Skip to main content
Log in

Engineering the Dispersion of Photonic Crystal Waveguides for Counter-Directional Signal and Pump Propagation

  • Published:
Journal of Optics Aims and scope Submit manuscript

Abstract

A waveguide formed by coupled defects in a photonic crystal is a versatile building block for multifunctional photonic devices because the spatial geometry determines the dispersion relationship. We design a waveguide in which there are two distinct and narrow bands: a 1550 nm waveguiding band co-existing with a counter-propagating 1480 nm waveguiding band. Such a characteristic is ideally suited for diode-pumped all-optical information processing devices and lasers at telecommunications wavelengths.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Yariv. Optical Electronics in Modern Communications (Oxford, New York), 5th ed.(1997).

    Google Scholar 

  2. T. Suhara and M. Fujimura, Waveguide Nonlinear-Optic Devices (Springer, Berlin) (2003).

    Book  Google Scholar 

  3. L. C. Kimerling, in Towards the First Silicon Lasers, edited by L. Pavesi (Kluwer Academic Publishers, Boston) 465–476 (2003).

  4. J. C. Knight. Nature 424, 847 (2003).

    Article  ADS  Google Scholar 

  5. K. Sakoda. Optical Properties of Photonic Crystals (Springer, New York) (2001).

    Book  Google Scholar 

  6. J. D. Joannopoulos, R. D. Meade, and J. N. Winn. Photonic Crystals (Princeton University Press, Princeton) (1995).

    MATH  Google Scholar 

  7. L. Brillouin. Wave Propgation in Periodic Structures (Dover, New York) (1946

    Google Scholar 

  8. O. J. Painter, J. Vuckovic, and A. Scherer, Journal of the Optical Society of America B 16(2), 275 (1999).

    Article  ADS  Google Scholar 

  9. M. Plihal and A. A. Marududin, Physical Review B 44(16), 8565 (1991).

    Article  ADS  Google Scholar 

  10. S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos. Optics Letters 25, 1297 (2000).

    Article  ADS  Google Scholar 

  11. A. Yariv, Y. Xu, and S. Mookherjea, Optics Letters 28, 176 (2002).

    Article  ADS  Google Scholar 

  12. P.R. Villeneuve, S. Fan, and J. D. Joarnnopoulos, Physical Review B 54(11), 7837 (1996).

    Article  ADS  Google Scholar 

  13. J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, Nature 390,143 (1997).

    Article  ADS  Google Scholar 

  14. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer. Optics Letters 24(11), 711 (1999).

    Article  ADS  Google Scholar 

  15. M. Bayer, I. Gutbrod, J. P. Reithmaier, A. Forchel, T. L. Reinecke, P. A. Knipp, A. A. Dremion, and V. D. Kulakovskii, Physical Review Letters 81(12), 2582 (1998).

    Article  ADS  Google Scholar 

  16. M. Bayer, I. Gutbrod, A. Forchel, T. Reinecke, P. Knipp, R. Werner, and J. Reithmaier, Physical Review Letters 83, 5374 (1999).

    Article  ADS  Google Scholar 

  17. S. Mookherjea and A. Yariv. IEEE Journal of Selected Topics in Quantum Electronics 8(3), 448 (2002).

    Article  Google Scholar 

  18. N. W. Ashcroft and N. D. Mermin, Solid Stale Physics (Harcourt, Fort Worth) (1976).

    Google Scholar 

  19. Y. Xu, R. K. Lee, and A. Yariv, Journal of the Optical Society of America B 17(3), 387 (2000).

    Article  ADS  Google Scholar 

  20. S. Mookherjea and A. Yariv, Optics Express 9(2). 91 (2001).

    Article  ADS  Google Scholar 

  21. A. Melloni, F. Morichetti, and M. Martinelli. Optics and Photonics News 14, 44 (2003).

    Article  ADS  Google Scholar 

  22. S. Mookherjea, D. S. Cohen, and A. Yariv. Optics Letters 27, 933 (2002).

    Article  ADS  Google Scholar 

  23. S. Olivier, C. Smith, M. Rattier, H. Benisly, C. Weisbuch, T. Krauss, R. Houdré, and U. Oesterlé, Optics Letters 26(13), 1019(2001).

    Article  ADS  Google Scholar 

  24. P. E. Barclay, K. Srinivasan, M. Borselli, and O. J. Painter, Optics Letters 29, 697 (2004).

    Article  ADS  Google Scholar 

  25. S. Mookherjea, Applied Physics Letters 84,3265 (2004).

    Article  ADS  Google Scholar 

  26. L. Florescu, K. Busch, and S. John, J. Opt. Soc. Am. B 19,2215 (2002).

    Article  ADS  Google Scholar 

  27. S. Mookherjea, Optics Letters 30, 2406 (2005).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mookherjea, S. Engineering the Dispersion of Photonic Crystal Waveguides for Counter-Directional Signal and Pump Propagation. J Opt 34, 57–66 (2005). https://doi.org/10.1007/BF03354777

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03354777

Keywords

Navigation