Abstract

Optical pattern selection by use of spatial phase modulation is investigated experimentally in a photorefractive feedback system. A feedback mirror with spatially periodic phase modulation is used for selection of different spatial patterns. Local phase modulation is used to create patterns with coexisting spatial symmetries. The experimental results are consistent with numerical simulations based on a model with a cubicly nonlinear medium.

© 1999 Optical Society of America

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References

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    [Crossref]
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    [Crossref] [PubMed]
  3. R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
    [Crossref] [PubMed]
  4. M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
    [Crossref]
  5. P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
    [Crossref]
  6. A. V. Mamaev and M. Saffman, Phys. Rev. Lett. 80, 3499 (1998).
    [Crossref]
  7. S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
    [Crossref]
  8. M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
    [Crossref]
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    [Crossref] [PubMed]
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  17. The spatial light modulator was manufactured by Hamamatsu Corporation and had a continuous (nonpixellated) active area of ?1 cm2.
  18. W. J. Firth, J. Mod. Opt. 37, 151 (1990).
    [Crossref]

1998 (4)

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

A. V. Mamaev and M. Saffman, Phys. Rev. Lett. 80, 3499 (1998).
[Crossref]

S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
[Crossref]

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

1997 (1)

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

1996 (2)

W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. Lett. 76, 3316 (1996).
[Crossref] [PubMed]

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

1994 (1)

1993 (2)

T. Honda, Opt. Lett. 18, 598 (1993).
[Crossref]

J. A. Sepulchre and A. Babloyantz, Phys. Rev. E 48, 945 (1993); G. Hu and Z. L. Qu, Phys. Rev. Lett. 72, 68 (1994); D. Auerbath, Phys. Rev. Lett. 72, 1184 (1994).
[Crossref]

1992 (1)

K. Pyragas, Phys. Rev. Lett. 170, 421 (1992).
[Crossref]

1991 (3)

Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991).
[Crossref] [PubMed]

A. Azevedo and S. M. Rezende, Phys. Rev. Lett. 66, 1342 (1991).
[Crossref] [PubMed]

E. R. Hunt, Phys. Rev. Lett. 67, 1953 (1991).
[Crossref] [PubMed]

1990 (3)

W. J. Firth, J. Mod. Opt. 37, 151 (1990).
[Crossref]

R. Lima and M. Pettini, Phys. Rev. A 41, 726 (1990).
[Crossref] [PubMed]

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[Crossref] [PubMed]

Anderson, D. Z.

Azevedo, A.

A. Azevedo and S. M. Rezende, Phys. Rev. Lett. 66, 1342 (1991).
[Crossref] [PubMed]

Babloyantz, A.

J. A. Sepulchre and A. Babloyantz, Phys. Rev. E 48, 945 (1993); G. Hu and Z. L. Qu, Phys. Rev. Lett. 72, 68 (1994); D. Auerbath, Phys. Rev. Lett. 72, 1184 (1994).
[Crossref]

Bleich, M. E.

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

Braiman, Y.

Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991).
[Crossref] [PubMed]

Ciofini, M.

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

Dai, J.-H.

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

Denz, C.

S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
[Crossref]

Firth, W. J.

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

W. J. Firth, J. Mod. Opt. 37, 151 (1990).
[Crossref]

Goldhirsch, I.

Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991).
[Crossref] [PubMed]

Grebogi, C.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[Crossref] [PubMed]

Harrison, R. G.

W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. Lett. 76, 3316 (1996).
[Crossref] [PubMed]

Hochheiser, D.

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

Honda, T.

Hunt, E. R.

E. R. Hunt, Phys. Rev. Lett. 67, 1953 (1991).
[Crossref] [PubMed]

Juul Jensen, S.

S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
[Crossref]

Labate, A.

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

Lima, R.

R. Lima and M. Pettini, Phys. Rev. A 41, 726 (1990).
[Crossref] [PubMed]

Lu, W.

W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. Lett. 76, 3316 (1996).
[Crossref] [PubMed]

Mamaev, A. V.

A. V. Mamaev and M. Saffman, Phys. Rev. Lett. 80, 3499 (1998).
[Crossref]

Martin, R.

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

Meucci, R.

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

Moloney, J. V.

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

Oppo, G.-L.

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

Ott, E.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[Crossref] [PubMed]

Pettini, M.

