Abstract

Beam wander of an Airy beam with a spiral phase in turbulence is investigated. Using the Wigner distribution function, analytical expressions for the second-order moments and second central moments of an Airy beam with a spiral phase in turbulence are derived. A general expression of the beam wander for an Airy beam with a spiral phase is obtained. Based on the derived formula, various factors that impact on the beam wander are illustrated numerically. The results show that increasing the topological charge and the characteristic scale, or decreasing the exponential truncation factor, can be used to decrease the beam wander.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
    [CrossRef]
  2. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32, 979–981 (2007).
    [CrossRef]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  4. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16, 12880–12891 (2008).
    [CrossRef]
  5. X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
    [CrossRef]
  6. D. M. Cottrell, J. A. Davis, and T. M. Hazard, “Direct generation of accelerating Airy beams using a 3/2 phase-only pattern,” Opt. Lett. 34, 2634–2636 (2009).
    [CrossRef]
  7. E. Abramochkin and E. Razueva, “Product of three Airy beams,” Opt. Lett. 36, 3732–3734 (2011).
    [CrossRef]
  8. Y. Liang, Z. Ye, D. Song, C. Lou, X. Zhang, J. Xu, and Z. Chen, “Generation of linear and nonlinear propagation of three-Airy beams,” Opt. Express 21, 1615–1622 (2013).
    [CrossRef]
  9. D. Luo, H. T. Dai, X. W. Sun, and H. V. Demir, “Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode,” Opt. Commun. 283, 3846–3849 (2010).
    [CrossRef]
  10. B. Yalizay, B. Soylu, and S. Akturk, “Optical element for generation of accelerating Airy beams,” J. Opt. Soc. Am. A 27, 2344–2346 (2010).
    [CrossRef]
  11. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, “Nonlinear generation and manipulation of Airy beams,” Nat. Photonics 3, 395–398 (2009).
    [CrossRef]
  12. S. Longhi, “Airy beams from a microchip laser,” Opt. Lett. 36, 716–718 (2011).
    [CrossRef]
  13. H. Deng and L. Yuan, “Generation of Airy-like wave with one-dimensional waveguide array,” Opt. Lett. 38, 1645–1647 (2013).
    [CrossRef]
  14. A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
    [CrossRef]
  15. L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
    [CrossRef]
  16. I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
    [CrossRef]
  17. X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
    [CrossRef]
  18. N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
    [CrossRef]
  19. J. D. Ring, C. J. Howls, and M. R. Dennis, “Incomplete Airy beams: finite energy from a sharp spectral cutoff,” Opt. Lett. 38, 1639–1641 (2013).
    [CrossRef]
  20. J. Baumgart, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
    [CrossRef]
  21. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
    [CrossRef]
  22. Z. Zheng, B. F. Zhang, H. Chen, J. Ding, and H. T. Wang, “Optical trapping with focused Airy beams,” Appl. Opt. 50, 43–49 (2011).
    [CrossRef]
  23. 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, 2883–2885 (2011).
    [CrossRef]
  24. J. X. Li, W. P. Zang, and J. G. Tian, “Analysis of electron capture acceleration channel in an Airy beam,” Opt. Lett. 35, 3258–3260 (2010).
    [CrossRef]
  25. J. X. Li, X. L. Fan, W. P. Zang, and J. G. Tian, “Vacuum electron acceleration driven by two crossed Airy beams,” Opt. Lett. 36, 648–650 (2011).
    [CrossRef]
  26. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy–Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4, 103–106 (2010).
    [CrossRef]
  27. D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
    [CrossRef]
  28. P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102, 101101 (2013).
    [CrossRef]
  29. D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
    [CrossRef]
  30. K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004).
    [CrossRef]
  31. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
    [CrossRef]
  32. G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
    [CrossRef]
  33. N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
    [CrossRef]
  34. M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
    [CrossRef]
  35. A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
    [CrossRef]
  36. H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation dynamics of an optical vortex imposed on an Airy beam,” Opt. Lett. 35, 4075–4077 (2010).
    [CrossRef]
  37. H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation properties of an optical vortex carried by an Airy beam: experimental implementation,” Opt. Lett. 36, 1617–1619 (2011).
    [CrossRef]
  38. M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
    [CrossRef]
  39. K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
    [CrossRef]
  40. D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
    [CrossRef]
  41. R. Chen and C. H. Raymond Ooi, “Nonclassicality of vortex Airy beams in the Wigner representation,” Phys. Rev. A 84, 043846 (2011).
    [CrossRef]
  42. R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
    [CrossRef]
  43. R. Chen and K. Chew, “Far-field properties of a vortex Airy beam,” Laser Part. Beams 31, 9–15 (2013).
    [CrossRef]
  44. R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).
  45. C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
    [CrossRef]
  46. X. Chu, “Propagation of an Airy beam with a spiral phase,” Opt. Lett. 37, 5202–5204 (2012).
    [CrossRef]
  47. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005).
  48. D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
    [CrossRef]
  49. G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
    [CrossRef]
  50. C. Chen and H. Yang, “Temporal spectrum of beam wander for Gaussian Shell-model beams propagating in atmospheric turbulence with finite outer scale,” Opt. Lett. 38, 1887–1889 (2013).
    [CrossRef]
  51. S. Yu, Z. Chen, T. Wang, G. Wu, H. Guo, and W. Gu, “Beam wander of electromagnetic Gaussian–Schell model beams propagating in atmospheric turbulence,” Appl. Opt. 51, 7581–7585 (2012).
    [CrossRef]
  52. H. T. Eyyuboğlu and C. Z. Cil, “Beam wander of dark hollow, flat-topped and annular beams,” Appl. Phys. B 93, 595–604 (2008).
    [CrossRef]
  53. C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
    [CrossRef]
  54. C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
    [CrossRef]
  55. D. G. Pérez and G. Funes, “Beam wandering statistics of twin thin laser beam propagation under generalized atmospheric conditions,” Opt. Express 20, 27766–27780 (2012).
    [CrossRef]
  56. C. Si and Y. Zhang, “Beam wander of quantization beam in a non-Kolmogorov turbulent atmosphere,” Optik 124, 1175–1178 (2013).
    [CrossRef]
  57. H. T. Yura and S. G. Hanson, “Optical beam wave propagation through complex optical systems,” J. Opt. Soc. Am. A 4, 1931–1948 (1987).
    [CrossRef]
  58. X. Chu, “Evolution of an Airy beam in turbulence,” Opt. Lett. 36, 2701–2703 (2011).
    [CrossRef]

