Abstract

We analyze numerically the dynamics of optical patterns in a photorefractive single feedback system where a vortex beam is used as the input beam. Depending on the topological charge of the vortex and on the nonlinear photorefractive coupling strength, we observe different pattern geometries with a rotating dynamics.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
  6. F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2010 (1)

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

2009 (1)

A. S. Desyatnikov and Y. S. Kivshar, Topologica 2, 005 (2009).
[CrossRef]

2008 (1)

2005 (1)

2001 (1)

O. Sandfuchs, F. Kaiser, and M. R. Belic, Phys. Rev. A 64, 063809 (2001).
[CrossRef]

2000 (2)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

1999 (3)

J. Scheuer and M. Orenstein, Science 285, 230 (1999).
[CrossRef] [PubMed]

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. L. Ramazza, Phys. Rep. 318, 1 (1999).
[CrossRef]

1996 (1)

A. V. Mamaev and M. Saffman, Phys. Scr. T67, 21 (1996).
[CrossRef]

1994 (1)

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef] [PubMed]

1993 (1)

1991 (1)

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Ackemann, T.

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef] [PubMed]

Arecchi, F. T.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

F. T. Arecchi, S. Boccaletti, and P. L. Ramazza, Phys. Rep. 318, 1 (1999).
[CrossRef]

Arsenovic, D.

Battipede, F.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Belic, M.

Belic, M. R.

O. Sandfuchs, F. Kaiser, and M. R. Belic, Phys. Rev. A 64, 063809 (2001).
[CrossRef]

Boccaletti, S.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

F. T. Arecchi, S. Boccaletti, and P. L. Ramazza, Phys. Rep. 318, 1 (1999).
[CrossRef]

Brambilla, M.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Christodoulides, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Denz, C.

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

Desyatnikov, A. S.

A. S. Desyatnikov and Y. S. Kivshar, Topologica 2, 005 (2009).
[CrossRef]

Ducci, S.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Honda, T.

Jensen, S. J.

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

Jovic, D.

Kaiser, F.

O. Sandfuchs, F. Kaiser, and M. R. Belic, Phys. Rev. A 64, 063809 (2001).
[CrossRef]

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Kivshar, Y. S.

A. S. Desyatnikov and Y. S. Kivshar, Topologica 2, 005 (2009).
[CrossRef]

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Lange, W.

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef] [PubMed]

Lugiato, L. A.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Mamaev, A. V.

A. V. Mamaev and M. Saffman, Phys. Scr. T67, 21 (1996).
[CrossRef]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Marsal, N.

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

N. Marsal, D. Wolfersberger, M. Sciamanna, G. Montemezzani, and D. N. Neshev, Opt. Lett. 33, 2509 (2008).
[CrossRef] [PubMed]

Montemezzani, G.

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

N. Marsal, D. Wolfersberger, M. Sciamanna, G. Montemezzani, and D. N. Neshev, Opt. Lett. 33, 2509 (2008).
[CrossRef] [PubMed]

Neshev, D. N.

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Orenstein, M.

J. Scheuer and M. Orenstein, Science 285, 230 (1999).
[CrossRef] [PubMed]

Pampaloni, E.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

Penna, V.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Petrovic, M.

Prati, F.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Ramazza, P. L.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

F. T. Arecchi, S. Boccaletti, and P. L. Ramazza, Phys. Rep. 318, 1 (1999).
[CrossRef]

Residori, S.

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

Saffman, M.

A. V. Mamaev and M. Saffman, Phys. Scr. T67, 21 (1996).
[CrossRef]

Sandfuchs, O.

O. Sandfuchs, F. Kaiser, and M. R. Belic, Phys. Rev. A 64, 063809 (2001).
[CrossRef]

Scheuer, J.

J. Scheuer and M. Orenstein, Science 285, 230 (1999).
[CrossRef] [PubMed]

Schwab, M.

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

Sciamanna, M.

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

N. Marsal, D. Wolfersberger, M. Sciamanna, G. Montemezzani, and D. N. Neshev, Opt. Lett. 33, 2509 (2008).
[CrossRef] [PubMed]

Segev, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Soljacic, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Strinic, A.

Tamm, C.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Tschudi, T.

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Weiss, C. O.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

Wolfersberger, D.

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

N. Marsal, D. Wolfersberger, M. Sciamanna, G. Montemezzani, and D. N. Neshev, Opt. Lett. 33, 2509 (2008).
[CrossRef] [PubMed]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

F. T. Arecchi, S. Boccaletti, S. Ducci, E. Pampaloni, P. L. Ramazza, and S. Residori, J. Nonlinear Opt. Phys. Mater. 9, 183 (2000).

J. Opt. B (1)

C. Denz, S. J. Jensen, M. Schwab, and T. Tschudi, J. Opt. B 1, 114 (1999).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rep. (1)

F. T. Arecchi, S. Boccaletti, and P. L. Ramazza, Phys. Rep. 318, 1 (1999).
[CrossRef]

Phys. Rev. A (4)

N. Marsal, D. Wolfersberger, M. Sciamanna, and G. Montemezzani, Phys. Rev. A 81, 031804(R) (2010).
[CrossRef]

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef] [PubMed]

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 9 (1991).
[CrossRef]

O. Sandfuchs, F. Kaiser, and M. R. Belic, Phys. Rev. A 64, 063809 (2001).
[CrossRef]

Phys. Scr. (1)

A. V. Mamaev and M. Saffman, Phys. Scr. T67, 21 (1996).
[CrossRef]

Science (2)

J. Scheuer and M. Orenstein, Science 285, 230 (1999).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Topologica (1)

A. S. Desyatnikov and Y. S. Kivshar, Topologica 2, 005 (2009).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Scheme of our photorefractive single feedback system. Labels are defined in the text.

Fig. 2
Fig. 2

Patterns obtained with a Gaussian beam ( Γ L c = 3.84 ) and a vortex beam ( c = 1 , Γ L c = 3.8 ). The pattern (j), (k), (l) is transient and is plotted at t = 186 τ .

Fig. 3
Fig. 3

Temporal evolution of the cross section of the backward beam propagating in our single feedback system. The input beams are a Gaussian beam, a vortex of topological charge c = 1 , and a vortex of topological charge c = 4 . Γ L c = 3.9 in the three cases.

Fig. 4
Fig. 4

Patterns obtained with vortices of topological charges + 2 , + 3 , and + 4 . Γ L c = 3.8 .

Fig. 5
Fig. 5

Coupling strength threshold necessary for pattern formation in a single feedback system with a Gaussian, with doughnut-shaped beam and vortex beams of topological charge from 1 to 4.

Equations (4)

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

z F + i f Δ 2 F = Q B ,
z B + i f Δ 2 B = Q * F ,
τ t Q + Q = Γ F B * | F | 2 + | B | 2 ,
F ( r , θ ) = F 0 ( r w 0 ) c exp { ( r w 0 ) 2 } exp ( i c θ ) ,

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