Abstract

A theory describing the steady-state propagation of orthogonally polarized planar bright beams in biased photorefractive media is developed. Interactions between soliton states of each polarization in a strontium barium niobate photorefractive crystal are then investigated numerically. Our results indicate that such vector interactions can lead to a number of interesting effects such as beam compression and beam steering.

© 1995 Optical Society of America

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References

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  1. M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
    [CrossRef] [PubMed]
  2. B. Crosignani, M. Segev, D. Engin, P. D. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
    [CrossRef]
  3. D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
    [CrossRef] [PubMed]
  4. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
    [CrossRef] [PubMed]
  5. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  6. D. N. Christodoulides, M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
    [CrossRef]
  7. G. Duree, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. Sharp, Opt. Lett. 19, 1195 (1994).
    [CrossRef] [PubMed]
  8. M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
    [CrossRef]
  9. M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
    [CrossRef]
  10. R. A. Vazquez, R. R. Neurgaonkar, M. D. Ewbank, J. Opt. Soc. Am. B 9, 1416 (1992).
    [CrossRef]
  11. P. Gunter, J. P. Huignard, eds., Photorefractive Materials and Their Applications (Springer-Verlag, Berlin, 1988), Vols. I and II.
    [CrossRef]
  12. V. L. Vinetskii, N. Kukhtarev, Sov. Phys. 16, 2414 (1975); N. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
  13. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).
  14. D. N. Christodoulides, R. I. Joseph, Opt. Lett. 13, 53 (1988).
    [CrossRef] [PubMed]

1995 (2)

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

D. N. Christodoulides, M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

1994 (5)

G. Duree, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. Sharp, Opt. Lett. 19, 1195 (1994).
[CrossRef] [PubMed]

D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

1993 (1)

1992 (2)

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

R. A. Vazquez, R. R. Neurgaonkar, M. D. Ewbank, J. Opt. Soc. Am. B 9, 1416 (1992).
[CrossRef]

1988 (1)

1975 (1)

V. L. Vinetskii, N. Kukhtarev, Sov. Phys. 16, 2414 (1975); N. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).

Aguilar, P. A.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Bashaw, M. C.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

Carvalho, M. I.

Castillo, M. D.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Christodoulides, D. N.

Crosignani, B.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. Duree, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. Sharp, Opt. Lett. 19, 1195 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. D. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

DiPorto, P.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Duree, G.

Engin, D.

Ewbank, M. D.

Fejer, M. M.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

Fischer, B.

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Joseph, R. I.

Kukhtarev, N.

V. L. Vinetskii, N. Kukhtarev, Sov. Phys. 16, 2414 (1975); N. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).

Mondragon, J. J.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Neurgaonkar, R. R.

Porto, P. D.

Salamo, G.

Segev, M.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. Duree, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. Sharp, Opt. Lett. 19, 1195 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. D. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Sharp, E.

Shih, M.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

Stepanov, S.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Valley, G. C.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Vazquez, R. A.

Vinetskii, V. L.

V. L. Vinetskii, N. Kukhtarev, Sov. Phys. 16, 2414 (1975); N. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).

Vysloukh, V.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

G. Duree, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. Sharp, Opt. Lett. 19, 1195 (1994).
[CrossRef] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. D. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Electron. Lett. (1)

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Lett. (3)

Phys. Rev. A (1)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. C. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Sov. Phys. (1)

V. L. Vinetskii, N. Kukhtarev, Sov. Phys. 16, 2414 (1975); N. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).

P. Gunter, J. P. Huignard, eds., Photorefractive Materials and Their Applications (Springer-Verlag, Berlin, 1988), Vols. I and II.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Evolution of a y-polarized probe beam with r2 = 0.1 when it copropagates with an x-polarized r1 = 40 pump.

Fig. 2
Fig. 2

Interaction between r1 = r2 = 1 xy-polarized beams when their initial separation is Δs = 0.5. The normalized intensities |X|2 and |Y|2 are represented by solid and dashed curves, respectively.

Equations (6)

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

i U z + 1 2 k U x x + γ 1 U - n e 4 k 0 2 r 33 E x 2 k U = 0 ,
i V z + 1 2 k V x x + γ 2 V - n o 4 k 0 2 r 13 E x 2 k V = 0 ,
E x ( x , z ) = E 0 R e R d + 1 W - W / 2 W / 2 d x I d I ( x , z ) + I d × I d I ( x , z ) + I d ,
E x ( x , z ) = E 0 I d I ( x , z ) + I d .
i X ξ + X s s 2 - β 1 X 1 + X 2 + Y 2 = 0 ,
i Y ξ + Y s s 2 - β 2 Y 1 + X 2 + Y 2 = 0 ,

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