Weak-guidance approximation

  • Allan W. Snyder
  • John D. Love


In Chapter 13 we showed how to construct the fields of bound modes on weakly guiding waveguides using simple physical arguments, and then, in Chapter 25, we extended the method to include radiation modes. To complement the physical approach, we now give the formal mathematical derivation using perturbation theory on the vector wave equation.


Propagation Constant Modal Field Point Dipole Transverse Electric Field Scalar Wave Equation 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Snyder, A. W. (1969) Asymptotic expressions for eigenfunctions and eigenvalues of dielectric or optical waveguides. I.E.E.E. Trans. Microwaves Theory Tech. 17, 1130–8.CrossRefGoogle Scholar
  2. 2.
    Snyder, A. W. and Young, W. R. (1978) Modes of optical waveguides. J. Opt. Soc. Am., 68, 297–309.CrossRefGoogle Scholar
  3. 3.
    Tjaden, D. L. A. (1978) First-order correction to ‘weak-guidance’ approximation in fibre optics theory. Philips J. Res., 33, 103–12.Google Scholar
  4. 4.
    Sammut, R. A., Hussey, C. D., Love, J. D. and Snyder, A. W. (1981) Modal analysis of polarization effects in weakly-guiding fibres. I.E.E. Proc., 128, 173–87.Google Scholar
  5. 5.
    Snyder, A. W. and Love, J. D. (1982) Green’s function methods for analyzing optical fibre perturbations. J. Opt. Soc. Am. 72, 1131–35.MathSciNetCrossRefGoogle Scholar
  6. 6.
    Love, J. D., Hussey, C. D., Snyder, A. W. and Sammut, R. A. (1982) Polarization corrections to mode propagation on weakly guiding fibres. J. Opt. Soc. Am., 72, 1583–91.CrossRefGoogle Scholar
  7. 7.
    Snyder, A. W. (1980) Weakly guiding optical fibres. J. Opt. Soc. Am., 70, 405–11.CrossRefGoogle Scholar
  8. 8.
    Ramo, S., Whinnery, J. R. and Van Duzer, T. (1965) Fields and Waves in Communications Electronics, Wiley, New York.Google Scholar

Copyright information

© Allan W. Snyder and John D. Love 1983

Authors and Affiliations

  • Allan W. Snyder
    • 1
  • John D. Love
    • 1
  1. 1.Institute of Advanced StudiesAustralian National UniversityCanberraAustralia

Personalised recommendations