Abstract

Airy-Bessel configuration wave packets are believed to be exotic localized linear light bullets (LLBs) without spatiotemporal spread during propagation in free space. By carefully studying the propagation of ideal Airy-Bessel wave packets (ABWs) in free space, several new results were obtained. Cubic spatially induced dispersion (SID) slightly broadens Airy pulses while quadratic SID cannot temporally change ABWs transmission modes. Hence, ABWs, although remaining as superior localized linear wave packets, cannot be regarded as absolute LLBs. Moreover, cubic SID also decreases the longitudinal acceleration of the Airy pulse peak during propagation.

© 2013 OSA

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References

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  1. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy–Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
    [Crossref]
  2. 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]
  3. H. Valtna-Lukner, P. Bowlan, M. Lõhmus, P. Piksarv, R. Trebino, and P. Saari, “Direct spatiotemporal measurements of accelerating ultrashort Bessel-type light bullets,” Opt. Express 17(17), 14948–14955 (2009).
    [Crossref] [PubMed]
  4. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
    [Crossref]
  5. D. Mihalachem, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Physiol. 57, 352–371 (2012).
  6. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
    [Crossref] [PubMed]
  7. M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
    [Crossref]
  8. 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]
  9. J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
    [Crossref]
  10. V. Pasiskevicius, “Engineering Airy beams,” Nat. Photonics 3(7), 374–375 (2009).
    [Crossref]
  11. F. O. Fahrbach and A. Rohrbach, “A line scanned light-sheet microscope with phase shaped self-reconstructing beams,” Opt. Express 18(23), 24229–24244 (2010).
    [Crossref] [PubMed]
  12. R. Piestun, Y. Y. Schechner, and J. Shamir, “Propagation-invariant wave fields with finite energy,” J. Opt. Soc. Am. A 17(2), 294–303 (2000).
    [Crossref] [PubMed]
  13. P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
    [Crossref]
  14. P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
    [Crossref] [PubMed]
  15. M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, L. Furfaro, M. J. Withford, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Opt. Express 18, 566–574 (2010).
    [Crossref] [PubMed]
  16. 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]
  17. S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
    [Crossref]
  18. G. P. Agrawal, “Far-field diffraction of pulsed optical beams in dispersive media,” Opt. Commun. 167(1-6), 15–22 (1999).
    [Crossref]
  19. M. A. Porras, “Diffraction-free and dispersion-free pulsed beam propagation in dispersive media,” Opt. Lett. 26(17), 1364–1366 (2001).
    [Crossref] [PubMed]
  20. W. Hu and H. Guo, “Ultrashort pulsed Bessel beams and spatially induced group-velocity dispersion,” J. Opt. Soc. Am. A 19(1), 49–53 (2002).
    [Crossref] [PubMed]
  21. M. Zamboni-Rached, H. E. Hernández-Figueroa, and E. Recami, “Chirped optical X-shaped pulses in material media,” J. Opt. Soc. Am. A 21(12), 2455–2463 (2004).
    [Crossref] [PubMed]
  22. M. A. Porras, “Diffraction effects in few-cycle optical pulses,” Phys. Rev. E 65(2), 026606 (2002).
    [Crossref] [PubMed]
  23. A. E. Kaplan, “Diffraction-induced transformation of near-cycle and subcycle pulses,” J. Opt. Soc. Am. B 15(3), 951–956 (1998).
    [Crossref]
  24. Z. J. Ren, H. Z. Jin, Y. L. Shi, J. C. Xu, W. D. Zhou, and H. Wang, “Spatially induced spatiotemporally nonspreading Airy-Bessel wave packets,” J. Opt. Soc. Am. A 29(6), 848–853 (2012).
    [Crossref] [PubMed]
  25. S. Orlov, A. Piskarskas, and A. Stabinis, “Localized optical subcycle pulses in dispersive media,” Opt. Lett. 27(24), 2167–2169 (2002).
    [Crossref] [PubMed]
  26. R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
    [Crossref]
  27. 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]
  28. H. E. Hernández-Figueroa, M. Zamboni-Rached, and E. Recami, Localized Waves (J. Wiley & Sons, 2008).
  29. C. J. R. Sheppard, “Bessel pulse beams and focus wave modes,” J. Opt. Soc. Am. A 18(10), 2594–2600 (2001).
    [Crossref] [PubMed]
  30. B. D. Lü and Z. J. Liu, “Propagation properties of ultrashort pulsed Bessel beams in dispersive media,” J. Opt. Soc. Am. A 20(3), 582–587 (2003).
    [Crossref] [PubMed]
  31. F. W. Wise, “Generation of light bullets,” Physics 3, 107 (2010).
    [Crossref]
  32. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
    [Crossref] [PubMed]
  33. J. Y. Lu and J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(1), 19–31 (1992).
    [Crossref] [PubMed]
  34. P. Saari and H. Sõnajalg, “Pulsed Bessel beams,” Laser Phys. 7, 32–39 (1997).
  35. M. A. Porras, “Ultrashort pulsed Gaussian light beams,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(1), 1086–1093 (1998).
    [Crossref]
  36. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1995).
  37. 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]
  38. 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]
  39. K. Y. Kim, C. Y. Hwang, and B. Lee, “Slow non-dispersing wavepackets,” Opt. Express 19(3), 2286–2293 (2011).
    [Crossref] [PubMed]
  40. A. Nerukh, D. Zolotariov, and D. Nerukh, “Time-varying Airy pulses,” IEEE 978–1-4577–0882–4/11 (2011)
  41. S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12(9), 093001 (2010).
    [Crossref]

