Skip to main content
Log in

Phase conjugation of gap solitons: A numerical study

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We study the effect of a nearby phase-conjugate mirror (PCM) on the gap soliton of a Kerr non-linear periodic structure. We show that phase conjugation of the gap soliton (in the sense of replication of the amplitude profile in the reverse direction) is possible under the condition of PCM reflectivity approaching unity. This is in contrast with the results for linear structures, where the wave profiles can be conjugated for arbitrary values of the PCM reflectivity. The sensitivity of the conjugation of the gap solitons to PCM reflectivity is ascribed to the fine balance of non-linearity with dispersion, necessary for their existence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H G Winful and G I Stegeman,Proc. SPIE 517, 214 (1984)

    Google Scholar 

  2. S Dutta Gupta, inProgress in optics edited by E Wolf (North-Holland, Amsterdam, 1998) vol. 38; see also references herein

    Google Scholar 

  3. W Chen and D L Mills,Phys. Rev. Lett. 58, 160 (1987)

    Article  ADS  Google Scholar 

  4. C M de Sterke and J E Sipe, inProgress in optics edited by E Wolf (North-Holland, Amsterdam, 1994) vol. 33

    Google Scholar 

  5. T G Brown and B J Eggleton,Opt. Exp. 3, 385 (1998)

    Article  ADS  Google Scholar 

  6. N D Sankhey, D F Prelewitz and T G Brown,Appl. Phys. Lett. 60, 1427 (1992)

    Article  ADS  Google Scholar 

  7. N D Sankhey, D F Prelewitz and T G Brown,J. Appl. Phys. 73, 1 (1993)

    Article  Google Scholar 

  8. J He and M Cada,J. Quantum. Electron. 27, 1182 (1991)

    Article  ADS  Google Scholar 

  9. B J Eggleton, R E Slusher, C M de Sterke, P A Krug and J E Sipe,Phys. Rev. Lett. 76, 627 (1996)

    Article  Google Scholar 

  10. N G R Broderick, D J Richardson and M Isben,Opt. Lett. 25, 536 (2000)

    Article  ADS  Google Scholar 

  11. P Millar, R M De La Rue, T F Krauss, J S Aitchison, N G R Broderick and D J Richardson,Opt. Lett. 24, 685 (1999)

    ADS  Google Scholar 

  12. D Taverner, N G R Broderick, D J Richardson, M Isben and R I Laming,Opt. Lett. 23, 259 (1998)

    ADS  Google Scholar 

  13. H G Winful and V Perlin,Phys. Rev. Lett. 84, 3586 (2000)

    Article  ADS  Google Scholar 

  14. S Dutta Gupta and J Jose,Opt. Commun. 125, 105 (1996)

    Article  ADS  Google Scholar 

  15. J Jose and S Dutta Gupta,Opt. Commun. 145, 220 (1998)

    Article  ADS  Google Scholar 

  16. T A Laine: Electromagnetic wave propagation in non-linear Kerr media, Doctoral Thesis (Royal Institute of Technology, Stockholm, 2000)

    Google Scholar 

  17. T A Laine and A T Friberg,Opt. Commun. 159, 93 (1998)

    Article  ADS  Google Scholar 

  18. T A Laine and A T Friberg,Appl. Phys. Lett. 74, 3248 (1999)

    Article  ADS  Google Scholar 

  19. G S Agarwal,Opt. Commun. 47, 77 (1983)

    Article  ADS  Google Scholar 

  20. M Born and E Wolf, inPrinciples of optics (Pergamon, New York, 1980) ch. 1

    Google Scholar 

  21. For results pertaining to the linear counterpart, see P Yeh,J. Opt. Soc. Am. A2, 568 (1985)

    Article  ADS  Google Scholar 

  22. S Dutta Gupta,J. Opt. Soc. Am. B6, 1927 (1989)

    ADS  Google Scholar 

  23. A E Kaplan and C T Law,IEEE J. Quantum. Electron. QE-21, 1529 (1985)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Dutta Gupta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rao, V.S.C.M., Dutta Gupta, S. Phase conjugation of gap solitons: A numerical study. Pramana - J Phys 61, 563–575 (2003). https://doi.org/10.1007/BF02705479

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02705479

Keywords

PACS Nos

Navigation