Abstract

We present experimental control of the acceleration direction of Airy beams generated by nonlinear three-wave mixing processes in an asymmetrically poled nonlinear photonic crystal. Changing the crystal temperature enabled us to switch the phase matching condition between second-harmonic generation and difference-frequency generation in the same nonlinear crystal and thereby to change the acceleration direction and the wavelength of the output Airy beam. All-optical control of the acceleration direction can be also realized at a fixed crystal temperature by using a tunable pump source and selecting the proper crystal poling period.

© 2010 Optical Society of America

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  1. M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
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  2. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
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  6. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Opt. Lett. 33, 207 (2008).
    [CrossRef] [PubMed]
  7. J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
    [CrossRef]
  8. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
    [CrossRef] [PubMed]
  9. T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
    [CrossRef]
  10. I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
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  11. A. Bahabad and A. Arie, Opt. Express 15, 17619 (2007).
    [CrossRef] [PubMed]
  12. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).
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    [CrossRef]

2009 (4)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

2008 (4)

2007 (3)

1979 (1)

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Agrawal, G. P.

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

Alfano, R. R.

Arie, A.

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

A. Bahabad and A. Arie, Opt. Express 15, 17619 (2007).
[CrossRef] [PubMed]

Bahabad, A.

Balazs, N. L.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Baumgartl, J.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
[CrossRef]

Berry, M. V.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Broky, J.

Christodoulides, D. N.

Dholakia, K.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
[CrossRef]

Dogariu, A.

Dolev, I.

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

Ellenbogen, T.

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

Gadret, G.

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

Ganany-Padowicz, A.

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

Gayer, O.

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

Kolesik, M.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Mangin, J.

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

Mazilu, M.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
[CrossRef]

Moloney, J. V.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Polynkin, P.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Siviloglou, G. A.

Sztul, H. I.

Voloch, N.

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Appl. Phys. B (1)

I. Dolev, A. Ganany-Padowicz, O. Gayer, J. Mangin, G. Gadret, and A. Arie, Appl. Phys. B 96, 423 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

I. Dolev, T. Ellenbogen, N. Voloch, and A. Arie, Appl. Phys. Lett. 95, 201112 (2009).
[CrossRef]

Nat. Photonics (2)

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
[CrossRef]

T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, and A. Arie, Nat. Photonics 3, 395 (2009).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Phys. Rev. Lett. (1)

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Science (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Other (1)

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

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Figures (4)

Fig. 1
Fig. 1

DFG experimental setup.

Fig. 2
Fig. 2

Generated power versus relative temperature (with respect to phase-matching temperature): (a) DFG, (b) SHG (sample length: SHG, 1 mm ; DFG, 10 mm ).

Fig. 3
Fig. 3

CCD images of the output Airy beams profile at focal plane: (a) DFG, (b) SHG.

Fig. 4
Fig. 4

Controlling the acceleration direction of the generated Airy beams. Beams propagate from bottom to top, normalized scale. Experimental results: (a) DFG, (c) SHG, (e) pump wave of the SHG experiment; simulation results: (b) DFG, (d) SHG.

Equations (2)

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Δ A 2 ( x , y ) + k 2 2 A 2 ( x , y ) = κ A 1 2 exp ( i ( k 1 + k 1 k 2 + 2 π f x ) x + i f c y 3 ) ,
Δ A 2 ( x , y ) + k 2 2 A 2 ( x , y ) = κ A 3 A 1 * exp ( i ( k 3 k 1 k 2 2 π f x ) x i f c y 3 ) ,

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