2012 (2)

D. Mihalachem, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Physiol. 57, 352–371 (2012).

Z. J. Ren, H. Z. Jin, Y. L. Shi, J. C. Xu, W. D. Zhou, and H. Wang, “Spatially induced spatiotemporally nonspreading Airy-Bessel wave packets,” J. Opt. Soc. Am. A 29(6), 848–853 (2012).
[Crossref] [PubMed]

2011 (3)

2010 (6)

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12(9), 093001 (2010).
[Crossref]

F. W. Wise, “Generation of light bullets,” Physics 3, 107 (2010).
[Crossref]

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

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]

F. O. Fahrbach and A. Rohrbach, “A line scanned light-sheet microscope with phase shaped self-reconstructing beams,” Opt. Express 18(23), 24229–24244 (2010).
[Crossref] [PubMed]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, L. Furfaro, M. J. Withford, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Opt. Express 18, 566–574 (2010).
[Crossref] [PubMed]

2009 (3)

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]

H. Valtna-Lukner, P. Bowlan, M. Lõhmus, P. Piksarv, R. Trebino, and P. Saari, “Direct spatiotemporal measurements of accelerating ultrashort Bessel-type light bullets,” Opt. Express 17(17), 14948–14955 (2009).
[Crossref] [PubMed]

V. Pasiskevicius, “Engineering Airy beams,” Nat. Photonics 3(7), 374–375 (2009).
[Crossref]

2008 (4)

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

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
[Crossref] [PubMed]

2007 (1)

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)

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

2004 (2)

S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
[Crossref]

M. Zamboni-Rached, H. E. Hernández-Figueroa, and E. Recami, “Chirped optical X-shaped pulses in material media,” J. Opt. Soc. Am. A 21(12), 2455–2463 (2004).
[Crossref] [PubMed]

2003 (3)

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

B. D. Lü and Z. J. Liu, “Propagation properties of ultrashort pulsed Bessel beams in dispersive media,” J. Opt. Soc. Am. A 20(3), 582–587 (2003).
[Crossref] [PubMed]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

2002 (3)

2001 (2)

2000 (1)

1999 (1)

G. P. Agrawal, “Far-field diffraction of pulsed optical beams in dispersive media,” Opt. Commun. 167(1-6), 15–22 (1999).
[Crossref]

1998 (2)

A. E. Kaplan, “Diffraction-induced transformation of near-cycle and subcycle pulses,” J. Opt. Soc. Am. B 15(3), 951–956 (1998).
[Crossref]

M. A. Porras, “Ultrashort pulsed Gaussian light beams,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(1), 1086–1093 (1998).
[Crossref]

1997 (1)

P. Saari and H. Sõnajalg, “Pulsed Bessel beams,” Laser Phys. 7, 32–39 (1997).

1992 (1)

J. Y. Lu and J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(1), 19–31 (1992).
[Crossref] [PubMed]

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

1979 (1)

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

Abdollahpour, D.

