Abstract

It has been predicted that an intense pump beam can induce the focusing of a weak probe beam at a different wavelength that is simultaneously propagating in a Kerr homogeneous material through cross-phase modulation. In Kerr-type nonlinear material, spatial solitons are the only stable waves able to propagate at high-intensity levels without leading to catastrophic breakdown. We propose the use of a soliton beam to induce the stable guiding of a probe beam. Experimental results obtained with picosecond pulses are reported that evidence spatial-soliton-induced guiding.

© 1991 Optical Society of America

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References

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  1. R. R. Alfano, Q. X. Li, T. Jimbo, J. T. Manassah, P. P. Ho, Opt. Lett. 11, 626 (1986).
    [Crossref] [PubMed]
  2. P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
    [Crossref]
  3. M. N. Islam, L. F. Mollenauer, R. H. Stolen, J. R. Simpson, H. T. Shang, Opt. Lett. 12, 625 (1987).
    [Crossref] [PubMed]
  4. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 7.
  5. J. T. Manassah, Opt. Lett. 14, 396 (1989).
    [Crossref] [PubMed]
  6. G. P. Agrawal, J. Opt. Soc. Am. B 7, 1092 (1990).
    [Crossref]
  7. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1964).
    [Crossref]
  8. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  9. A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
    [Crossref]
  10. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.
  11. S. Maneuf, A. Barthelemy, C. Froehly, J. Opt. 17, 139 (1986).
    [Crossref]
  12. R. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
    [Crossref]

1990 (1)

G. P. Agrawal, J. Opt. Soc. Am. B 7, 1092 (1990).
[Crossref]

1989 (1)

1988 (1)

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

1987 (1)

1986 (2)

1985 (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[Crossref]

1977 (1)

R. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

1972 (1)

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

1964 (1)

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1964).
[Crossref]

Agrawal, G. P.

G. P. Agrawal, J. Opt. Soc. Am. B 7, 1092 (1990).
[Crossref]

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 7.

Alfano, R. R.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

R. R. Alfano, Q. X. Li, T. Jimbo, J. T. Manassah, P. P. Ho, Opt. Lett. 11, 626 (1986).
[Crossref] [PubMed]

Baldeck, P. L.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

Barthelemy, A.

S. Maneuf, A. Barthelemy, C. Froehly, J. Opt. 17, 139 (1986).
[Crossref]

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[Crossref]

Froehly, C.

S. Maneuf, A. Barthelemy, C. Froehly, J. Opt. 17, 139 (1986).
[Crossref]

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[Crossref]

Hellwarth, R.

R. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

Ho, P. P.

Islam, M. N.

Jimbo, T.

Kelley, P. L.

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1964).
[Crossref]

Li, Q. X.

Love, J. D.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

Manassah, J. T.

Maneuf, S.

S. Maneuf, A. Barthelemy, C. Froehly, J. Opt. 17, 139 (1986).
[Crossref]

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[Crossref]

Mollenauer, L. F.

Shabat, A. B.

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

Shang, H. T.

Simpson, J. R.

Snyder, A. W.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

Stolen, R. H.

Zakharov, V. E.

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

Appl. Phys. Lett. (1)

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

J. Opt. (1)

S. Maneuf, A. Barthelemy, C. Froehly, J. Opt. 17, 139 (1986).
[Crossref]

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

G. P. Agrawal, J. Opt. Soc. Am. B 7, 1092 (1990).
[Crossref]

Opt. Commun. (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Commun. 55, 201 (1985); S. Maneuf, F. Reynaud, Opt. Commun. 66, 193 (1988); J. S. Aitchinson, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[Crossref]

Opt. Lett. (3)

Phys. Rev. Lett. (1)

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1964).
[Crossref]

Prog. Quantum Electron. (1)

R. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

Sov. Phys. JETP (1)

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

Other (2)

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 7.

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Figures (2)

Fig. 1
Fig. 1

Experimental setup. M1, M2, mirrors.

Fig. 2
Fig. 2

Beam transverse profiles integrated on the duration of a single laser pulse. Top: (a) input and (b), (c) output patterns of the IR pump wave at low power (b) and for the soliton intensity (c). Bottom: (d) input and (e), (f) output patterns of the green probe wave without (e) and with (f) the simultaneous presence of the IR spatial soliton. (f) illustrated the spatial-soliton-induced guiding.

Equations (3)

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2 i K 1 ( d A 1 / d z ) + ( d 2 A 1 / d x 2 ) + ( 2 n 2 K 1 2 / n 01 ) ( A 1 2 + 2 A 2 2 ) A 1 = 0 ,
2 i K 2 ( d A 2 / d z ) + ( d 2 A 2 / d x 2 ) + ( 2 n 2 K 2 2 / n 02 ) ( A 2 2 + 2 A 1 2 ) A 2 = 0 ,
A 1 ( x ; z ) = ( 1 / K 1 ζ ) ( n 01 / n 2 ) 1 / 2 sech ( x / ζ ) exp ( i z / 2 K 1 ζ 2 ) .

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