2014 (1)

K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
[CrossRef]

2013 (14)

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

R. Chen and K. Chew, “Far-field properties of a vortex Airy beam,” Laser Part. Beams 31, 9–15 (2013).
[CrossRef]

R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
[CrossRef]

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

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

C. Si and Y. Zhang, “Beam wander of quantization beam in a non-Kolmogorov turbulent atmosphere,” Optik 124, 1175–1178 (2013).
[CrossRef]

Y. Liang, Z. Ye, D. Song, C. Lou, X. Zhang, J. Xu, and Z. Chen, “Generation of linear and nonlinear propagation of three-Airy beams,” Opt. Express 21, 1615–1622 (2013).
[CrossRef]

J. D. Ring, C. J. Howls, and M. R. Dennis, “Incomplete Airy beams: finite energy from a sharp spectral cutoff,” Opt. Lett. 38, 1639–1641 (2013).
[CrossRef]

H. Deng and L. Yuan, “Generation of Airy-like wave with one-dimensional waveguide array,” Opt. Lett. 38, 1645–1647 (2013).
[CrossRef]

C. Chen and H. Yang, “Temporal spectrum of beam wander for Gaussian Shell-model beams propagating in atmospheric turbulence with finite outer scale,” Opt. Lett. 38, 1887–1889 (2013).
[CrossRef]

2012 (7)

S. Yu, Z. Chen, T. Wang, G. Wu, H. Guo, and W. Gu, “Beam wander of electromagnetic Gaussian–Schell model beams propagating in atmospheric turbulence,” Appl. Opt. 51, 7581–7585 (2012).
[CrossRef]

