Abstract

To controllably deflect the Airy beam in a wide range dynamic, the method of combining the classical Airy cubic phase with a diffraction blazed grating phase was adopted in this paper. By dynamically adjusting the grating parameters, the transverse self-accelerating Airy beam allows arbitrary deflection, and the deflected position can be controlled precisely. The mathematical model of the Airy beam optical field distributions generated by the combined phase patterns were proposed to explain the feasibility. Its correctness was ultimately demonstrated by the experimental results. It is significant to use this method for the Airy beam deflection control in high-precision closed-loop aiming systems.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  7. 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]
  8. 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]
  9. X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85, 013815 (2012).
    [CrossRef]
  10. D. Deng, “Propagation of Airy beams through a hard-edged aperture,” Appl. Phys. B 107, 195–200 (2012).
    [CrossRef]
  11. Y. Xu and G. Zhou, “The far-field divergent properties of an Airy beam,” Opt. Laser Technol. 44, 1318–1323 (2012).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  22. P. F. McManamon, “A review of phased array steering for narrow-band electrooptical systems,” Proc. IEEE 97, 1078–1096 (2009).
    [CrossRef]
  23. O. K. Ersoy, Diffraction, Fourier Optics and Imaging (Wiley, 2007), pp. 44–47.
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  27. Y. C. Wang, “Polarization dependence of polymer surface relief gratings,” Life Sci. J. 9, 1255–1257 (2012).

2012

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

D. Deng, “Propagation of Airy beams through a hard-edged aperture,” Appl. Phys. B 107, 195–200 (2012).
[CrossRef]

Y. Xu and G. Zhou, “The far-field divergent properties of an Airy beam,” Opt. Laser Technol. 44, 1318–1323 (2012).
[CrossRef]

Y. C. Wang, “Fast writing of surface relief gratings based on azo dye-poly(methyl methacrylate) mixtures,” Life Sci. J. 9, 1196–1198 (2012).

Y. C. Wang, “Polarization dependence of polymer surface relief gratings,” Life Sci. J. 9, 1255–1257 (2012).

2011

2010

2009

2008

2007

1987

1982

1978

Arie, A.

Bandres, M. A.

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]

Bu, J.

Chen, R.

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

Chen, Z.

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]

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]

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

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airybeams: generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and M. Roberto, eds. (Springer, 2012), pp. 1–46.

Chu, X.

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]

Cottrell, D. M.

Davis, J. A.

Degiorgio, V.

DelRe, E.

Deng, D.

D. Deng, “Propagation of Airy beams through a hard-edged aperture,” Appl. Phys. B 107, 195–200 (2012).
[CrossRef]

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.

Durnin, J.

Efremidis, N. K.

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]

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airybeams: generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and M. Roberto, eds. (Springer, 2012), pp. 1–46.

Ellenbogen, T.

Ersoy, O. K.

O. K. Ersoy, Diffraction, Fourier Optics and Imaging (Wiley, 2007), pp. 44–47.

Fujita, T.

Gaylord, T. K.

Gutierrez-Vega, J. C.

Hu, Y.

Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35, 2260–2262 (2010).
[CrossRef]

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airybeams: generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and M. Roberto, eds. (Springer, 2012), pp. 1–46.

Huang, S.

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]

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]

Koyama, J.

Li, L.

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

Liu, D.

Liu, J.

Liu, Y.

Lou, C.

Lu, C.

Magnusson, R.

McAuley, K. P.

McManamon, P. F.

P. F. McManamon, “A review of phased array steering for narrow-band electrooptical systems,” Proc. IEEE 97, 1078–1096 (2009).
[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]

Minzioni, P.

Mitry, M. J.

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]

Nishihara, H.

Pan, Y.

Parravicini, J.

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]

Prakash, J.

Ruiz, I.

Shi, R.

Siviloglou, G. 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]

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

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airybeams: generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and M. Roberto, eds. (Springer, 2012), pp. 1–46.

Soares, M.

O. Vallee and M. Soares, Airy Functions and Applications to Physics (Imperial College, 2004), pp. 9–11.

Vallee, O.

O. Vallee and M. Soares, Airy Functions and Applications to Physics (Imperial College, 2004), pp. 9–11.

Wang, J.

Wang, M.

Wang, S.

Wang, S. M.

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

Wang, Y.

Wang, Y. C.

Y. C. Wang, “Polarization dependence of polymer surface relief gratings,” Life Sci. J. 9, 1255–1257 (2012).

Y. C. Wang, “Fast writing of surface relief gratings based on azo dye-poly(methyl methacrylate) mixtures,” Life Sci. J. 9, 1196–1198 (2012).

Xie, J.

Xu, J.

Xu, Y.

Y. Xu and G. Zhou, “The far-field divergent properties of an Airy beam,” Opt. Laser Technol. 44, 1318–1323 (2012).
[CrossRef]

Yang, Y.

Yin, X.

Yuan, X.

Zhang, C.

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

Zhang, P.

Zhang, X.

Zhang, Z.

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]

Y. Xu and G. Zhou, “The far-field divergent properties of an Airy beam,” Opt. Laser Technol. 44, 1318–1323 (2012).
[CrossRef]

Zhu, S. N.

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

Appl. Opt.

Appl. Phys. B

D. Deng, “Propagation of Airy beams through a hard-edged aperture,” Appl. Phys. B 107, 195–200 (2012).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Life Sci. J.

Y. C. Wang, “Fast writing of surface relief gratings based on azo dye-poly(methyl methacrylate) mixtures,” Life Sci. J. 9, 1196–1198 (2012).

Y. C. Wang, “Polarization dependence of polymer surface relief gratings,” Life Sci. J. 9, 1255–1257 (2012).

Opt. Express

Opt. Laser Technol.

Y. Xu and G. Zhou, “The far-field divergent properties of an Airy beam,” Opt. Laser Technol. 44, 1318–1323 (2012).
[CrossRef]

Opt. Lett.

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

T. Fujita, H. Nishihara, and J. Koyama, “Blazed gratings and Fresnel lenses fabricated by electron-beam lithography,” Opt. Lett. 7, 578–580 (1982).
[CrossRef]

J. Parravicini, P. Minzioni, V. Degiorgio, and E. DelRe, “Observation of nonlinear Airy-like beam evolution in lithium niobate,” Opt. Lett. 34, 3908–3910 (2009).
[CrossRef]

I. Dolev, T. Ellenbogen, and A. Arie, “Switching the acceleration direction of Airy beams by a nonlinear optical process,” Opt. Lett. 35, 1581–1583 (2010).
[CrossRef]

Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35, 2260–2262 (2010).
[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]

P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories,” Opt. Lett. 36, 3191–3193 (2011).
[CrossRef]

R. Shi, J. Liu, J. Xu, D. Liu, Y. Pan, J. Xie, and Y. Wang, “Designing and fabricating diffractive optical elements with a complex profile by interference,” Opt. Lett. 36, 4053–4055 (2011).
[CrossRef]

Phys. Rev. A

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. Lett.

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

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

Proc. IEEE

P. F. McManamon, “A review of phased array steering for narrow-band electrooptical systems,” Proc. IEEE 97, 1078–1096 (2009).
[CrossRef]

Other

O. K. Ersoy, Diffraction, Fourier Optics and Imaging (Wiley, 2007), pp. 44–47.

Y. Hu, G. A. Siviloglou, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, “Self-accelerating Airybeams: generation, control, and applications,” in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and M. Roberto, eds. (Springer, 2012), pp. 1–46.

O. Vallee and M. Soares, Airy Functions and Applications to Physics (Imperial College, 2004), pp. 9–11.

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