Abstract

By colliding two self-guided beams (solitons), we generate one, two, three, four, or possibly more stable solitons for a broad class of nonlinear material that spans threshold to power-law nonlinearities. This reproduction is shown to depend critically on beam stability, on the standard waveguide parameter V, and on a scaled angular beam separation θ/θc. The beams can also annihilate one another or create a stable beam from two unstable beams. Beam steering is possible by differentially changing soliton power or phase. Also, the colliding solitons induce versatile optical devices for the switching and steering of small-signal beams.

© 1993 Optical Society of America

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References

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    [Crossref]
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1993 (1)

1992 (2)

S. Gatz, J. Herrmann, Opt. Lett. 17, 484 (1992).
[Crossref] [PubMed]

B. Luther-Davies, X. Yang, A. W. Snyder, Int. Photon. Res. 10, 104 (1992).

1991 (4)

1990 (1)

T. Thwaites, New Sci. 1751, 14 (1990).

1985 (1)

A. E. Kaplan, Phys. Rev. Lett. 55, 1291 (1985).
[Crossref] [PubMed]

1972 (1)

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

1964 (1)

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[Crossref]

Aitchison, J. S.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Barthelemy, A.

Chiao, R. Y.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[Crossref]

De la Fuente, R.

Froehly, C.

Garmire, E.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[Crossref]

Gatz, S.

Herrmann, J.

Jackel, J. L.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Kaplan, A. E.

A. E. Kaplan, Phys. Rev. Lett. 55, 1291 (1985).
[Crossref] [PubMed]

Leaird, D. E.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Luther-Davies, B.

B. Luther-Davies, X. Yang, A. W. Snyder, Int. Photon. Res. 10, 104 (1992).

Mitchell, D. J.

Oliver, M. K.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Shabat, A. B.

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

Shalaby, M.

Smith, P. W. E.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Snyder, A. W.

A. W. Snyder, D. J. Mitchell, Opt. Lett. 18, 101 (1993).
[Crossref] [PubMed]

B. Luther-Davies, X. Yang, A. W. Snyder, Int. Photon. Res. 10, 104 (1992).

Thwaites, T.

T. Thwaites, New Sci. 1751, 14 (1990).

Townes, C. H.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[Crossref]

Werner, A. M.

J. S. Aitchison, A. M. Werner, D. E. Leaird, M. K. Oliver, J. L. Jackel, P. W. E. Smith, Opt. Lett. 16, 14 (1991).
[Crossref]

Yang, X.

B. Luther-Davies, X. Yang, A. W. Snyder, Int. Photon. Res. 10, 104 (1992).

Zakharov, V. E.

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

Int. Photon. Res. (1)

B. Luther-Davies, X. Yang, A. W. Snyder, Int. Photon. Res. 10, 104 (1992).

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

New Sci. (1)

T. Thwaites, New Sci. 1751, 14 (1990).

Opt. Lett. (5)

Phys. Rev. Lett. (2)

A. E. Kaplan, Phys. Rev. Lett. 55, 1291 (1985).
[Crossref] [PubMed]

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[Crossref]

Sov. Phys. JETP (1)

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

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Figures (4)

Fig. 1
Fig. 1

(a) Soliton-induced waveguide parameter V of Eq. (1) necessary for a given power P/Pmin, where Pmin is the cutoff power. The waveguide is single moded for V <. π/2. Solitons are stable for V > 0.86. (b) Number of stable solitons emerging from colliding solitons A, B, C, and D from (a).

Fig. 2
Fig. 2

Induced waveguides for (a) beams with V = 0.7, θ/θc = 0.3 [i.e., A solitons of Fig. 1(a)] and (b) beams with V = 1.2, θ/θc = 1.2 [i.e., B solitons of Fig. 1(a)]. All dimensions are in millimeters.

Fig. 3
Fig. 3

Induced waveguides for (a) C solitons of Fig. 1(a) with θ/θc = 1.2 and (b) the same collision with a relative phase of 0.6 rad.

Fig. 4
Fig. 4

Effect of varying the relative phase of the input beams. Phase differences are (a) 0.3, (b) 0.6, (c) 1.5, and (d) 1.8 rad for B solitons of Fig. 1(a) with θ/θc = 0.3.

Equations (2)

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V = k ρ n max θ c ,
θ c n max - n min n max .

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