Abstract

We investigate both theoretically and experimentally the self-healing properties of accelerating Airy beams. We show that this class of waves tends to reform during propagation in spite of the severity of the imposed perturbations. In all occasions the reconstruction of these beams is interpreted through their internal transverse power flow. The robustness of these optical beams in scattering and turbulent environments is also studied experimentally. Our observations are in excellent agreement with numerical simulations.

© 2008 Optical Society of America

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  1. G. A. Siviloglou and D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett. 32, 979-981 (2007).
    [CrossRef]
  2. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Observation of accelerating Airy beams," Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Ballistic dynamics of Airy beams," Opt. Lett. 33, 207-209 (2008).
    [CrossRef]
  4. I. M. Besieris and A. M. Shaarawi, "A note on an accelerating finite energy Airy beam," Opt. Lett. 32, 2447-2249 (2007).
    [CrossRef]
  5. M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979).
    [CrossRef]
  6. K. Dholakia, "Optics: Against the spread of the light," Nature 451, 413 (2008).
    [CrossRef]
  7. M. A. Bandres and J. C. Gutiérrez-Vega, "Airy-Gauss beams and their transformation by paraxial optical systems," Opt. Express 15, 16719-16728 (2007).
    [CrossRef]
  8. H. I. Sztul and R. R. Alfano, "The Poynting vector and angular momentum of Airy beams," Opt. Express 16, 9411-9416 (2008).
    [CrossRef]
  9. M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
    [CrossRef]
  10. A. V. Gorbach and D. V. Skryabin, "Soliton self-frequency shift, non-solitonic radiation and self-induced transparency in air-core fibers," Opt. Express 16, 4858-4865 (2008).
    [CrossRef]
  11. P. Saari, "Laterally accelerating airy pulses," Opt. Express 16, 10303-10308 (2008).
    [CrossRef]
  12. J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
    [CrossRef]
  13. D. McGloin and K. Dholakia, "Bessel beams: diffraction in a new light," Contemp. Phys. 46, 15-28 (2005).
    [CrossRef]
  14. R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
    [CrossRef]
  15. Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
    [CrossRef]
  16. V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
    [CrossRef]
  17. O. Vallée and M. Soares, Airy Functions and Applications to Physics, (Imperial College Press, London, 2004).
  18. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
    [CrossRef]
  19. H. C.  van de Hulst, Light Scattering by Small Particles, (Dover Publication Inc., New York, 1981).
  20. S. Prahl, "Mie Scattering Calculator," (2008). http://omlc.ogi.edu/calc/mie_calc.html
  21. J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).
  22. A. Dogariu and S. Amarande, "Propagation of partially coherent beams: turbulence-induced degradation," Opt. Lett. 28, 10-12 (2003).
    [CrossRef]

2008 (6)

2007 (4)

2005 (1)

D. McGloin and K. Dholakia, "Bessel beams: diffraction in a new light," Contemp. Phys. 46, 15-28 (2005).
[CrossRef]

2003 (1)

2002 (1)

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

1998 (1)

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

1996 (1)

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

1979 (1)

M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979).
[CrossRef]

1974 (1)

J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).

Alfano, R. R.

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

Amarande, S.

Asorey, M.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Balazs, N. L.

M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979).
[CrossRef]

Bandres, M. A.

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

Berry, M. V.

M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979).
[CrossRef]

J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).

Besieris, I. M.

Boothroyd, S. A.

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Bouchal, Z.

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

Broky, J.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Ballistic dynamics of Airy beams," Opt. Lett. 33, 207-209 (2008).
[CrossRef]

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

Chlup, M.

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

Christodoulides, D. N.

Chrostowski, J.

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Dholakia, K.

K. Dholakia, "Optics: Against the spread of the light," Nature 451, 413 (2008).
[CrossRef]

D. McGloin and K. Dholakia, "Bessel beams: diffraction in a new light," Contemp. Phys. 46, 15-28 (2005).
[CrossRef]

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Dogariu, A.

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Facchi, P.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Garces-Chavez, V.

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Gorbach, A. V.

Gutiérrez-Vega, J. C.

MacDonald, R. P.

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Man'ko, V. I.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Marmo, G.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

McGloin, D.

D. McGloin and K. Dholakia, "Bessel beams: diffraction in a new light," Contemp. Phys. 46, 15-28 (2005).
[CrossRef]

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Melville, H.

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Nye, J. F.

J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).

Okamoto, T.

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Pascazio, S.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Saari, P.

Shaarawi, A. M.

Sibbett, W.

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Siviloglou, G. A.

Skryabin, D. V.

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

Sudarshan, E. C. G.

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Syrett, B. A.

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Sztul, H. I.

Wagner, J.

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979).
[CrossRef]

Contemp. Phys. (1)

D. McGloin and K. Dholakia, "Bessel beams: diffraction in a new light," Contemp. Phys. 46, 15-28 (2005).
[CrossRef]

Nature (2)

K. Dholakia, "Optics: Against the spread of the light," Nature 451, 413 (2008).
[CrossRef]

V. Garces-Chavez, D. McGloin, H. Melville,W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef]

Opt. Commun. (2)

R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, "Interboard optical data distribution by Bessel beam shadowing," Opt. Commun. 122, 169-177 (1996).
[CrossRef]

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

Opt. Express (4)

Opt. Lett. (4)

Phys. Rev. A. (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A. 45, 8185-8189 (1992).
[CrossRef]

M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, and E. C. G. Sudarshan, "Generalized tomographic maps," Phys. Rev. A. 77, 042115 (2008).
[CrossRef]

Phys. Rev. Lett. (2)

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

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

Proc. R. Soc. London Ser. A (1)

J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974).

Other (3)

H. C.  van de Hulst, Light Scattering by Small Particles, (Dover Publication Inc., New York, 1981).

S. Prahl, "Mie Scattering Calculator," (2008). http://omlc.ogi.edu/calc/mie_calc.html

O. Vallée and M. Soares, Airy Functions and Applications to Physics, (Imperial College Press, London, 2004).

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