C. Vaughan, and X. Zhuang, “Isotropic three-dimensional super-resolution imaging with a self-bending point spread function,” Nat. Photonics 8(4), 302–306 (2014).
[Crossref] [PubMed]

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. 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. (1)

L. Zhang, X. Fu, J. Deng, J. Zhang, S. Wen, and D. Fan, “Role of chirp in spatiotemporal instability of broadband pulsed laser,” J. Opt. 13(1), 015203 (2011).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (3)

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. Methods (1)

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Nat. Photonics (3)

S. Jia, J. C. Vaughan, and X. Zhuang, “Isotropic three-dimensional super-resolution imaging with a self-bending point spread function,” Nat. Photonics 8(4), 302–306 (2014).
[Crossref] [PubMed]

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]

Opt. and 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. and 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. and Photon. News 21(9), 38–43 (2010).
[Crossref]

Opt. Express (6)

Opt. Lett. (8)

Y. Zhang, M. Belić, Z. Wu, H. Zheng, K. Lu, Y. Li, and Y. Zhang, “Soliton pair generation in the interactions of Airy and nonlinear accelerating beams,” Opt. Lett. 38(22), 4585–4588 (2013).
[Crossref] [PubMed]

J. Kasparian, R. Sauerbrey, D. Mondelain, S. Niedermeier, J. Yu, J.-P. Wolf, Y.-B. André, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, M. Rodriguez, H. Wille, and L. Wöste, “Infrared extension of the super continuum generated by femtosecond terawatt laser pulses propagating in the atmosphere,” Opt. Lett. 25(18), 1397–1399 (2000).
[Crossref] [PubMed]

V. Kartazaev and R. R. Alfano, “Supercontinuum generated in calcite with chirped femtosecond pulses,” Opt. Lett. 32(22), 3293–3295 (2007).
[Crossref] [PubMed]

R. Nuter, S. Skupin, and L. Bergé, “Chirp-induced dynamics of femtosecond filaments in air,” Opt. Lett. 30(8), 917–919 (2005).
[Crossref] [PubMed]

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]

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).
[PubMed]

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

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2–4), 47–189 (2007).
[Crossref]

Phys. Rev. A (4)

X. D. Cao, G. P. Agrawal, and C. J. McKinstrie, “Self-focusing of chirped optical pulses in nonlinear dispersive media,” Phys. Rev. A 49(5), 4085–4092 (1994).
[Crossref] [PubMed]

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]

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]

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. (4)

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]

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]

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]

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, New York, 2012), 1–46.

G. P. Agrawal, Nonlinear Fiber Optics, 4ed. (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 (8)

Fig. 1
Fig. 1 Comparison of input spectra for chirped Airy pulse between analytical (black solid lines) and numerical (red dash lines) results for two values of chirp parameter (a) C=0.2 and (b) C=0.2 .
Fig. 2
Fig. 2 Airy pulse shapes with positive (left column) and negative (right column) chirps for six different propagation distances in the anomalous-dispersion regime.
Fig. 3
Fig. 3 Evolution of (left column) pulse | U( Z,T ) | and (right column) spectra | U ˜ ( Z,ω ) | shapes over a distance of 10 dispersion lengths for an initially unchirped and chirped Airy pulses in the anomalous dispersion regime.
Fig. 4
Fig. 4 Comparison of pulse shapes obtained from numerical (black solid lines) and analytical (red dash lines) methods at Z=1 and Z=7 for positively and negatively chirped Airy pulse.
Fig. 5
Fig. 5 Temporal evolutions of a chirped Airy pulse with truncation coefficient a=0.1 and different initial chirp as a function of propagation distance.
Fig. 6
Fig. 6 (a) the size of breakup area ( L B ) depends on the chirp parameter for three different truncation factor; (b) the L B as a function of the truncation coefficients for three different chirps.
Fig. 7
Fig. 7 Temporal evolutions of an initially chirped Airy pulse with different truncation coefficient as a function of propagation distance.
Fig. 8
Fig. 8 Temporal evolutions of an initially chirped Airy pulse with a=0.1 as a function of propagation distance in the anomalous dispersion regime under the action of different Kerr nonlinearity (N).

Equations (8)

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

i U Z + 1 2 s 2 U T 2 + N 2 | U | 2 U=0.
i U Z + 1 2 s 2 U T 2 =0.
U( Z,T )= 1 2π U ˜ ( 0,ω )exp( i s ω 2 Z 2 )exp( iωT )dω ,
U ˜ ( 0,ω )= U( 0,T )exp( iωT )dT .
U ˜ ( ω,Z=0 )= 1 2 exp( a ω 2 )exp[ i 3 ( ω 3 3 a 2 ωi a 3 ) ].
U( Z,T )=Ai( T Z 2 4 +isaZ )exp[ aT a Z 2 2 i 2 ( s 3 Z 3 6 s a 2 ZsTZ ) ]
U ˜ ( 0,ω )= π iC Ai( ω+ia 2C 1 16 C 2 )exp[ a 8 C 2 ( 4Cω1 ) ] ×exp[ i( ω 2 4C + ω 8 C 2 1 96 C 3 a 2 4C ) ]
| U( Z,T ) |=| 1 Θ Ai( T Θ Z 2 4 Θ 2 +i saZ Θ ) |exp( aT Θ a Z 2 2 Θ 2 ),

Metrics