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

Agrawal, G. P.

G. P. Agrawal, “Far-field diffraction of pulsed optical beams in dispersive media,” Opt. Commun. 167(1-6), 15–22 (1999).
[Crossref]

Akturk, S.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12(9), 093001 (2010).
[Crossref]

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]

Balazs, N. L.

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

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]

Bhuyan, M. K.

Bowlan, P.

Broky, J.

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

Chong, A.

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

Christodoulides, D. N.

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]

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

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

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

Conti, C.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Couairon, A.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

Courvoisier, F.

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.

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
[Crossref] [PubMed]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Dogariu, A.

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

Dudley, J. M.

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Faccio, D.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
[Crossref] [PubMed]

Fahrbach, F. O.

Fortin, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Franco, M.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

Furfaro, L.

Greenleaf, J. F.

J. Y. Lu and J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(1), 19–31 (1992).
[Crossref] [PubMed]

Griebner, U.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Grunwald, R.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Gu, X.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12(9), 093001 (2010).
[Crossref]

Guo, H.

Hernández-Figueroa, H. E.

Hu, W.

Hwang, C. Y.

Jacquot, M.

Janner, D.

S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
[Crossref]

Jedrkiewicz, O.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Jin, H. Z.

Kaminer, I.

Kaplan, A. E.

Kebbel, V.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Kim, K. Y.

Kolesik, M.

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

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
[Crossref] [PubMed]

Kummrow, A.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Lacourt, P. A.

Laporta, P.

S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
[Crossref]

Lee, B.

Liu, Z. J.

Lõhmus, M.

Longhi, S.

S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
[Crossref]

Lu, J. Y.

J. Y. Lu and J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(1), 19–31 (1992).
[Crossref] [PubMed]

Lü, B. D.

Lumer, Y.

Malomed, B. A.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

Mazilu, M.

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

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Mihalache, D.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

Mihalachem, D.

D. Mihalachem, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Physiol. 57, 352–371 (2012).

Moloney, J.

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]

Neumann, U.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Nibbering, E. T. J.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Orlov, S.

Papazoglou, D. G.

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

Pasiskevicius, V.

V. Pasiskevicius, “Engineering Airy beams,” Nat. Photonics 3(7), 374–375 (2009).
[Crossref]

Piche, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Piestun, R.

Piksarv, P.

Piskarskas, A.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

S. Orlov, A. Piskarskas, and A. Stabinis, “Localized optical subcycle pulses in dispersive media,” Opt. Lett. 27(24), 2167–2169 (2002).
[Crossref] [PubMed]

Polesana, P.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

Polynkin, P.

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

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

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008).
[Crossref] [PubMed]

Porras, M. A.

M. A. Porras, “Diffraction effects in few-cycle optical pulses,” Phys. Rev. E 65(2), 026606 (2002).
[Crossref] [PubMed]

M. A. Porras, “Diffraction-free and dispersion-free pulsed beam propagation in dispersive media,” Opt. Lett. 26(17), 1364–1366 (2001).
[Crossref] [PubMed]

M. A. Porras, “Ultrashort pulsed Gaussian light beams,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(1), 1086–1093 (1998).
[Crossref]

Recami, E.

Ren, Z. J.

Renninger, W. H.

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

Rini, M.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Roberts, A.

Rohrbach, A.

Rousseau, G.

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Saari, P.

Schechner, Y. Y.

Segev, M.

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]

Shamir, J.

Sheppard, C. J. R.

Shi, Y. L.

Siviloglou, G. A.

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

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

Sõnajalg, H.

P. Saari and H. Sõnajalg, “Pulsed Bessel beams,” Laser Phys. 7, 32–39 (1997).

Stabinis, A.

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]

Torner, L.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

Trapani, P.

