Stratification Methods in Waveguiding Structures

  • G. Coppa
  • P. Di Vita
  • M. Potenza
  • U. Rossi
Chapter
Part of the NATO Science Series book series (NSSE, volume 86)

Abstract

Stratification methods to solve waveguiding problems in planar and circular structures are presented. They are based on the approximation of the actual index profile of the guide by means of a wide class of analytically solvable curves (quartic profiles for circular fibres; quartic, Epstein and linear profiles for planar guides). The method allows to deduce accurately the propagation characteristics in the least computing time, particularly for guides with non-monotonic ndex profiles.

Keywords

Index Profile Circular Structure Linear Profile Scalar Wave Equation Confluent Hypergeometric Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Morse, P.M. and H. Feshbach. Methods of theoretical physics ( New York, McGraw-Hill, 1953 ).MATHGoogle Scholar
  2. 2.
    Clarricoats, P.J.B. and K.B. Chan. Electron,. Lett. 6, 22 (1970) 694–695.CrossRefGoogle Scholar
  3. 3.
    Brekhoskikh, L.M. Waves in layered media ( New York, Academic Press, 1960 ).Google Scholar
  4. 4.
    Arnaud, J.A. and W. Mammel. Electron. Lett. 12, 1 (1976) 6–8.ADSCrossRefGoogle Scholar
  5. 5.
    Bianciardi, E. and V. Rizzoli. Opt. Quantum Electron. 9, 2 (1977) 121–133.CrossRefGoogle Scholar
  6. 6.
    Arnold, J.M., G.A.E. Crone and P.J.B. Clarricoats. Electron. Lett. 13, 10 (1977) 273–274, and Errata on Electron. Lett. 13, 13 (1977) 390.ADSCrossRefGoogle Scholar
  7. Arnold, J.M., G.A.E. Crone and P.J.B. Clarricoats. Electron. Lett. 13, 10 (1977) 273–274, and Errata on Electron. Lett. 13, 13 (1977) 390.CrossRefGoogle Scholar
  8. 7.
    Arnold, J.M. Electron. Lett. 13, 22 (1977) 660–661.ADSCrossRefGoogle Scholar
  9. 8.
    Kawakami, S. and S. Nishida. IEEE J. Quantum Electron. QE-10, 12 (1974) 879–387.ADSCrossRefGoogle Scholar
  10. 9.
    Yeh, P., A. Yarivand E. Marom. J. Opt. Soc. Am. 68,9 (1978) 1196–1201.ADSCrossRefGoogle Scholar
  11. 10.
    Di Vita, P. and U. Rossi. CSELT Rapp. Teen. 6, 3 (1978) 213–215.Google Scholar
  12. 11.
    Di Vita, P. and U. Rossi. Opt. Acta 27, 8 (1980) 1117–1125.ADSCrossRefGoogle Scholar
  13. 12.
    Coppa, G. and P. Di Vita. Electron. Lett. 17, 23 (1981) 896–897.CrossRefGoogle Scholar
  14. 13.
    Yamada, R., T. Meiri and K. Okamoto. J. Opt. Soc. Am. 67, 1 (1977) 96–103.ADSCrossRefGoogle Scholar
  15. 14.
    Coppa, G. and P. Di Vita. Electron. Lett. 19, 11 (1983) 430–432.CrossRefGoogle Scholar
  16. 15.
    Suematsu, Y. and K. Furuya. IEEE Trans. Micr. Th. and Tech. MTT-20, 8 (1972) 524–531.ADSCrossRefGoogle Scholar
  17. 16.
    Vassel, M.O. Journ. Opt. Soc. Am. 64, 2 (1974) 166–173.ADSCrossRefGoogle Scholar
  18. 17.
    Yamanouchi, K., T. Kamiya and K. Shibayama. IEEE Trans. Micr. Th. and Tech. MTT-26, 4 (1978) 298–305.ADSCrossRefGoogle Scholar
  19. 18.
    Epstein, P.S. Proc. Nat. Acad. Sci. USA 16 (1930) 627–637.ADSMATHCrossRefGoogle Scholar
  20. 19.
    Adams, M.J. An Introduction to Optical Waveguides ( New York, Wiley, 1981 ).Google Scholar
  21. 20.
    Marcuse, D. Light Transmission Optics ( New York, Van Nostrand Reinhold, 1972 ).Google Scholar
  22. 21.
    CSELT Tech. Staff. Optical Fibre Communication ( New York, McGraw-Hill, 1981 ).Google Scholar
  23. 22.
    Buus, J. IEEE J. Quantum Electron. QE-18, 7 (1982) 1083–1089.ADSCrossRefGoogle Scholar
  24. 23.
    Payne, F.P. Opt. Quantum Electron. 14, 6 (1982) 525–537.Google Scholar
  25. 24.
    Paoli, T.L. IEEE J. Quantum Electron. QE-13, 8 (1977)662–668.ADSCrossRefGoogle Scholar
  26. 25.
    Streifer, W. and E. Kapon. Appl. Opt. 18, 22 (1979) 3724–3725.ADSGoogle Scholar
  27. 26.
    Thompson, G.H.B. Physics of Semiconductor Laser Devices (Bath, Wiley, 1980 ).Google Scholar
  28. 27.
    Abramowitz, M. and I.A. Stegan, eds. Handbook of Mathematical Functions ( New York, Dover, 1970 ).Google Scholar
  29. 28.
    Nelson, D.F. and J. Mc Kenna. J. Appl. Phys. 38, 10 (1967) 4057–4074,ADSCrossRefGoogle Scholar
  30. 29.
    Kogelnik, H. Theory of Dielectric Waveguides, in T. Tamir, ed., Integrated Optics ( Berlin, Springer-Verlag, 1975 ) pp. 31–81.Google Scholar
  31. 30.
    Landau, L.D. and E.M. Lifchitz. Mecanique quantique (Moscou, Mir, 1974 ).Google Scholar
  32. 31.
    Cohen-Tannoudji, C., B. Diu and F. Laloe. Mecanique quantique ( Paris, Hermann, 1973 ).Google Scholar

Copyright information

© Martinus Nijhoff Publishers, Dordrecht 1984

Authors and Affiliations

  • G. Coppa
    • 1
  • P. Di Vita
    • 1
  • M. Potenza
    • 1
  • U. Rossi
    • 1
  1. 1.CSELT, Centro Studi e Laboratori Telecomunicazioni S.p.A.TorinoItaly

Personalised recommendations