D. G. Pérez and G. Funes, “Beam wandering statistics of twin thin laser beam propagation under generalized atmospheric conditions,” Opt. Express 20, 27766–27780 (2012).
[CrossRef]

X. Chu, “Propagation of an Airy beam with a spiral phase,” Opt. Lett. 37, 5202–5204 (2012).
[CrossRef]

I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
[CrossRef]

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
[CrossRef]

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
[CrossRef]

2011 (10)

R. Chen and C. H. Raymond Ooi, “Nonclassicality of vortex Airy beams in the Wigner representation,” Phys. Rev. A 84, 043846 (2011).
[CrossRef]

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Z. Zheng, B. F. Zhang, H. Chen, J. Ding, and H. T. Wang, “Optical trapping with focused Airy beams,” Appl. Opt. 50, 43–49 (2011).
[CrossRef]

J. X. Li, X. L. Fan, W. P. Zang, and J. G. Tian, “Vacuum electron acceleration driven by two crossed Airy beams,” Opt. Lett. 36, 648–650 (2011).
[CrossRef]

S. Longhi, “Airy beams from a microchip laser,” Opt. Lett. 36, 716–718 (2011).
[CrossRef]

H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation properties of an optical vortex carried by an Airy beam: experimental implementation,” Opt. Lett. 36, 1617–1619 (2011).
[CrossRef]

X. Chu, “Evolution of an Airy beam in turbulence,” Opt. Lett. 36, 2701–2703 (2011).
[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, 2883–2885 (2011).
[CrossRef]

E. Abramochkin and E. Razueva, “Product of three Airy beams,” Opt. Lett. 36, 3732–3734 (2011).
[CrossRef]

2010 (7)

J. X. Li, W. P. Zang, and J. G. Tian, “Analysis of electron capture acceleration channel in an Airy beam,” Opt. Lett. 35, 3258–3260 (2010).
[CrossRef]

B. Yalizay, B. Soylu, and S. Akturk, “Optical element for generation of accelerating Airy beams,” J. Opt. Soc. Am. A 27, 2344–2346 (2010).
[CrossRef]

H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation dynamics of an optical vortex imposed on an Airy beam,” Opt. Lett. 35, 4075–4077 (2010).
[CrossRef]

D. Luo, H. T. Dai, X. W. Sun, and H. V. Demir, “Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode,” Opt. Commun. 283, 3846–3849 (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, 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, 253901 (2010).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

2009 (5)

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[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, 229–232 (2009).
[CrossRef]

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

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

D. M. Cottrell, J. A. Davis, and T. M. Hazard, “Direct generation of accelerating Airy beams using a 3/2 phase-only pattern,” Opt. Lett. 34, 2634–2636 (2009).
[CrossRef]

2008 (3)

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

H. T. Eyyuboğlu and C. Z. Cil, “Beam wander of dark hollow, flat-topped and annular beams,” Appl. Phys. B 93, 595–604 (2008).
[CrossRef]

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

2007 (4)

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
[CrossRef]

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

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
[CrossRef]

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

2005 (1)

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[CrossRef]

2004 (1)

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004).
[CrossRef]

2003 (1)

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[CrossRef]

2001 (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

1987 (2)

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

H. T. Yura and S. G. Hanson, “Optical beam wave propagation through complex optical systems,” J. Opt. Soc. Am. A 4, 1931–1948 (1987).
[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, 253901 (2010).
[CrossRef]

Abramochkin, E.

Akturk, S.

Andrews, L. C.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005).

Arie, A.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
[CrossRef]

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

Barnett, S. M.

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

Baumgart, J.

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

Baumgartl, J.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

Baykal, Y.

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[CrossRef]

Berman, G. P.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Block, S. M.

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004).
[CrossRef]

Boguslawski, M.

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

Bozinovic, N.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

Broky, J.

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

Cai, Y.

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[CrossRef]

Chen, C.

C. Chen and H. Yang, “Temporal spectrum of beam wander for Gaussian Shell-model beams propagating in atmospheric turbulence with finite outer scale,” Opt. Lett. 38, 1887–1889 (2013).
[CrossRef]

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

Chen, H.

Chen, R.