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

Trebino, R.

Trillo, S.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Trull, J.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Tzortzakis, S.

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

Valiulis, G.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Valtna-Lukner, H.

Wang, H.

Wise, F.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

Wise, F. W.

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

F. W. Wise, “Generation of light bullets,” Physics 3, 107 (2010).
[Crossref]

Withford, M. J.

Xu, J. C.

Zamboni-Rached, M.

Zhou, W. D.

Am. J. Phys. (1)

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

IEEE Trans. Ultrason. Ferroelectr. Freq. Control (1)

J. Y. Lu and J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(1), 19–31 (1992).
[Crossref] [PubMed]

J. Opt. (1)

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12(9), 093001 (2010).
[Crossref]

J. Opt. B Quantum Semiclassical Opt. (1)

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclassical Opt. 7(5), R53–R72 (2005).
[Crossref]

J. Opt. B: Quantum Semiclass. (1)

S. Longhi, D. Janner, and P. Laporta, “Propagating pulsed Bessel beams in periodic media,” J. Opt. B: Quantum Semiclass. 6(11), 477–481 (2004).
[Crossref]

J. Opt. Soc. Am. A (6)

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

Laser Phys. (1)

P. Saari and H. Sõnajalg, “Pulsed Bessel beams,” Laser Phys. 7, 32–39 (1997).

Nat. Photonics (3)

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

V. Pasiskevicius, “Engineering Airy beams,” Nat. Photonics 3(7), 374–375 (2009).
[Crossref]

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

Opt. Commun. (1)

G. P. Agrawal, “Far-field diffraction of pulsed optical beams in dispersive media,” Opt. Commun. 167(1-6), 15–22 (1999).
[Crossref]

Opt. Express (6)

Opt. Lett. (2)

Phys. Rev. A (2)

P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008).
[Crossref]

R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau, and M. Fortin, “Generation and characterization of spatially and temporally localized few-cycle optical wave packets,” Phys. Rev. A 67(6), 063820 (2003).
[Crossref]

Phys. Rev. E (1)

M. A. Porras, “Diffraction effects in few-cycle optical pulses,” Phys. Rev. E 65(2), 026606 (2002).
[Crossref] [PubMed]

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. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics (1)

M. A. Porras, “Ultrashort pulsed Gaussian light beams,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(1), 1086–1093 (1998).
[Crossref]

Phys. Rev. Lett. (5)

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[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]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

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

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

Physics (1)

F. W. Wise, “Generation of light bullets,” Physics 3, 107 (2010).
[Crossref]

Rom. J. Physiol. (1)

D. Mihalachem, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Physiol. 57, 352–371 (2012).

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 (3)

H. E. Hernández-Figueroa, M. Zamboni-Rached, and E. Recami, Localized Waves (J. Wiley & Sons, 2008).

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1995).

A. Nerukh, D. Zolotariov, and D. Nerukh, “Time-varying Airy pulses,” IEEE 978–1-4577–0882–4/11 (2011)

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Figures (3)

Fig. 1
Fig. 1

The trajectory of the Airy pulse peak for different cases.

Fig. 2
Fig. 2

Propagating in free space, temporal broadening factor of Gaussian-Bessel wave packet and ideal Airy-Bessel wave packet under the jointly influence both quadratic and cubic SID.

Fig. 3
Fig. 3

The temporal evolution of intensity distribution of an ideal ABW at different propagation distances.

Equations (34)

