Abstract

We study all-optical switching based on the dynamic properties of discrete vector solitons in waveguide arrays. We employ the concept of polarization mode instability and demonstrate simultaneous switching and amplification of a weak signal by a strong pump of the opposite polarization.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, Calif., 2003).
  2. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
    [CrossRef] [PubMed]
  3. D. K. Campbell, S. Flach, and Yu. S. Kivshar, Phys. Today 57(1), 43 (2004).
    [CrossRef]
  4. W. Królikowski and Yu. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996).
    [CrossRef]
  5. T. Pertsch, U. Peschel, and F. Lederer, Opt. Lett. 28, 102 (2003).
    [CrossRef] [PubMed]
  6. R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, Opt. Lett. 28, 1942 (2003).
    [CrossRef] [PubMed]
  7. X. D. Cao and D. D. Meyerhofer, Opt. Lett. 19, 1711 (1994).
    [CrossRef] [PubMed]
  8. A. Schauer, I. V. Melnikov, and J. S. Aitchison, J. Opt. Soc. Am. B 21, 57 (2004).
    [CrossRef]
  9. R. Malendevich, L. Friedrich, G. Stegeman, J. Soto-Crespo, N. Akhmediev, and J. S. Aitchison, J. Opt. Soc. Am. B 19, 695 (2002), and reference therein.
    [CrossRef]
  10. S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
    [CrossRef]
  11. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
    [CrossRef]

2004 (2)

D. K. Campbell, S. Flach, and Yu. S. Kivshar, Phys. Today 57(1), 43 (2004).
[CrossRef]

A. Schauer, I. V. Melnikov, and J. S. Aitchison, J. Opt. Soc. Am. B 21, 57 (2004).
[CrossRef]

2003 (4)

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

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

T. Pertsch, U. Peschel, and F. Lederer, Opt. Lett. 28, 102 (2003).
[CrossRef] [PubMed]

R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, Opt. Lett. 28, 1942 (2003).
[CrossRef] [PubMed]

2002 (1)

1998 (1)

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

1996 (1)

1994 (1)

Agrawal, G. P.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, Calif., 2003).

Aitchison, J. S.

Akhmediev, N.

Campbell, D. K.

D. K. Campbell, S. Flach, and Yu. S. Kivshar, Phys. Today 57(1), 43 (2004).
[CrossRef]

Cao, X. D.

Christodoulides, D.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Christodoulides, D. N.

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

Darmanyan, S.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Flach, S.

D. K. Campbell, S. Flach, and Yu. S. Kivshar, Phys. Today 57(1), 43 (2004).
[CrossRef]

Friedrich, L.

Hudock, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Kivshar, Y. S.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, Calif., 2003).

Kivshar, Yu. S.

Kobyakov, A.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Królikowski, W.

Lederer, F.

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

T. Pertsch, U. Peschel, and F. Lederer, Opt. Lett. 28, 102 (2003).
[CrossRef] [PubMed]

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Malendevich, R.

Meier, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Melnikov, I. V.

Meyerhofer, D. D.

Molina, M. I.

Morandotti, R.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Pertsch, T.

Peschel, U.

Schauer, A.

Schmidt, E.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Silberberg, Y.

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

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Soto-Crespo, J.

Stegeman, G.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

R. Malendevich, L. Friedrich, G. Stegeman, J. Soto-Crespo, N. Akhmediev, and J. S. Aitchison, J. Opt. Soc. Am. B 19, 695 (2002), and reference therein.
[CrossRef]

Vicencio, R. A.

J. Opt. Soc. Am. B (3)

Nature (1)

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

Opt. Lett. (3)

Phys. Rev. E (1)

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef]

Phys. Today (1)

D. K. Campbell, S. Flach, and Yu. S. Kivshar, Phys. Today 57(1), 43 (2004).
[CrossRef]

Other (1)

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, Calif., 2003).

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

TE gain versus initial kick kb and normalized power Pb0 of the TM mode ka=0,Pa0=0.03.

Fig. 2
Fig. 2

Switching by 13 sites kb=-1,Pb0=3.39. The gain is 70% (point A in Fig. 1).

Fig. 3
Fig. 3

Switching by four sites kb=-0.8,Pb0=3.63. The gain is 800% (point B in Fig. 1).

Fig. 4
Fig. 4

Trapping without switching kb=0,Pb0=3.97. The gain is 6000% (point C in Fig. 1).

Equations (4)

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

-idandz=Vn+an+an2an+Abn2an+Bbn2an*,  -idbndz=Vn-bn+bn2bn+Aan2bn+Ban2bn*,
P=Pa+Pb=nan2+bn2,
Hna,b=±an2+Van*an+1+anan+1*+12an4,  Hnab=an2bn2+B2bn2an*2+an2bn*2
an0=a0 secha0n-nca/2×exp-ikan-ncaexpiϕa,  bn0=b0 sechb0n-ncb/2×exp-ikbn-ncbexpiϕb

Metrics