R. Chen and K. Chew, “Far-field properties of a vortex Airy beam,” Laser Part. Beams 31, 9–15 (2013).
[CrossRef]

R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
[CrossRef]

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

R. Chen and C. H. Raymond Ooi, “Nonclassicality of vortex Airy beams in the Wigner representation,” Phys. Rev. A 84, 043846 (2011).
[CrossRef]

Chen, Z.

Cheng, K.

K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
[CrossRef]

Chew, K.

R. Chen and K. Chew, “Far-field properties of a vortex Airy beam,” Laser Part. Beams 31, 9–15 (2013).
[CrossRef]

R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

Chong, A.

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

Christodoulides, D. N.

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, 2883–2885 (2011).
[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, 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, 229–232 (2009).
[CrossRef]

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

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

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

Chu, X.

X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
[CrossRef]

X. Chu, “Propagation of an Airy beam with a spiral phase,” Opt. Lett. 37, 5202–5204 (2012).
[CrossRef]

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
[CrossRef]

X. Chu, “Evolution of an Airy beam in turbulence,” Opt. Lett. 36, 2701–2703 (2011).
[CrossRef]

Chumak, A. A.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Cil, C. Z.

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[CrossRef]

H. T. Eyyuboğlu and C. Z. Cil, “Beam wander of dark hollow, flat-topped and annular beams,” Appl. Phys. B 93, 595–604 (2008).
[CrossRef]

Cottrell, D. M.

Dai, H. T.

Davis, J. A.

Demir, H. V.

D. Luo, H. T. Dai, X. W. Sun, and H. V. Demir, “Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode,” Opt. Commun. 283, 3846–3849 (2010).
[CrossRef]

Deng, D.

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

Deng, H.

Dennis, M. R.

Denz, C.

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

Desyatnikov, A. S.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[CrossRef]

Dholakia, K.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

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

Diebel, F.

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

Ding, J.

Dogariu, A.

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

Dolev, I.

I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
[CrossRef]

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]

Efremidis, N. K.

Ellenbogen, T.

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

Epstein, I.

I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
[CrossRef]

Eyyuboglu, H. T.

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[CrossRef]

H. T. Eyyuboğlu and C. Z. Cil, “Beam wander of dark hollow, flat-topped and annular beams,” Appl. Phys. B 93, 595–604 (2008).
[CrossRef]

Fan, X. L.

Funes, G.

Ganany-Padowicz, A.

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

Gorshkov, V. N.

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Gover, A.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[CrossRef]

Gu, W.

Guo, H.

Hanson, S. G.

Hazard, T. M.

He, S.

R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).

Howls, C. J.

Huang, H.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

i már, T.

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

Janunts, N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

Kivshar, Y. S.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[CrossRef]

Klein, A. E.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

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, 229–232 (2009).
[CrossRef]

Korotkova, O.

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

Kristensen, P.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

Lavery, M. P. J.

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

Lereah, Y.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

Li, H.

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

Li, J. X.

Li, L.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Li, T.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Liang, Y.

Lilach, Y.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

Liu, Y. J.

Liu, Z.

X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
[CrossRef]

Longhi, S.

Lou, C.

Luo, D.

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

Mazilu, M.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

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

Miceli, J. J.

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

Mills, M. S.

Minovich, A.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
[CrossRef]

Moloney, J. V.

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

Neshev, D. N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

Neuman, K. C.

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004).
[CrossRef]

Padgett, M. J.

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

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, 253901 (2010).
[CrossRef]

Pérez, D. G.

Pertsch, T.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

Phillips, R. L.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005).

Polynkin, P.

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

Prakash, J.

Ramachandran, S.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

Ramos-García, R.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

Raymond Ooi, C. H.

R. Chen and C. H. Raymond Ooi, “Nonclassicality of vortex Airy beams in the Wigner representation,” Phys. Rev. A 84, 043846 (2011).
[CrossRef]

Razueva, E.

Ren, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

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, 103–106 (2010).
[CrossRef]

Ring, J. D.

Rodríguez-Fajardo, V.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

Rosales-Guzmán, C.

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

Rose, P.

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

Semenov, A. A.

