Optical and Quantum Electronics

, Volume 35, Issue 4–5, pp 429–452 | Cite as

Bidirectional beam propagation method for second-harmonic generation in engineered multilayered waveguides

  • A. Locatelli
  • F.-M. Pigozzo
  • F. Baronio
  • D. Modotto
  • A.-D. Capobianco
  • C. De Angelis


By employing an iterative procedure based on a bidirectional beam propagation method with perfectly matched layers, we develop a numerical algorithm to model light propagation in engineered multilayered nonlinear waveguides. Examples are given for multilayered structures and segmented waveguides designed for second-harmonic generation.

beam propagation method bidirectional second-harmonic generation segmented waveguides 


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  1. Adachi, S. J. Appl. Phys. 58 R1, 1985.Google Scholar
  2. Agrawal, G. Nonlinear Fiber Optics: Principles and Applications, p. 44. Academic Press Inc., New York, 1989.Google Scholar
  3. Balakin, A.V., V.A. Bushuev, N.I. Koroteev, B.I. Mantsyzov, I.A. Ozheredov, A.P. Shkurinov, D. Boucher and P. Masselin. Opt. Lett. 24 793, 1999.Google Scholar
  4. Bienstman, P., E. Six, M. Roelens, M. Vanwollenghem and R. Baets. IEEE Photon. Technol. Lett. 14 164, 2002.Google Scholar
  5. Bloembergen, N. and P.S. Pershan. Phys. Rev. 128 606, 1962.Google Scholar
  6. Bloembergen, N. and A.J. Sievers. Appl. Phys. Lett. 17 483, 1970.Google Scholar
  7. Capobianco, A.D., D. Brillo, C. De Angelis and G. Nalesso. IEEE Photon. Technol. Lett. 10 543, 1998.Google Scholar
  8. Chou, H.F., C.F. Lin and S. Mou. J. Lightwave Technol. 17 1481, 1999.Google Scholar
  9. D'Aguanno, G., M. Centini, C. Sibilia, M. Bertolotti, M. Scalora, M.J. Bloemer and C.M. Bowden. Opt. Lett. 24 1663, 1999.Google Scholar
  10. De Angelis, C., F. Gringoli, M. Midrio, D. Modotto, J.S. Aitchison and G. Nalesso. J. Opt. Soc. Am. B. 18 348, 2001.Google Scholar
  11. El-Refaei, H., I. Betty and D. Yevick. IEEE Photon. Technol. Lett. 12 158, 2000a.Google Scholar
  12. El-Refaei, H., D. Yevick and I. Betty. IEEE Photon. Technol. Lett. 12 389, 2000b.Google Scholar
  13. Feit, M.D. and J.A. Fleck. Appl. Opt. 1 3990, 1978.Google Scholar
  14. Hadley, G.R. Opt. Lett. 16 624, 1991.Google Scholar
  15. Hadley, G.R. Opt. Lett. 17 1426, 1992.Google Scholar
  16. Hayashi, K., M. Koshiba, Y. Tsuji, S. Yoneta and R. Kaji. J. Lightwave Technol. 16 2040, 1998.Google Scholar
  17. Ho, P.L. and Y.Y. Lu. IEEE Photon. Technol. Lett. 13 1316, 2001.Google Scholar
  18. Ho, P.L. and Y.Y. Lu. IEEE Photon. Technol. Lett. 14 325, 2002.Google Scholar
  19. Kaczmarski, P. and P.E. Lagasse. Electron. Lett. 24 675, 1988.Google Scholar
  20. Krauss, T.F. and R.M. De La Rue. Prog. Quan. Electron. 23 51, 1999.Google Scholar
  21. Locatelli, A., F.M. Pigozzo, D. Modotto, A.D. Capobianco and C. De Angelis. IEEE J. Select. Topics Quant. Electron. 8 440, 2002.Google Scholar
  22. Ortega, D., J.M. Aldariz, J.M. Arnold and J.S. Aitchison. J. Lightwave Technol. 17 369, 1999.Google Scholar
  23. Ortega, D., R.M. De La Rue and J.S. Aitchison. J. Lightwave Technol. 16 284, 1998.Google Scholar
  24. Pelinovsky, D., J. Sears, L. Brzozowski and E.H. Sargent. J. Opt. Soc. Am. B. 19 43, 2002.Google Scholar
  25. Rao, H., R. Scarmozzino and R.M. Osgood, Jr. IEEE Photon. Technol. Lett. 11 830, 1999.Google Scholar
  26. Rao, H., M.J. Steel, R. Scarmozzino and R.M. Osgood, Jr. J. Lightwave Technol. 18 1155, 2000.Google Scholar
  27. Scalora, M., M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan and J.W. Haus. Phys. Rev. A 56 3166, 1997.Google Scholar
  28. Scarmozzino, R., A. Gopinath, R. Pregla and S. Helfert. IEEE J. Select. Topics Quant. Electron. 6 150, 2000.Google Scholar
  29. Somekh, S. and A. Yariv. Appl. Phys. Lett. 21 140, 1972.Google Scholar
  30. Tang, C.L. and P.P. Bey. IEEE J. Quant. Electron. QE-9 9, 1973.Google Scholar
  31. Van der Ziel, J.P., M. Ilegemes, P.W. Foy and R.M. Mikulyak. Appl. Phys. Lett. 29 775, 1976.Google Scholar
  32. Vassallo, C. and F. Collino. J. Lightwave Technol. 14 1570, 1996.Google Scholar
  33. Weissman, Z. and A. Hardy. J. Lightwave Technol. 11 1831, 1993.Google Scholar
  34. Weissman, Z. and I. Hendel. J. Lightwave Technol. 13 2053, 1995.Google Scholar
  35. Yeh, P., A. Yariv and S.S. Hong. J. Opt. Soc. Am. 67 423, 1977.Google Scholar

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • A. Locatelli
    • 1
  • F.-M. Pigozzo
    • 2
  • F. Baronio
    • 1
  • D. Modotto
    • 1
  • A.-D. Capobianco
    • 2
  • C. De Angelis
    • 1
  1. 1.Dipartimento di Elettronica per l'AutomazioneUniversità di Brescia, Istituto Nazionale per la Fisica della MateriaBresciaItaly
  2. 2.Dipartimento di Ingegneria Elettrica, Gestionale e MeccanicaUniversità di UdineUdineItaly

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