Abstract

To break cylindrical symmetry and to achieve fully three-dimensional collisions of bistable light bullets, we have investigated the effect of a varying impact parameter. Novel effects such as soliton tunneling and spiral arm formation have been observed, some of which have no direct one-dimensional analog. The extreme stability and attractorlike behavior of optical bullets is demonstrated.

© 1993 Optical Society of America

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References

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  1. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
    [CrossRef] [PubMed]
  2. R. H. Enns, S. S. Rangnekar, Phys. Rev. A 45, 3354 (1992).
    [CrossRef] [PubMed]
  3. D. E. Edmundson, R. H. Enns, Opt. Lett. 17, 586 (1992).
    [CrossRef] [PubMed]
  4. N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A 47, 1358 (1993).
    [CrossRef] [PubMed]
  5. R. H. Enns, D. E. Edmundson, Phys. Rev. A 47, 4524 (1993).
    [CrossRef] [PubMed]
  6. M. D. Feit, J. A. Fleck, Appl. Opt. 17, 3990 (1978).
    [CrossRef] [PubMed]
  7. These animations are viewable on DOS, Unix (X-Windows), and Macintosh systerns. Interested readers are encouraged to contact the authors at dedmunds@sfu.ca for information regarding ftp access.

1993 (2)

N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A 47, 1358 (1993).
[CrossRef] [PubMed]

R. H. Enns, D. E. Edmundson, Phys. Rev. A 47, 4524 (1993).
[CrossRef] [PubMed]

1992 (2)

1990 (1)

1978 (1)

Akhmediev, N.

N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A 47, 1358 (1993).
[CrossRef] [PubMed]

Edmundson, D. E.

Enns, R. H.

R. H. Enns, D. E. Edmundson, Phys. Rev. A 47, 4524 (1993).
[CrossRef] [PubMed]

D. E. Edmundson, R. H. Enns, Opt. Lett. 17, 586 (1992).
[CrossRef] [PubMed]

R. H. Enns, S. S. Rangnekar, Phys. Rev. A 45, 3354 (1992).
[CrossRef] [PubMed]

Feit, M. D.

Fleck, J. A.

Rangnekar, S. S.

R. H. Enns, S. S. Rangnekar, Phys. Rev. A 45, 3354 (1992).
[CrossRef] [PubMed]

Silberberg, Y.

Soto-Crespo, J. M.

N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A 47, 1358 (1993).
[CrossRef] [PubMed]

Appl. Opt. (1)

Opt. Lett. (2)

Phys. Rev. A (3)

N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A 47, 1358 (1993).
[CrossRef] [PubMed]

R. H. Enns, D. E. Edmundson, Phys. Rev. A 47, 4524 (1993).
[CrossRef] [PubMed]

R. H. Enns, S. S. Rangnekar, Phys. Rev. A 45, 3354 (1992).
[CrossRef] [PubMed]

Other (1)

These animations are viewable on DOS, Unix (X-Windows), and Macintosh systerns. Interested readers are encouraged to contact the authors at dedmunds@sfu.ca for information regarding ftp access.

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Figures (4)

Fig. 1
Fig. 1

High-state SLSS LB tunneling through a motionless low-state bullet for A, z = 18.2; B, z = 68.7; C, z = 97.0; and D, z = 170.0. Maximum intensity corresponds to |E| ≃ 9.8. Black indicates |E| ≤ 1% of the peak value.

Fig. 2
Fig. 2

Two high-state δ = 1.4 DSKC LB's undergoing spiraling motion and eventual fusion for A, z = 0; B, z = 14.8; C, z = 22.8; D, z = 25.3; E, z = 28.2; and F, z = 34.2. Maximum |E| = 9.3. Black indicates |E| ≤ 5% of the peak value.

Fig. 3
Fig. 3

3d volume-rendered image of Fig. 2E showing localized spiral-arm structure.

Fig. 4
Fig. 4

Repulsion of two high-state DSKC light bullets with a relative ϕdiff = 3π/4 phase difference for A, z = 0.35; B, z = 1.46; C, z = 2.22; and D, z = 3.48. Maximum |E| = 9.2. Black indicates |E| ≤ 9% of the peak value.

Equations (2)

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i E z + 1 2 ( E x x + E y y + E t t ) + f ( I = | E | 2 ) E = 0 ,
U rr + 2 r U r + 2 U [ f ( U 2 ) δ ] = 0 .

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