D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
[CrossRef]

Si, C.

C. Si and Y. Zhang, “Beam wander of quantization beam in a non-Kolmogorov turbulent atmosphere,” Optik 124, 1175–1178 (2013).
[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, 229–232 (2009).
[CrossRef]

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

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

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

Song, D.

Soylu, B.

Speirits, F. C.

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

Sun, X. W.

Suntsov, S.

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

Tian, J. G.

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
[CrossRef]

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[CrossRef]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
[CrossRef]

Tur, M.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

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, 253901 (2010).
[CrossRef]

Vasylyev, D. Y.

D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
[CrossRef]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

Vogel, W.

D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
[CrossRef]

Voloch-Bloch, N.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

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

Wang, H. T.

Wang, S. M.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Wang, T.

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

Willner, A. E.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[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, 103–106 (2010).
[CrossRef]

Wu, G.

Wu, Q.

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

Xiang, A.

K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
[CrossRef]

Xu, J.

Yalizay, B.

Yang, H.

Ye, Z.

Yu, S.

Yuan, L.

Yue, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

Yura, H. T.

Zang, W. P.

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

Zhang, B. F.

Zhang, C.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Zhang, P.

Zhang, X.

Zhang, Y.

C. Si and Y. Zhang, “Beam wander of quantization beam in a non-Kolmogorov turbulent atmosphere,” Optik 124, 1175–1178 (2013).
[CrossRef]

Zhang, Z.

Zhao, X.

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

Zheng, Z.

Zhong, L.

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

Zhong, X.

K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
[CrossRef]

Zhou, G.

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
[CrossRef]

Zhou, P.

X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
[CrossRef]

Zhu, S. N.

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

Appl. Opt. (2)

Appl. Phys. B (4)

D. Deng, C. Chen, X. Zhao, and H. Li, “Propagation of an Airy vortex beam in uniaxial crystals,” Appl. Phys. B 110, 433–436 (2013).
[CrossRef]

H. T. Eyyuboğlu and C. Z. Cil, “Beam wander of dark hollow, flat-topped and annular beams,” Appl. Phys. B 93, 595–604 (2008).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Beam wander characteristics of cos and cosh-Gaussian beams,” Appl. Phys. B 95, 763–771 (2009).
[CrossRef]

C. Z. Cil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 195–202 (2010).
[CrossRef]

Appl. Phys. Lett. (1)

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

J. Opt. (1)

C. Rosales-Guzmán, M. Mazilu, J. Baumgartl, V. Rodríguez-Fajardo, R. Ramos-García, and K. Dholakia, “Collision of propagating vortices embedded within Airy beams,” J. Opt. 15, 044001 (2013).
[CrossRef]

J. Opt. Soc. Am. A (2)

Laser Part. Beams (1)

R. Chen and K. Chew, “Far-field properties of a vortex Airy beam,” Laser Part. Beams 31, 9–15 (2013).
[CrossRef]

Laser Phys. Lett. (1)

X. Chu, Z. Liu, and P. Zhou, “Generation of a high-power Airy beam by coherent combining technology,” Laser Phys. Lett. 10, 125102 (2013).
[CrossRef]

Nat. Photonics (3)

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

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

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

Nat. Phys. (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305–310 (2007).
[CrossRef]

Nature (3)

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[CrossRef]

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494, 331–335 (2013).
[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313–316 (2001).
[CrossRef]

Opt. Commun. (1)

D. Luo, H. T. Dai, X. W. Sun, and H. V. Demir, “Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode,” Opt. Commun. 283, 3846–3849 (2010).
[CrossRef]

Opt. Express (3)

Opt. Laser Technol. (2)

R. Chen, L. Zhong, Q. Wu, and K. Chew, “Propagation properties and M2 factors of a vortex Airy beam,” Opt. Laser Technol. 44, 2015–2019 (2012).
[CrossRef]

K. Cheng, X. Zhong, and A. Xiang, “Propagation dynamics, Poynting vector and accelerating vortices of afocused Airy vortex beam,” Opt. Laser Technol. 57, 77–83 (2014).
[CrossRef]

Opt. Lett. (14)