R. Lima and M. Pettini, Phys. Rev. A 41, 726 (1990).
[Crossref] [PubMed]

Pyragas, K.

K. Pyragas, Phys. Rev. Lett. 170, 421 (1992).
[Crossref]

Rezende, S. M.

A. Azevedo and S. M. Rezende, Phys. Rev. Lett. 66, 1342 (1991).
[Crossref] [PubMed]

Saffman, M.

Schwab, M.

S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
[Crossref]

Scroggie, A. J.

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

Sepulchre, J. A.

J. A. Sepulchre and A. Babloyantz, Phys. Rev. E 48, 945 (1993); G. Hu and Z. L. Qu, Phys. Rev. Lett. 72, 68 (1994); D. Auerbath, Phys. Rev. Lett. 72, 1184 (1994).
[Crossref]

Socolar, J. E. S.

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

Wang, P.-Y.

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

Xie, P.

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

Yorke, J. A.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[Crossref] [PubMed]

Yu, D.

W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. Lett. 76, 3316 (1996).
[Crossref] [PubMed]

Zhang, H.-J.

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

Zozulya, A. A.

J. Mod. Opt. (1)

W. J. Firth, J. Mod. Opt. 37, 151 (1990).
[Crossref]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

M. Ciofini, A. Labate, R. Meucci, and P.-Y. Wang, Opt. Commun. 154, 307 (1998); R. Meucci, A. Labate, M. Ciofini, and P.-Y. Wang, Quantum Semiclassic. Opt. 10, 803 (1998).
[Crossref]

Opt. Lett. (1)

Phys. Rev. A (1)

R. Lima and M. Pettini, Phys. Rev. A 41, 726 (1990).
[Crossref] [PubMed]

Phys. Rev. E (2)

J. A. Sepulchre and A. Babloyantz, Phys. Rev. E 48, 945 (1993); G. Hu and Z. L. Qu, Phys. Rev. Lett. 72, 68 (1994); D. Auerbath, Phys. Rev. Lett. 72, 1184 (1994).
[Crossref]

M. E. Bleich, D. Hochheiser, J. V. Moloney, and J. E. S. Socolar, Phys. Rev. E 55, 2119 (1997).
[Crossref]

Phys. Rev. Lett. (10)

P.-Y. Wang, P. Xie, J.-H. Dai, and H.-J. Zhang, Phys. Rev. Lett. 80, 4669 (1998).
[Crossref]

A. V. Mamaev and M. Saffman, Phys. Rev. Lett. 80, 3499 (1998).
[Crossref]

S. Juul Jensen, M. Schwab, and C. Denz, Phys. Rev. Lett. 81, 1614 (1998).
[Crossref]

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[Crossref] [PubMed]

E. R. Hunt, Phys. Rev. Lett. 67, 1953 (1991).
[Crossref] [PubMed]

K. Pyragas, Phys. Rev. Lett. 170, 421 (1992).
[Crossref]

W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. Lett. 76, 3316 (1996).
[Crossref] [PubMed]

R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. Lett. 77, 4007 (1996).
[Crossref] [PubMed]

Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991).
[Crossref] [PubMed]

A. Azevedo and S. M. Rezende, Phys. Rev. Lett. 66, 1342 (1991).
[Crossref] [PubMed]

Other (1)

The spatial light modulator was manufactured by Hamamatsu Corporation and had a continuous (nonpixellated) active area of ?1 cm2.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Selecting optical patterns by spatial phase modulation: a, hexagons obtained without modulation; b–d, rolls obtained in the direction of the modulation; e, squares obtained with modulation composed of two perpendicular sinusoids. The input intensity was 50% above the threshold. Columns from left to right: experimental near field, experimental far field, numerical near field, and numerical far field.

Fig. 3
Fig. 3

Selecting patterns with spatially segmented modulation: a, patterns with a roll modulation on the left half and without modulation on the right half; b, patterns obtained with hexagonal modulation on the left half and roll modulation on the right half; c, patterns obtained with hexagonal modulation on the left half and square modulation on the right half. Columns from left to right: experimental near field, experimental far field, numerical near field, and numerical far field.

Equations (3)

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

τt+1δn=D2δn+γF2+B21+F2+B2,
zFx,y,zBx,y,z=±i2k2Fx,y,zBx,y,z.
Bx,y,zm=RFx,y,zmexpiϕx,y,

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