Skip to main content
SpringerLink
Log in

Perturbation theory of low-V optical fibres with dip in the refractive index

  • Papers
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

A simple perturbation theory has been used to study the characteristics of low-V, step-index optical fibres with a dip in the centre of the refractive index profile. Analytical expressions have been derived for the cut-off frequency and propagation constant of an arbitrary mode on such a fibre. In particular, it has been shown that even when the dip is quite large, the perturbation theory results for the propagation constant of the fundamental mode and cut-off frequency of the second mode are virtually indistinguishable from exact numerical results calculated by series expansion techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

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. R. A. Sammut andA. K. Ghatak,Opt. Quant. Elect. 10 (1978) 475–82.

    Google Scholar 

  2. W. A. Gambling, D. N. Payne andH. Matsumura,Electron. Lett. 13 (1977) 139–40.

    Google Scholar 

  3. W. A. Gambling andH. Matsumura,Opt. Quant. Elect. 10 (1978) 31–40.

    Google Scholar 

  4. W. A. Gambling, D. N. Payne andH. Matsumura,Electron. Lett. 13 (1977) 174–75.

    Google Scholar 

  5. W. A. Gambling, H. Matsumura andC. M. Ragdale,Opt. Quant. Elect. 10 (1978) 301–09.

    Google Scholar 

  6. A. W. Snyder,IEEE Trans. Microwave Theory Tech. MTT-17 (1969) 1130–38.

    Google Scholar 

  7. G. N. Watson, ‘Theory of Bessel Functions’ (Cambridge University Press, 1944).

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Advanced Studies, Australian National University, 2600, Canberra, ACT, Australia

    R. A. Sammut

Authors
  1. R. A. Sammut
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sammut, R.A. Perturbation theory of low-V optical fibres with dip in the refractive index. Opt Quant Electron 11, 147–151 (1979). https://doi.org/10.1007/BF00624393

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00624393

Keywords

Search

Navigation