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Weakly guiding waveguides

  • Allan W. Snyder
  • John D. Love

Abstract

In Chapter 11 we discussed the fundamental properties of modes on optical waveguides. The vector fields of these modes are solutions of Maxwell’s source-free equations or, equivalently, the homogeneous vector wave equations. However, we found in Chapter 12 that there are few known refractive-index profiles for which Maxwell’s equations lead to exact solutions for the modal fields. Of these the step-profile is probably the only one of practical interest. Even for this relatively simple profile the derivation of the vector modal fields on a fiber is cumbersome. The objective of this chapter is to lay the foundations of an approximation method [1,2], which capitalizes on the small variation in refractive-index profile of fibers used for long-distance communications, i.e. Δ ≪ 1, where Δ is the profile height parameter of Eq. (11-48). The simplicity of this approximation method is that it relies on solutions of the scalar wave equation, rather than on vector solutions of the vector wave equation.

Keywords

Fundamental Mode Propagation Constant Modal Field Structural Anisotropy Transverse Electric Field 
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.

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References

  1. 1.
    Snyder, A. W. and Young, W. R. (1978) Modes of optical waveguides. J. Opt. Soc. Am., 68, 297–309.CrossRefGoogle Scholar
  2. 2.
    Snyder, A. W. (1969) Asymptotic expressions for eigenfunctions and eigenvalues of dielectric or optical waveguides. I.E.E.E. Trans. Microwave Theory Tech. 17, 1130–8.CrossRefGoogle Scholar
  3. 3.
    Gloge, D. (1971) Weakly guiding fibers. Appl. Opt., 10, 2252–8.CrossRefGoogle Scholar
  4. 4.
    Arnaud, J. A. (1976) Beam and Fiber Optics, Academic Press, New York.Google Scholar
  5. 5.
    Kaminow, I. P. (1981) Polarization in optical fibers. I.E.E.E. Trans. J. Quantum Electron., 17, 15–22.CrossRefGoogle Scholar
  6. 6.
    Snyder, A. W. (1974) Light absorption in visual photoreceptors. J. Opt. Soc. Am., 64, 216–30.CrossRefGoogle Scholar
  7. 7.
    Snyder, A. W. (1979), in Handbook of Sensory Physiology, Vol. VII/6A (ed. H. Autrum), Springer-Verlag, Berlin, pp. 279–81.Google Scholar
  8. 8.
    A. W. Snyder and F. Rühl (1983) Novel polarization phenomena on anisotropic multimoded fibres. Electron. Lett., 19, 401–2.CrossRefGoogle Scholar
  9. 9.
    A. W. Snyder and F. Rühl (1983) New single-mode single-polarization optical fiber. Electron. Lett., 19, 185–6.CrossRefGoogle Scholar
  10. 10.
    A. W. Snyder and F. Rühl (1983) Single-mode, single-polarization fibers made of birefringement material. J. Opt. Soc. Am., 73, 1165–74.CrossRefGoogle Scholar
  11. 11.
    M. P. Varnham, D. N. Payne, R. D. Birch and E. J. Tarbox (1983) Single polarisation operation of highly birefringent bow-tie optical fibers. Electron. Lett., 19, 246–7.CrossRefGoogle 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

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