Abstract

We report on the phenomenon of controllable soliton dragging by dynamic optical lattices induced by three imbalanced interfering plane waves. Because of such an imbalance, the transverse momentum of the lattice does not vanish, and thus the dynamic lattice can cause soliton dragging. The dragging rate is shown to depend on the amplitude and on the angle of incidence of the third plane wave making the optical lattice.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
    [CrossRef] [PubMed]
  2. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
    [CrossRef] [PubMed]
  3. W. Krolikowski, U. Trutschel, M. Cronin-Golomb, and S. Schmidt-Hattenberger, Opt. Lett. 19, 320 (1994).
    [CrossRef]
  4. R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, Opt. Lett. 19, 323 (1994).
    [CrossRef] [PubMed]
  5. A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
    [CrossRef]
  6. W. Krolikowski and Y. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
    [CrossRef]
  7. O. Bang and P. D. Miller, Opt. Lett. 21, 1105 (1996).
    [CrossRef] [PubMed]
  8. D. N. Christodoulides and E. D. Eugenieva, Phys. Rev. Lett. 87, 233901 (2001).
    [CrossRef]
  9. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
    [CrossRef]
  10. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
    [CrossRef] [PubMed]
  11. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
    [CrossRef] [PubMed]
  12. Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 766 (2004).
    [CrossRef] [PubMed]
  13. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1102 (2004).
    [CrossRef] [PubMed]

2004 (2)

2003 (3)

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

2002 (1)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

2001 (1)

D. N. Christodoulides and E. D. Eugenieva, Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

1996 (3)

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

W. Krolikowski and Y. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
[CrossRef]

O. Bang and P. D. Miller, Opt. Lett. 21, 1105 (1996).
[CrossRef] [PubMed]

1994 (2)

1988 (1)

Aceves, A. B.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

Bang, O.

Christodoulides, D. N.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

D. N. Christodoulides and E. D. Eugenieva, Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
[CrossRef] [PubMed]

Cronin-Golomb, M.

De Angelis, C.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

Efremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Eugenieva, E. D.

D. N. Christodoulides and E. D. Eugenieva, Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Joseph, R. I.

Kartashov, Y. V.

Kivshar, Y.

Kivshar, Y. S.

Krolikowski, W.

Lederer, F.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, Opt. Lett. 19, 323 (1994).
[CrossRef] [PubMed]

Miller, P. D.

Muschall, R.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, Opt. Lett. 19, 323 (1994).
[CrossRef] [PubMed]

Neshev, D.

Ostrovskaya, E.

Peshel, T.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

Schmidt-Hattenberger, C.

Schmidt-Hattenberger, S.

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Segev, M.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Silberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Torner, L.

Trillo, S.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

Trutschel, U.

Vysloukh, V. A.

Wabnitz, S.

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

Zelenina, A. S.

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

Nature (2)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Opt. Lett. (7)

Phys. Rev. E (2)

A. B. Aceves, C. De Angelis, T. Peshel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

D. N. Christodoulides and E. D. Eugenieva, Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Refractive-index profiles of distorted lattices with (left) β = 4.192 and (right) β = 4.284 at b = 0.3 .

Fig. 2
Fig. 2

(a) Soliton profiles supported by an undistorted lattice at E = 12 , S = 0.2 . (b) Soliton energy flow versus propagation constant at E = 12 . (c) Trajectory of the integral center of a soliton with U = 1 in a distorted lattice at β = 4.1 , E = 12 , S = 0.2 .

Fig. 3
Fig. 3

(a) Soliton drift angle versus propagation angle of a lattice-distorting plane wave at U = 1 , b = 0.2 . (b) Soliton drift angle versus energy flow at β = 4.5 , b = 0.2 . (c) Soliton drift angle versus amplitude of lattice-distorting plane wave at U = 1 , β = 4.5 . Parameters:  E = 12 , S = 0.2 .

Equations (4)

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

i q ξ = 1 2 2 q η 2 E q 1 + S q 2 + R ( η , ξ ) [ S q 2 + R ( η , ξ ) ] .
i q ξ = 1 2 2 q η 2 q q 2 R ( η , ξ ) q .
d ϕ d ξ = χ 2 R ( η , ξ ) sech 2 ( χ η ) tanh ( χ η ) d η .
ϕ = 2 π a b χ { β α ( β + α ) sinh [ π ( β α ) 2 χ ] β + α ( β α ) sinh [ π ( β + α ) 2 χ ] } ( 1 cos β 2 α 2 2 ξ ) .

Metrics