Optical and Quantum Electronics

, Volume 12, Issue 4, pp 281–290 | Cite as

Pulse propagation in optical fibres with index profiles slowly varying along their length



This paper describes the formalism for calculating the effect of profile variations along the fibre on transit times and path parameters for rays in multimode fibres. The ideal case of power-law profiles is considered in detail and it is shown that when the exponentq is given byq=q0+εf (z), the fibre may be described by an equivalent exponentqe. Simple formulae forqe in terms of the average properties off(z) are given. The ray parameter\(\tilde \beta \) varies and this is shown to have only a minor effect on transit time, but does imply that some rays suffer an attenuation whenε≠0. If the amount of dopant in any crosssection is assumed constant, the fibre radius must vary whenq varies and profiles with this attribute are examined and shown to have ray behaviour similar to that described above.


Attenuation Communication Network Optical Fibre Transit Time Pulse Propagation 
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  1. 1.
    D. Gloge andE. A. J. Marcatili,Bell Syst. Tech. J. 52 (1973) 1563–78.Google Scholar
  2. 2.
    R. Olshansky andD. B. Keck,Appl. Opt. 15 (1976) 483–91.Google Scholar
  3. 3.
    R. Olshansky,ibid 15 (1976) 782–8.Google Scholar
  4. 4.
    K. Behm,A.E.U. 31 (1977) 45–8.Google Scholar
  5. 5.
    D. Marcuse,Appl. Opt. 18 (1979) 2229–31.Google Scholar
  6. 6.
    A. Ankiewicz andC. Pask,Opt. Quant. Elect. 9 (1977) 87–109.Google Scholar
  7. 7.
    A. Ankiewicz,Opt. Acta 25 (1978) 361–73.Google Scholar
  8. 8.
    C. Pask,J. Opt. Soc. Amer. 69 (1979) 1599–1603.Google Scholar
  9. 9.
    A. H. Nayfeh, ‘Perturbation Methods’ (Wiley-Interscience, New York, 1973).Google Scholar
  10. 10.
    K. F. Barrell andC. Pask,Opt. Quant. Elect. 11 (1979) 237–51.Google Scholar
  11. 11.
    D. Marcuse.Appl. Opt. 18 (1979) 2073–80.Google Scholar
  12. 12.
    A. Ankiewicz andC. Pask,Opt. Quant. Elect. 10 (1978) 83–93.Google Scholar
  13. 13.
    W. A. Gambling, D. N. Payne, C. R. Hammond andS. R. Norman,Proc. IEE 123 (1976) 570–76.Google Scholar
  14. 14.
    K. F. Barrell andC. Pask,Appl. Opt. (1980) to be published.Google Scholar
  15. 15.
    A. W. Snyder andJ. D. Love,Elect. Lett. 12 (1976) 324–26.Google Scholar
  16. 16.
    R. Olshansky andD. A. Nolan,Appl. Opt. 15 (1976) 1045–47.Google Scholar
  17. 17.
    Idem, ibid 16 (1977) 1639–41.Google Scholar

Copyright information

© Chapman and Hall Ltd 1980

Authors and Affiliations

  • C. Pask
    • 1
  1. 1.Department of Applied Mathematics, Research School of Physical SciencesAustralian National UniversityCanberraAustralia

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