Abstract

We describe the direct experimental measurement of the transverse propagation velocities of dark spatial solitons. Good agreement is obtained from a comparison of the velocities measured experimentally and the velocities predicted by the two-dimensional theory of Zakharov and Shabat [Sov. Phys. JETP 37, 823 (1973)].

© 1990 Optical Society of America

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References

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  1. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).
  2. D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
    [CrossRef] [PubMed]
  3. A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
    [CrossRef] [PubMed]
  4. W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
    [CrossRef]
  5. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1964).
    [CrossRef]
  6. G. A. Swartzlander, A. E. Kaplan, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper ThB3.
  7. G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.
  8. K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
    [CrossRef]

1989

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

1988

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

1973

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

1966

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

1964

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

Andersen, D. R.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.

Giuliani, G.

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Grishkowsky, D.

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Halas, N. J.

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Hawkins, R. J.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Heritage, J. P.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Kaplan, A. E.

G. A. Swartzlander, A. E. Kaplan, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper ThB3.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.

Kelley, P. L.

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

Kirshner, E. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Krokel, D.

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Leaird, D. E.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Regan, J. J.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.

Rieckhoff, K. E.

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Swartzlander, G. A.

G. A. Swartzlander, A. E. Kaplan, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper ThB3.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.

Thurston, R. N.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Tomlinson, W. J.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Weiner, A. M.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Appl. Phys. Lett.

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

J. Opt. Soc. Am. B

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 349 (1989).
[CrossRef]

Phys. Rev. Lett.

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

D. Krokel, N. J. Halas, G. Giuliani, D. Grishkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirshner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Sov. Phys. JETP

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).

Other

G. A. Swartzlander, A. E. Kaplan, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper ThB3.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, A. E. Kaplan, in Digest of OSA Annual Meeting, 1989 (Optical Society of America, Washington, D.C., 1989), paper PD-7.

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Figures (2)

Fig. 1
Fig. 1

Schematic of the experimental arrangement. The incident optical beam is partially occluded by a wire and propagates through a nonlinear material of length 200 mm. The dark, even initial condition generated by the wire breaks up into one or more transversely counterpropagating dark soliton pairs. (a) Illustrates this process, and (b) indicates the definition of certain experimentally measured variables.

Fig. 2
Fig. 2

Experimental results. (a) Photographic image of the near-field intensity profile at the output face of the sample cell. Four dark-soliton pairs can readily be observed. (b) Plot of the experimentally obtained transverse velocities and the theoretical predictions of Z&S.

Equations (5)

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

λ n = Δ x n 2 l ( 2 n 0 | n 2 | E 0 2 ) 1 / 2 ,
a = ( | n 2 | E 0 2 2 n 0 ) 1 / 2 n 0 k 0 x w 2 ,
λ n = cos ( 2 λ n a ) .
θ solition < 1 n 0 k 0 ω 0 + ( | n 2 | E 0 2 2 n 0 ) 1 / 2 ,
λ n < 1 + ( 2 n 0 | n 2 | E 0 2 ) 1 / 2 1 n 0 k 0 ω 0 .

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