Abstract

We suggest an effective method for controlling nonlinear switching in arrays of weakly coupled optical waveguides. We demonstrate digitized switching of a narrow input beam for as many as 11 waveguides in the engineered waveguide arrays.

© 2003 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. Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
    [CrossRef]
  3. W. Krolikowski and Yu. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
    [CrossRef]
  4. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
    [CrossRef]
  5. For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
    [CrossRef]
  6. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
    [CrossRef]
  7. Y. Silberberg G. I. Stegeman, in Spatial Solitons, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, Berlin, 2001), p. 37.
    [CrossRef]
  8. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
    [CrossRef]
  9. Yu. S. Kivshar and D. K. Campbell, Phys. Rev. A 48, 3077 (1993).
    [CrossRef]
  10. A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, Opt. Lett. 19, 332 (1994).
    [CrossRef] [PubMed]
  11. O. Bang and P. D. Miller, Opt. Lett. 21, 1105 (1996).
    [CrossRef] [PubMed]
  12. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
    [CrossRef]
  13. The use of a symmetric Vn around n = nc allows us to reach 11 guides on either side, thus making possible switching of as many as 22 guides.
  14. M. I. Molina, Mod. Phys. Lett. B 17, 111 (2003).
    [CrossRef]
  15. M. I. Molina, presented at the XIII Symposium of the Chilean Physics Society, Concepción, Chile, November 13–15, 2002.

2003 (2)

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

M. I. Molina, Mod. Phys. Lett. B 17, 111 (2003).
[CrossRef]

1999 (2)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

1998 (1)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

1996 (3)

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

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

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

1994 (1)

1993 (2)

Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
[CrossRef]

Yu. S. Kivshar and D. K. Campbell, Phys. Rev. A 48, 3077 (1993).
[CrossRef]

1988 (1)

Aceves, A. B.

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

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, Opt. Lett. 19, 332 (1994).
[CrossRef] [PubMed]

Aitchison, J. S.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Bang, O.

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Campbell, D. K.

Yu. S. Kivshar and D. K. Campbell, Phys. Rev. A 48, 3077 (1993).
[CrossRef]

Christodoulides, D. N.

De Angelis, C.

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

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, Opt. Lett. 19, 332 (1994).
[CrossRef] [PubMed]

Eisenberg, H. S.

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Joseph, R. I.

Kivshar, Yu. S.

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

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

Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
[CrossRef]

Yu. S. Kivshar and D. K. Campbell, Phys. Rev. A 48, 3077 (1993).
[CrossRef]

Krolikowski, W.

Lederer, F.

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

Miller, P. D.

Molina, M. I.

M. I. Molina, Mod. Phys. Lett. B 17, 111 (2003).
[CrossRef]

M. I. Molina, presented at the XIII Symposium of the Chilean Physics Society, Concepción, Chile, November 13–15, 2002.

Morandotti, R.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Muschall, R.

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

Peschel, T.

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

Peschel, U.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Silberberg, Y.

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Y. Silberberg G. I. Stegeman, in Spatial Solitons, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, Berlin, 2001), p. 37.
[CrossRef]

Stegeman, G. I.

Y. Silberberg G. I. Stegeman, in Spatial Solitons, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, Berlin, 2001), p. 37.
[CrossRef]

Sukhorukov, A. A.

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

Trillo, S.

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

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, Opt. Lett. 19, 332 (1994).
[CrossRef] [PubMed]

Wabnitz, S.

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

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, Opt. Lett. 19, 332 (1994).
[CrossRef] [PubMed]

IEEE J. Quantum Electron. (1)

For a recent overview, see A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003).
[CrossRef]

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

Mod. Phys. Lett. B (1)

M. I. Molina, Mod. Phys. Lett. B 17, 111 (2003).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (1)

Yu. S. Kivshar and D. K. Campbell, Phys. Rev. A 48, 3077 (1993).
[CrossRef]

Phys. Rev. E (1)

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

Phys. Rev. Lett. (3)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Other (3)

The use of a symmetric Vn around n = nc allows us to reach 11 guides on either side, thus making possible switching of as many as 22 guides.

M. I. Molina, presented at the XIII Symposium of the Chilean Physics Society, Concepción, Chile, November 13–15, 2002.

Y. Silberberg G. I. Stegeman, in Spatial Solitons, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, Berlin, 2001), p. 37.
[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 (4)

Fig. 1
Fig. 1

Example of optimized modulation of the propagation constant Vn in the waveguide array.

Fig. 2
Fig. 2

One-site switching of a discrete soliton in the waveguide array with the modulated coupling shown in Fig. 1.

Fig. 3
Fig. 3

Discrete switching by 11 sites in the waveguide array modulated according to Fig. 1.

Fig. 4
Fig. 4

Soliton switching in a waveguide array with an optimized coupling. Soliton output displacement is shown as a function of input beam amplitude A. A step size of 0.0005 separates consecutive points.

Equations (2)

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

idundz+Vn+1un+1+Vn-1un-1+γun2un=0,
un0=A sechAn-nc/2exp-ikn-nc,

Metrics