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

D. M. Cottrell, J. A. Davis, and T. M. Hazard, “Direct generation of accelerating Airy beams using a 3/2 phase-only pattern,” Opt. Lett. 34, 2634–2636 (2009).
[CrossRef]

J. X. Li, W. P. Zang, and J. G. Tian, “Analysis of electron capture acceleration channel in an Airy beam,” Opt. Lett. 35, 3258–3260 (2010).
[CrossRef]

H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation dynamics of an optical vortex imposed on an Airy beam,” Opt. Lett. 35, 4075–4077 (2010).
[CrossRef]

J. D. Ring, C. J. Howls, and M. R. Dennis, “Incomplete Airy beams: finite energy from a sharp spectral cutoff,” Opt. Lett. 38, 1639–1641 (2013).
[CrossRef]

H. Deng and L. Yuan, “Generation of Airy-like wave with one-dimensional waveguide array,” Opt. Lett. 38, 1645–1647 (2013).
[CrossRef]

C. Chen and H. Yang, “Temporal spectrum of beam wander for Gaussian Shell-model beams propagating in atmospheric turbulence with finite outer scale,” Opt. Lett. 38, 1887–1889 (2013).
[CrossRef]

J. X. Li, X. L. Fan, W. P. Zang, and J. G. Tian, “Vacuum electron acceleration driven by two crossed Airy beams,” Opt. Lett. 36, 648–650 (2011).
[CrossRef]

S. Longhi, “Airy beams from a microchip laser,” Opt. Lett. 36, 716–718 (2011).
[CrossRef]

H. T. Dai, Y. J. Liu, D. Luo, and X. W. Sun, “Propagation properties of an optical vortex carried by an Airy beam: experimental implementation,” Opt. Lett. 36, 1617–1619 (2011).
[CrossRef]

X. Chu, “Evolution of an Airy beam in turbulence,” Opt. Lett. 36, 2701–2703 (2011).
[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, 2883–2885 (2011).
[CrossRef]

E. Abramochkin and E. Razueva, “Product of three Airy beams,” Opt. Lett. 36, 3732–3734 (2011).
[CrossRef]

X. Chu, “Propagation of an Airy beam with a spiral phase,” Opt. Lett. 37, 5202–5204 (2012).
[CrossRef]

Optik (1)

C. Si and Y. Zhang, “Beam wander of quantization beam in a non-Kolmogorov turbulent atmosphere,” Optik 124, 1175–1178 (2013).
[CrossRef]

Phys. Rev. A (2)

R. Chen and C. H. Raymond Ooi, “Nonclassicality of vortex Airy beams in the Wigner representation,” Phys. Rev. A 84, 043846 (2011).
[CrossRef]

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
[CrossRef]

Phys. Rev. E (1)

G. P. Berman, A. A. Chumak, and V. N. Gorshkov, “Beam wandering in the atmosphere: the effect of partial coherence,” Phys. Rev. E 76, 056606 (2007).
[CrossRef]

Phys. Rev. Lett. (7)

D. Y. Vasylyev, A. A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).
[CrossRef]

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]

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[CrossRef]

L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction,” Phys. Rev. Lett. 107, 126804 (2011).
[CrossRef]

I. Dolev, I. Epstein, and A. Arie, “Surface-plasmon holographic beam shaping,” Phys. Rev. Lett. 109, 203903 (2012).
[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, 253901 (2010).
[CrossRef]

Proc. SPIE (1)

M. Mazilu, J. Baumgartl, T. i már, and K. Dholakia, “Accelerating vortices in Airy beams,” Proc. SPIE 7430, 74300C (2009).
[CrossRef]

Prog. Opt. (1)

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[CrossRef]

Rev. Sci. Instrum. (1)

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004).
[CrossRef]

Sci. Rep. (1)

R. Chen, K. Chew, and S. He, “Dynamic control of collapse in a vortex Airy beam,” Sci. Rep. 3, 1–9 (2013).

Science (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, 229–232 (2009).
[CrossRef]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340, 1545–1548 (2013).
[CrossRef]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, and M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[CrossRef]

Other (1)

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE, 2005).

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 (5)

Fig. 1.
Fig. 1.

