Abstract

The spatial effects of cross-phase modulation on a weak probe beam as it copropagates with an intense pump beam through a self-defocusing medium are investigated. Experimental results are presented that demonstrate induced focusing, beam deflection, and the spatial analog of optical wave breaking. The experimental results are in good qualitative agreement with theoretical predictions.

© 1992 Optical Society of America

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References

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  1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).
  2. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  3. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  4. J. Satsuma, N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
    [CrossRef]
  5. G. P. Agrawal, P. L. Baldeck, R. R. Alfano, Opt. Lett. 14, 137 (1989).
    [CrossRef] [PubMed]
  6. J. E. Rothenberg, Opt. Lett. 15, 495 (1990).
    [CrossRef] [PubMed]
  7. L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
    [CrossRef]
  8. M. N. Islam, Opt. Lett. 15, 417 (1990).
    [CrossRef] [PubMed]
  9. W. J. Tomlinson, R. H. Stolen, A. M. Johnson, Opt. Lett. 10, 457 (1985).
    [CrossRef] [PubMed]
  10. J. E. Rothenberg, D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
    [CrossRef] [PubMed]
  11. A. C. Boccara, D. Fournier, W. Jackson, N. M. Amer, Opt. Lett. 5, 377 (1980).
    [CrossRef] [PubMed]
  12. W. B. Jackson, N. M. Amer, A. C. Boccara, D. Fournier, Appl. Opt. 20, 1333 (1981).
    [CrossRef] [PubMed]
  13. A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).
  14. G. P. Agrawal, Phys. Rev. Lett. 64, 2487 (1990).
    [CrossRef] [PubMed]
  15. D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970).
    [CrossRef]
  16. Y. Li, D. Y. Chen, L. Yang, R. R. Alfano, Opt. Lett. 16, 438 (1991).
    [CrossRef] [PubMed]

1991 (1)

1990 (4)

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

G. P. Agrawal, Phys. Rev. Lett. 64, 2487 (1990).
[CrossRef] [PubMed]

J. E. Rothenberg, Opt. Lett. 15, 495 (1990).
[CrossRef] [PubMed]

M. N. Islam, Opt. Lett. 15, 417 (1990).
[CrossRef] [PubMed]

1989 (2)

1985 (1)

1981 (1)

1980 (2)

A. C. Boccara, D. Fournier, W. Jackson, N. M. Amer, Opt. Lett. 5, 377 (1980).
[CrossRef] [PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

1974 (1)

J. Satsuma, N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
[CrossRef]

1973 (1)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

1972 (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

1970 (1)

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Phys. Rev. Lett. 64, 2487 (1990).
[CrossRef] [PubMed]

G. P. Agrawal, P. L. Baldeck, R. R. Alfano, Opt. Lett. 14, 137 (1989).
[CrossRef] [PubMed]

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

Alfano, R. R.

Amer, N. M.

Baldeck, P. L.

Boccara, A. C.

Boggess, T. F.

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

Chen, D. Y.

Cui, A. G.

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

Dubard, J.

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

Fournier, D.

Gordon, J. P.

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Grischkowsky, D.

J. E. Rothenberg, D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef] [PubMed]

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970).
[CrossRef]

Hasegawa, A.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Islam, M. N.

Jackson, W.

Jackson, W. B.

Johnson, A. M.

Li, Y.

Mollenauer, L. F.

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Rothenberg, J. E.

J. E. Rothenberg, Opt. Lett. 15, 495 (1990).
[CrossRef] [PubMed]

J. E. Rothenberg, D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef] [PubMed]

Satsuma, J.

J. Satsuma, N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
[CrossRef]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Smirl, A. L.

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

Stolen, R. H.

W. J. Tomlinson, R. H. Stolen, A. M. Johnson, Opt. Lett. 10, 457 (1985).
[CrossRef] [PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Tappert, F.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Tomlinson, W. J.

Yajima, N.

J. Satsuma, N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
[CrossRef]

Yang, L.

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Opt. Lett. (6)

Phys. Rev. Lett. (4)

G. P. Agrawal, Phys. Rev. Lett. 64, 2487 (1990).
[CrossRef] [PubMed]

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970).
[CrossRef]

J. E. Rothenberg, D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef] [PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

A. L. Smirl, T. F. Boggess, J. Dubard, A. G. Cui, Proc. Soc. Photo-Opt. Instrum. Eng. 1307, 251 (1990).

Prog. Theor. Phys. Suppl. (1)

J. Satsuma, N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
[CrossRef]

Sov. Phys. JETP (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Other (1)

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

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Figures (4)

Fig. 1
Fig. 1

Schematic illustration of the experimental setup. The dashed line is the path of the probe beam when the pump beam is blocked.

Fig. 2
Fig. 2

Experimental realization of the transverse intensity profile of the probe beam (a) before and (b) after it copropagates with the pump beam through the sodium cell.

Fig. 3
Fig. 3

Results of a numerical simulation of the transverse intensity profile of the probe beam (a) before and (b) after it copropagates with the pump beam through the sodium cell.

Fig. 4
Fig. 4

Instantaneous nonlinear phase shift induced by a Gaussian beam in a self-defocusing nonlinear medium and the corresponding contribution to the x component of the propagation vector.

Equations (3)

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A 1 z i 2 k 2 A 1 x 2 = i k n 2 n 0 ( | A 1 | 2 + 2 | A 2 | 2 ) A 1 ,
A 2 z i 2 k 2 A 2 x 2 = i k n 2 n 0 ( | A 2 | 2 + 2 | A 1 | 2 ) A 2 ,
n 2 = 8 π 2 N μ 4 n 0 2 c ћ 3 ( ω ω 0 ) 3 ,

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