Abstract

We have experimentally analyzed pattern formation in an optical system composed of a bulk photorefractive crystal subjected to a single optical feedback. In a highly nonlinear regime far above the modulational instability threshold, we are reporting on turbulent spatiotemporal dynamics that leads to rare, intense localized optical peaks. We have proven that the statistics and features of those peaks correspond to the signatures of two-dimensional spatial rogue events. These optical rogue waves occur erratically in space and time and live typically the same amount of time as the response time of the photorefractive material.

© 2014 Optical Society of America

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References

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    [CrossRef]

2013 (3)

J.-A. Reinoso, J. Zamora-Munt, and C. Masoller, Phys. Rev. E 87, 062913 (2013).
[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

A. Karsakilian Dal Bosco, D. Wolfersberger, and M. Sciamanna, Opt. Lett. 38, 703 (2013).
[CrossRef]

2011 (3)

M. G. Kovalsky, A. A. Hnilo, and J. R. Tredicce, Opt. Lett. 36, 4449 (2011).
[CrossRef]

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

H. Bailung, S. K. Sharma, and Y. Nakamura, Phys. Rev. Lett. 107, 255005 (2011).
[CrossRef]

2010 (1)

V. Odent, M. Taki, and E. Louvergneaux, Nat. Hazards Earth Syst. Sci. 10, 2727 (2010).
[CrossRef]

2009 (2)

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

N. Akhmediev, A. Ankiewicz, and M. Taki, Phys. Lett. A 373, 675 (2009).
[CrossRef]

2008 (1)

2007 (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

1991 (1)

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Akhmediev, N.

N. Akhmediev, A. Ankiewicz, and M. Taki, Phys. Lett. A 373, 675 (2009).
[CrossRef]

Ankiewicz, A.

N. Akhmediev, A. Ankiewicz, and M. Taki, Phys. Lett. A 373, 675 (2009).
[CrossRef]

Arecchi, F. T.

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

Bailung, H.

H. Bailung, S. K. Sharma, and Y. Nakamura, Phys. Rev. Lett. 107, 255005 (2011).
[CrossRef]

Barland, S.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Bonatto, C.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Bortolozzo, U.

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

Burdge, G. L.

Dugan, B. M.

Feyereisen, M.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Giudici, M.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Hnilo, A. A.

Jalali, B.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

Karsakilian Dal Bosco, A.

Kharif, C.

C. Kharif, E. Pelinovsky, and A. Slunyaev, Rogue Waves in the Ocean (Springer, 2009).

Koonath, P.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

Kovalsky, M. G.

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Louvergneaux, E.

V. Odent, M. Taki, and E. Louvergneaux, Nat. Hazards Earth Syst. Sci. 10, 2727 (2010).
[CrossRef]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Marsal, N.

Masoller, C.

J.-A. Reinoso, J. Zamora-Munt, and C. Masoller, Phys. Rev. E 87, 062913 (2013).
[CrossRef]

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Montemezzani, G.

Montina, A.

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

Nakamura, Y.

H. Bailung, S. K. Sharma, and Y. Nakamura, Phys. Rev. Lett. 107, 255005 (2011).
[CrossRef]

Neshev, D. N.

Odent, V.

V. Odent, M. Taki, and E. Louvergneaux, Nat. Hazards Earth Syst. Sci. 10, 2727 (2010).
[CrossRef]

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Onorato, M.

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

Pelinovsky, E.

C. Kharif, E. Pelinovsky, and A. Slunyaev, Rogue Waves in the Ocean (Springer, 2009).

Reinoso, J.-A.

J.-A. Reinoso, J. Zamora-Munt, and C. Masoller, Phys. Rev. E 87, 062913 (2013).
[CrossRef]

Residori, S.

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

Rios Leite, J. R.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Ropers, C.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

Rush, D. W.

Sciamanna, M.

Sharma, S. K.

H. Bailung, S. K. Sharma, and Y. Nakamura, Phys. Rev. Lett. 107, 255005 (2011).
[CrossRef]

Slunyaev, A.

C. Kharif, E. Pelinovsky, and A. Slunyaev, Rogue Waves in the Ocean (Springer, 2009).

Solli, D. R.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Taki, M.

V. Odent, M. Taki, and E. Louvergneaux, Nat. Hazards Earth Syst. Sci. 10, 2727 (2010).
[CrossRef]

N. Akhmediev, A. Ankiewicz, and M. Taki, Phys. Lett. A 373, 675 (2009).
[CrossRef]

Tredicce, J. R.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

M. G. Kovalsky, A. A. Hnilo, and J. R. Tredicce, Opt. Lett. 36, 4449 (2011).
[CrossRef]

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Wolfersberger, D.

Zamora-Munt, J.

J.-A. Reinoso, J. Zamora-Munt, and C. Masoller, Phys. Rev. E 87, 062913 (2013).
[CrossRef]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 961 (1979).
[CrossRef]

Nat. Hazards Earth Syst. Sci. (1)

V. Odent, M. Taki, and E. Louvergneaux, Nat. Hazards Earth Syst. Sci. 10, 2727 (2010).
[CrossRef]

Nature (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[CrossRef]

Opt. Lett. (4)

Phys. Lett. A (1)

N. Akhmediev, A. Ankiewicz, and M. Taki, Phys. Lett. A 373, 675 (2009).
[CrossRef]

Phys. Rep. (1)

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
[CrossRef]

Phys. Rev. E (1)

J.-A. Reinoso, J. Zamora-Munt, and C. Masoller, Phys. Rev. E 87, 062913 (2013).
[CrossRef]

Phys. Rev. Lett. (3)

H. Bailung, S. K. Sharma, and Y. Nakamura, Phys. Rev. Lett. 107, 255005 (2011).
[CrossRef]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Phys. Rev. Lett. 103, 173901 (2009).
[CrossRef]

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef]

Other (1)

C. Kharif, E. Pelinovsky, and A. Slunyaev, Rogue Waves in the Ocean (Springer, 2009).

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Figures (4)

Fig. 1.
Fig. 1.

Scheme of our photorefractive (PR) single feedback configuration. F and B correspond, respectively, to the forward and backward beams responsible for the pattern formation. A lens and different beam splitters (BS) monitor transverse patterns arising onto the backward beam trajectory (dashed lines) are monitored in near- and far-field (Fourier-transformed).

Fig. 2.
Fig. 2.

Snapshots corresponding to the near- (top) and far- (bottom) field intensity distributions of the backward beam (B) for different input beam intensities Iin. Images are taken from the CCD camera (Fig. 1).

Fig. 3.
Fig. 3.

Near-field distribution intensity of the backward beam in the transverse plane (x,y) for an input intensity Iin=80Wcm2. (a) 3D representation, (b) 2D intensity distribution, and (c) 1D cross-section. The red-dashed line represents the position of the abnormality factor (AF) criterion.

Fig. 4.
Fig. 4.

(a) Histogram of the AF of the intensity peaks for Iin=80Wcm2. (b) Statistical analysis of the presence of extreme events in our photorefractive system. Deviation of the PDFs from the exponential statistics when increasing Iin from 10 to 80Wcm2 (log-linear plot).

Tables (1)

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Table 1. c1 Parameters for Different Input Intensities

Equations (1)

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P(I)=Nexp(c1+c2I),

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