Advertisement

Optical and Quantum Electronics

, Volume 35, Issue 4–5, pp 365–379 | Cite as

Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures

  • Andrea MelloniEmail author
  • Francesco Morichetti
  • Mario Martinelli
Article

Abstract

The linear and nonlinear characteristics of optical slow-wave structures made of direct coupled Fabry–Pérot and Ring Resonators are discussed. The main properties of an infinitely long slow-wave structure are derived analytically with an approach based on the Bloch theory. The spectral behaviour is periodical and closed form expressions for the bandwidth, the group velocity, the dispersion and the linear and nonlinear induced phase shift are derived. For structures of finite length the results still hold providing that proper input/output matching sections are added. In slow-wave structures most of the propagation parameters are enhanced by a factor S called the slowing ratio. In particular nonlinearities result strongly enhanced by the resonant propagation, so that slow-wave structures are likely to become a key point for all-optical processing devices. A numerical simulator has been implemented and several numerical examples of propagation are discussed. It is also shown as soliton propagation is supported by slow-wave structures, demonstrating the flexibility and potentiality of these structures in the field of the all-optical processing.

Fabry–Pérot nonlinear optics periodic structures resonators slow-wave propagation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Absil, P.P., J.V. Hrynicwicz, B.E. Little, P.S. Cho, R.A. Wilson, L.G. Joneckis and P.-T. Ho. Opt. Lett. 25 554, 2000.Google Scholar
  2. Agrawal, G.P. Nonlinear Fiber Optics, Academic Press, New York, 1999.Google Scholar
  3. Brillouin, L. Wave Propagation and Group Velocity, Academic Press, New York, 1960.Google Scholar
  4. Christodoulides, D.N. and N.K. Efremidis. Opt. Lett. 27 568, 2002.Google Scholar
  5. Collin, R.E. Foundations for Microwave Enginnering, McGraw-Hill, Singapore, 1992.Google Scholar
  6. de Sterke, C.M. and J.E. Sipe. 'Gap solitons' Progress in Optics, ed. E. Wolf, Vol. 33, Elsevier, Amsterdam, 1994, 203.Google Scholar
  7. Hau, L.V., S.E. Harris, Z. Dutton and C.H. Behroozi, Nature (London) 397 594, 1999.Google Scholar
  8. Heebner, J.E. and R.W. Boyd. Opt. Lett. 24, 847, 1999.Google Scholar
  9. Heebner, J.E. and R.W. Boyd. JOSA B 4 722, 2002.Google Scholar
  10. Jiang S. and M. Dagenais. Appl. Phys. Lett. 62 2757, 1993.Google Scholar
  11. Lenz, G., B.J. Eggleton, C.K. Madsen and R.E. Slusher. IEEE J. of Quantum Electron. 37, 525, 2001.Google Scholar
  12. Madsen, C.K. and G. Lenz. IEEE Photon. Technol. Lett. 10, 994, 1998.Google Scholar
  13. Martijn de Sterke, C. and J.E. Sipe. Phys. Rev. A 42 550, 1990.Google Scholar
  14. Melloni, A., M. Chinello and M. Martinelli. IEEE Photon. Technol. Lett. 12 42, 2000.Google Scholar
  15. Melloni, A., F. Morichetti and M. Martinelli. In: Proceeding of the 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, Nottingham, UK, 2002, p. 33.Google Scholar
  16. Melloni, A. and M. Martinelli. J. Lightwave Technol. 20 296, 2002.Google Scholar
  17. Mookherjea, S., D.S. Cohen and A. Yariv. Opt. Lett. 27 933, 2002.Google Scholar
  18. Pierce, J.R. Travelling-Wave Tubes, D. van Nostrand Company, Inc., Princeton, NJ, 1950.Google Scholar
  19. Radic, S., N. George and G.P. Agrawal. J. Opt. Soc. Am. B 12 671, 1995.Google Scholar
  20. Shaw, N., W.J. Stewart, J. Heaton and D.R. Wight. Electron. Lett. 35 1557, 1999.Google Scholar
  21. Soljacic, M., S.G. Johnson, S. Fan, M. Ibanescu, E. Ippen and J.D. Joannopoulos. J. Opt. Soc. Am. B 19 2052, 2002.Google Scholar
  22. Taylor, H.F. J. Lightwave Technol. 17, 1875, 1999.Google Scholar
  23. Taylor, H.F. J. Lightwave Technol. 19 866, 2001.Google Scholar
  24. Troup, G. Masers: Microwave Amplification by Stimulated Emission of Radiation, Hethuen Co, London, 1950.Google Scholar
  25. Yeh, P., A. Yariv and C-S. Hong. J. Opt. Soc. Am. 67 423, 1977.Google Scholar

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Andrea Melloni
    • 1
    Email author
  • Francesco Morichetti
    • 2
  • Mario Martinelli
    • 2
  1. 1.Dipartimento di Elettronica e Informazione Politecnico di MilanoMilanoItaly
  2. 2.CoreComMilanoItaly

Personalised recommendations