Dimensionless quantity BW of an Airy beam with a spiral phase versus propagation distance for different exponential truncation factors and topological charges. The calculation parameters are w0=5mm, Cn2=1014m2/3, and l0=1mm.

Fig. 2.
Fig. 2.

Dimensionless quantity BW of an Airy beam with a spiral phase versus exponential truncation factors for different topological charges. The calculation parameters are w0=5mm, Cn2=1014m2/3, L=1000m, and l0=1mm.

Fig. 3.
Fig. 3.

Dimensionless quantity BW of an Airy beam with a spiral phase versus propagation distance for different structure constants. The calculation parameters are a=0.11, w0=5mm, and l0=1mm.

Fig. 4.
Fig. 4.

Dimensionless quantity BW of an Airy beam with a spiral phase versus propagation distance for different transverse scales. The calculation parameters are a=0.11, Cn2=1014m2/3, and l0=1mm.

Fig. 5.
Fig. 5.

Dimensionless quantity BW of an Airy beam with a spiral phase versus propagation distance for different inner scales. The calculation parameters are a=0.11, w0=5mm, and Cn2=1014m2/3.

Equations (23)

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

u0(x0,y0)=[(x0xd)+i(y0yd)]m[(x0xd)2+(y0yd)2]m/2×Ai(x0/w0)Ai(y0/w0)exp[a(x0+y0)/w0],
I(x,y)=(k2πz)2H(p2,q2)×exp[12D(p2,q2)]exp[ikx(xp2+yq2)]dp2dq2,
H(p2,q2)=(k2πz)2u0(p1+p22,q1+q22)×uo*(p1p22,q1q22)exp[ikx(p1p2+q1q2)]dp1dq1,
D(p2,q2)=8π2k2z001[1J0(κξp22+q22)]Φ(κ)κdξdκ.
Φn(k)=0.033Cn2κ11/3exp(κ2κm2),
(x2y2)=1P(k2πz)2(x2y2)exp[12D(p2,q2)]×exp[ikz(xp2+yq2)]H(p2,q2)dp2dq2dxdy,
P=w028πaexp(4a3/3).
δ(n)(t)=12π(ix)nexp(itx)dx;n=0,1,2,
δ(n)(ax)=an1δ(n)(x);n=0,1,2,
F(x)δ(n)(x)dx=(1)nF(n)(0);n=0,1,2,
x2=y2=A+8πaw02exp(4a3/3)(Bm2z2k2w042Cmzkw02)+D,
A=z24ak2w02+3w0216a2+aw022+a4w02,
B=(q1p12+q12)2exp[2a(p1+q1)]Ai2(p1)Ai2(q1)dp1dq1,
C=(p1q1p12+q12)exp[2a(p1+q1)]Ai2(p1)Ai2(q1)dp1dq1,
D=23π2z30κ3Φn(κ)dκ=0.066π2z3Cn2κm1/3Γ(7/6).
μ2=x2xc2=A+8πaw02exp(4a3/3)(Bm2z2k2w042Cmzkw02)+D[(4a31)w04a8πamzEkw0exp(4a3/3)]2,
E=(q1p12+q12)exp[2a(p1+q1)]Ai2(p1)Ai2(q1)dp1dq1.
WLT(z)=2r2I(r,z)d2r/I(r,z)d2r=2[A+8πaw02exp(4a3/3)(Bm2z2k2w042Cmzkw02)+D[(4a31)w04a8πamzEkw0exp(4a3/3)]2]1/2.
rc2=4πk2WFS20L0κΦn(κ)exp(κ2WLT2)×{1exp[2L2κ2(1z/L)2k2WFS2]}dκdz.
rc2=0.066πΓ(5/6)k2Cn2WFS2×0L{(1κm2+WLT2)5/6[1κm2+WLT2+2L2(1z/L)2k2WFS2]5/6}dz.
x2F=A+8πaw02exp(4a3/3)(Bm2z2k2w042Cmzkw02).
cs=4π2k2z(1)s122s(s!)(2s+1)0κ2s+1Φ(κ)dκ.
x2T=x2F+2z2k2c1,

Metrics