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

[ 2 +k (ω) 2 ]U(x,y,z;ω)=0,
k(ω)=ω/c,
U(r,z;ω)= J 0 (r/ r 0 )exp[iβ(ω)z]f(0,ω ω 0 ),
β 2 (ω)= k 2 (ω)1/ r 0 2 = ω 2 / c 2 1/ r 0 2 ,
β(ω)= β 0 + m=1 β m m! (ω ω 0 ) m ,
β 0 = k 0 1 1 r 0 2 k 0 2 ,
β 1 = r 0 k 0 c r 0 2 k 0 2 1 ,
β 2 = r 0 c 2 ( r 0 2 k 0 2 1) 3 2 ,
β 3 = 3 r 0 3 k 0 c 3 ( r 0 2 k 0 2 1) 5 2 ,
U(r,z;ω)= J 0 (r/ r 0 )f(0,ω ω 0 )exp{iz[ β 0 + n=1 β n n! (ω ω 0 ) n ]},
Ψ(r,z;t)= 1 2π J 0 (r/ r 0 )× f(0,ω ω 0 )exp{iz[ β 0 + n=1 β n n! (ω ω 0 ) n ]}exp(iωt)dω .
Ψ(t;r,z)=E(r,z;t)exp[i( β 0 z ω 0 t)].
E(r,z;t)= J 0 (r/ r 0 )Φ(z,t).
Φ(z,t)= 1 2π f(0,ω ω 0 )exp[iz n=1 β n n! (ω ω 0 ) n i(ω ω 0 )t]dω .
Φ(z,T)= 1 2π × f(0,ω ω 0 )exp[ i 2 β 2 (ω ω 0 ) 2 z+ i 6 β 3 (ω ω 0 ) 3 zi(ω ω 0 )T]dω .
Φ(0,T)=exp( T 2 2 T 0 2 ),
η= T T 0 = [1+ ( z L 2 ) 2 + 1 4 ( z L 3 ) 2 ] 1/2 .
Φ(0,T)=Airy(T/ T 0 ),
f(0,ω ω 0 )= Ai(T/ T 0 ) e i(ω ω 0 )T dT= 1 2π T 0 e i T 0 3 (ω ω 0 ) 3 /3 .
Φ(z,T)= 1 2π exp{i[ (ω ω 0 ) 3 3 ( T 0 3 + β 3 z 2 )+ β 2 z 2 (ω ω 0 ) 2 T(ω ω 0 )]} dω,
L 2 = T 0 2 | β 2 | = c 2 T 0 2 r 0 ( r 0 2 k 0 2 1) 3 2 .
L 3 = T 0 3 | β 3 | = c 3 T 0 3 3 r 0 3 k 0 ( r 0 2 k 0 2 1) 5 2 .
ω ω 0 = ( T 0 3 + β 3 z 2 ) 1/3 φ= 1 T 0 (1+ z 2 L 3 ) 1/3 φ
Φ(z,T)= (1+z/2 L 3 ) 1/3 2π exp{i[ φ 3 3 + z 2 L 2 (1+ z 2 L 3 ) 2 3 φ 2 + (1+ z 2 L 3 ) 1 3 T T 0 φ]} dφ = (1+ z 2 L 3 ) 1/3 exp{i z 2 L 2 (1+ z 2 L 3 ) 2 3 [ z 2 6 L 2 2 (1+ z 2 L 3 ) 4 3 (1+ z 2 L 3 ) 1 3 T T 0 ]} ×Ai[ (1+ z 2 L 3 ) 1 3 T T 0 z 2 4 L 2 2 (1+ z 2 L 3 ) 4 3 ].
Φ(z,T)=exp[i z 2 L 2 ( z 2 6 L 2 2 T T 0 )]Ai( T T 0 z 2 4 L 2 2 ),
Φ(z,T)= (1+ z 2 L 3 ) 1/3 Ai[ (1+ z 2 L 3 ) 1 3 T T 0 ].
η= T T 0 = (1+z/2 L 3 ) 1/3 = [1+ 3z r 0 3 k 0 2 c 3 T 0 3 ( r 0 2 k 0 2 1) 5 2 ] 1/3 .
L 3 c 3 r 0 2 T 0 3 k 0 4 /3.
η [1+ 3z 2 c 3 r 0 2 T 0 3 k 0 4 ] 1 3 .
z r 0 2 T 0 3 2 3 ( η 3 1) c 3 k 0 4
z s r 0 2 T 0 3 0.1051 c 3 k 0 4 .
a= z 2 4 L 2 2 (1+ z 2 L 3 ) 4 3 .
L 3 = c T 0 ( r 0 2 k 0 2 1) 3 r 0 2 k 0 L 2 .
L 3 = c T 0 k 0 3 L 2 .

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