Abstract

We propagate two coherent and parallel beams of a He–Ne laser through a Bi12TiO20 photorefractive crystal in the presence of drift nonlinearity. Our experimental results demonstrate that the beams attract or repel each other according to their initial phase difference. They attract each other when they are initially in phase and they repel each other when they are initially out of phase. These experimental results agree with numerical predictions recently published.

© 1997 Optical Society of America

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  1. A. Hasegawa, Opt. Lett. 5, 416 (1980)J. P. Gordon, Opt. Lett. 8, 596 (1983).
    [CrossRef] [PubMed]
  2. W. Zhao and E. Bourkoff, Opt. Lett. 14, 1371 (1989)A. P. Sheppard, Opt. Commun. 102, 317 (1993)L. Lerner, D. J. Mitchell, and A. W. Snyder, Opt. Lett. 19, 1302 (1994).
    [CrossRef] [PubMed]
  3. F. Reynaud and A. Barthelemy, Europhys. Lett. 12, 401 (1990)G. R. Allan, S. R. Skinner, D. R. Andersen, and A. L. Smirl, Opt. Lett. 16, 156 (1991).
    [CrossRef] [PubMed]
  4. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5.
  5. G. A. Swartzlander, Opt. Lett. 17, 493 (1992).
    [CrossRef]
  6. N. Akhmediev and A. Ankiewics, Opt. Commun. 100, 183 (1993).
    [CrossRef]
  7. G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [CrossRef] [PubMed]
  8. M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
    [CrossRef]
  9. M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
    [CrossRef]
  10. G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
    [CrossRef] [PubMed]
  11. S. R. Singh and D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
    [CrossRef]
  12. M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  13. M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, V. A. Vysloukh, S. I. Stepanov, S. Chávez-Cerda, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
    [CrossRef] [PubMed]
  14. A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
    [CrossRef]
  15. S. Trillo and S. Wabnitz, Opt. Lett. 16, 986 (1991).
    [CrossRef] [PubMed]
  16. S. Gatz and J. Herrmann, J. Opt. Soc. Am. B 8, 2296 (1991).
    [CrossRef]
  17. S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

1996 (1)

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

1995 (3)

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, V. A. Vysloukh, S. I. Stepanov, S. Chávez-Cerda, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
[CrossRef] [PubMed]

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

S. R. Singh and D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

1994 (3)

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

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

1993 (2)

N. Akhmediev and A. Ankiewics, Opt. Commun. 100, 183 (1993).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

1992 (1)

1991 (2)

1990 (1)

F. Reynaud and A. Barthelemy, Europhys. Lett. 12, 401 (1990)G. R. Allan, S. R. Skinner, D. R. Andersen, and A. L. Smirl, Opt. Lett. 16, 156 (1991).
[CrossRef] [PubMed]

1989 (1)

1980 (1)

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5.

Akhmediev, N.

N. Akhmediev and A. Ankiewics, Opt. Commun. 100, 183 (1993).
[CrossRef]

Anderson, D. Z.

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

Ankiewics, A.

N. Akhmediev and A. Ankiewics, Opt. Commun. 100, 183 (1993).
[CrossRef]

Barthelemy, A.

F. Reynaud and A. Barthelemy, Europhys. Lett. 12, 401 (1990)G. R. Allan, S. R. Skinner, D. R. Andersen, and A. L. Smirl, Opt. Lett. 16, 156 (1991).
[CrossRef] [PubMed]

Bourkoff, E.

Carvalho, M. I.

S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

Chávez-Cerda, S.

Christodoulides, D. N.

S. R. Singh and D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

Crosignani, B.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

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

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Di Porto, P.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

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

Duree, G.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

Duree, G. C.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Gatz, S.

Hasegawa, A.

Herrmann, J.

Iturbe-Castillo, M. D.

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, V. A. Vysloukh, S. I. Stepanov, S. Chávez-Cerda, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
[CrossRef] [PubMed]

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Mamev, A. V.

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

Márquez-Aguilar, P. A.

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Morin, M.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

Neurgaonkar, R. R.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Porto, P. D.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Reynaud, F.

F. Reynaud and A. Barthelemy, Europhys. Lett. 12, 401 (1990)G. R. Allan, S. R. Skinner, D. R. Andersen, and A. L. Smirl, Opt. Lett. 16, 156 (1991).
[CrossRef] [PubMed]

Saffman, M.

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

Salamo, G.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

Salamo, G. J.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Sánchez-Mondragón, J. J.

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, V. A. Vysloukh, S. I. Stepanov, S. Chávez-Cerda, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
[CrossRef] [PubMed]

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Segev, M.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

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

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

Sharp, E.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Sharp, J.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Shultz, J. L.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Singh, S. R.

S. R. Singh and D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

Stepanov, S.

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Stepanov, S. I.

Swartzlander, G. A.

Torres-Cisneros, G. E.

Trillo, S.

Valley, G. C.

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

Vysloukh, V.

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Vysloukh, V. A.

Wabnitz, S.

Yariv, A.

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

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

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Zhao, W.

Zozulya, A. A.

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

Appl. Phys. Lett. (1)

M. D. Iturbe-Castillo, P. A. Márquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 484 (1994).
[CrossRef]

Europhys. Lett. (1)

F. Reynaud and A. Barthelemy, Europhys. Lett. 12, 401 (1990)G. R. Allan, S. R. Skinner, D. R. Andersen, and A. L. Smirl, Opt. Lett. 16, 156 (1991).
[CrossRef] [PubMed]

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

Opt. Commun. (2)

S. R. Singh and D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

N. Akhmediev and A. Ankiewics, Opt. Commun. 100, 183 (1993).
[CrossRef]

Opt. Lett. (5)

Opt. Photon. News (1)

M. Segev, G. Salamo, G. Duree, M. Morin, B. Crosignani, P. Di Porto, and A. Yariv, Opt. Photon. News 5(1), 9 (1994).
[CrossRef]

Phys. Rev. A (1)

A. V. Mamev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef]

Phys. Rev. Lett. (3)

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

G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5.

S. R. Singh, D. N. Christodoulides, M. I. Carvalho, and M. Segev, in Quantum Electronics and Laser Science Conference, Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), paper QWE22, p. 128.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: CBS's, cube beam splitters.

Fig. 2
Fig. 2

Experimental output profiles for three values of the relative phase of the initial beams: (a) ϕ=0, (b) ϕ=0.65π, and (c) ϕ=π. The input profiles of the initial beams are graphed with dashed curves in a.

Fig. 3
Fig. 3

Numerical results of Eq.  (1) corresponding to the experimental parameters used in Fig. 2.

Fig. 4
Fig. 4

Relative separation of the output beam with respect to the separation of the input beams as a function of the initial beam separation. Open circles are experimental results, and filled squares are numerical results.

Equations (1)

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iqZ=122qX2+μR|q|21+μ|q|2q.

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