Abstract

Interference fringes produced by the intersection of two plane waves in photorefractive strontium barium niobate crystal break in the transverse direction if the external electric field is high enough. For a certain relation between fringe spacing and nonlinearity strength, the tendency to regular pattern formation has been observed. We present a simple theory that qualitatively explains this effect.

© 2002 Optical Society of America

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References

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  1. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [Crossref] [PubMed]
  2. Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
    [Crossref]
  3. A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
    [Crossref]
  4. A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
    [Crossref] [PubMed]
  5. E. Infeld and T. Lenkowska Czervinska, Phys. Rev. E 55, 6101 (1997).
    [Crossref]
  6. C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
    [Crossref] [PubMed]
  7. M. D. Iturbe-Castillo, M. Torres-Cisneros, J. J. Sánchez-Mondragón, S. Chávez-Cerda, S. Stepanov, V. A. Vysloukh, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
    [Crossref] [PubMed]
  8. N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
    [Crossref]
  9. N. Korneev, J. Mod. Opt. 48, 751 (2001).
    [Crossref]

2001 (2)

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
[Crossref]

N. Korneev, J. Mod. Opt. 48, 751 (2001).
[Crossref]

2000 (2)

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[Crossref]

1999 (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

1997 (1)

E. Infeld and T. Lenkowska Czervinska, Phys. Rev. E 55, 6101 (1997).
[Crossref]

1996 (2)

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[Crossref]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[Crossref] [PubMed]

1995 (1)

Anastassiou, C.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Apolinar-Iribe, A.

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
[Crossref]

Basurto Pensado, M. C.

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
[Crossref]

Chávez-Cerda, S.

Christodoulides, D. N.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Eugenieva, E. D.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Infeld, E.

E. Infeld and T. Lenkowska Czervinska, Phys. Rev. E 55, 6101 (1997).
[Crossref]

Iturbe-Castillo, M. D.

Kip, D.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Kivshar, Y. S.

Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[Crossref]

Korneev, N.

N. Korneev, J. Mod. Opt. 48, 751 (2001).
[Crossref]

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
[Crossref]

Lenkowska Czervinska, T.

E. Infeld and T. Lenkowska Czervinska, Phys. Rev. E 55, 6101 (1997).
[Crossref]

Mamaev, A. V.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[Crossref]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[Crossref] [PubMed]

Musslimani, Z. H.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Pelinovsky, D. E.

Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[Crossref]

Saffman, M.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[Crossref] [PubMed]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[Crossref]

Sánchez-Mondragón, J. J.

Segev, M.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

Soljacic, M.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Stegeman, G. I.

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

Stepanov, S.

Torres, J. P.

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Torres-Cisneros, G. E.

Torres-Cisneros, M.

Vysloukh, V. A.

Zozulya, A. A.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[Crossref]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[Crossref] [PubMed]

Europhys. Lett. (1)

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[Crossref]

J. Mod. Opt. (1)

N. Korneev, J. Mod. Opt. 48, 751 (2001).
[Crossref]

Opt. Commun. (1)

N. Korneev, A. Apolinar-Iribe, V. A. Vysloukh, and M. C. Basurto Pensado, Opt. Commun. 197, 209 (2001).
[Crossref]

Opt. Lett. (1)

Phys. Rep. (1)

Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
[Crossref]

Phys. Rev. A (1)

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[Crossref] [PubMed]

Phys. Rev. E (1)

E. Infeld and T. Lenkowska Czervinska, Phys. Rev. E 55, 6101 (1997).
[Crossref]

Phys. Rev. Lett. (1)

C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
[Crossref] [PubMed]

Science (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[Crossref] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Diagram of the experimental setup. f1=12.5 cm and f2=15 cm. L1,L2, lenses; C, crystal c axis.

Fig. 2
Fig. 2

Amplification of the signal intensity versus voltage applied to the crystal for extraordinary polarization. The signal beam’s intensity after the crystal without external voltage is 0.42 µW; the pump beam’s intensity is 213 µW. The angles between signal beams are 0.027 (filled triangles), 0.013 (crosses), and 0.04 (open squares) rad. Inset, intensity of the signal beams versus the angle between them for 300 V. The angle between pump waves is 0.027 rad. The curves are guides for the eye.

Fig. 3
Fig. 3

Photographs of the output fringes for voltages (a) 0, (b) 400, and (c) 600 V applied to the crystal. Both seed and pump beams are present. All beams have extraordinary polarization, and the angle between pairs is 0.027 rad.

Equations (7)

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iqZ=122qX2+2qY2+Rμq21+q2q,
qX,Y,Z=B1ZexpiKx+B2Zexp-iKX+b1ZexpiκY+b2Zexp-iκY,
idB1dZ=-12K2B1+RμB1B1*+2B2B2*1+μB1B1*+B2B2*B1
idB1dZ=-12κ2b1+2Reb1+2Rew0B1B2b2*.
dρdZ=Reρ sinσZ-2φ, dφdZ=-Re cosσZ-2φ,
ρ2Z=ρ02cos2σ2-4Re21/2Z/2+κH2-κ2κ2-κL2sin2σ2-4Re21/2Z/2,
ρ2Z=ρ02ch2gZ/2+κH2-κ2κ2-κL2sh2gZ/2,

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