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IEEE Journal of Lightwave Technology
Volume 18 Number 6, June 2000

Table of Contents for this issue

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Mode Classification in Cylindrical Dielectric Waveguides

Achint Kapoor and G. S. Singh

Page 849.

Abstract:

We discuss an analytical approach which leads to a global scheme for mode classification in two-and three-layers step-profile cylindrical dielectric waveguides, based on the requirements of analytical continuity HE --> TE and EH --> TM in the limit such that the system under consideration becomes a circular metallic wave-guide. Technically, HE and EH hybrid modes correspond to the two roots of the problem's quadratic characteristic equation. It turns out that the mode designation has the universality in the sense that the equation obtainable from the root involving positive (negative) sign always describes HE (EH) mode.

References

  1. R. E. Beam, H. M. Astratom, W. C. Jakes, H. M. Wachowski and W. L. Firestone, "Dielectric tube waveguides", Northwestern Univ., Evanston, IL, pt. 1, Rep. ATT 94929, 1949.
  2. P. J. B. Clarricoats, "Propagation along unbounded and bounded dielectric rods", Proc. Inst. Elec. Eng., vol. 108, pp.  170-176, Feb.  1961.
  3. E. Snitzer, "Cylindrical dielectric waveguide modes", J. Opt. Soc. Amer., vol. 51, pp.  491-498, May  1961.
  4. M. M. Z. Kharadly and J. E. Lewis, "Properties of dielectric tube waveguides", Proc. Inst. Elec. Eng., vol. 116, pp.  214-224, Feb.  1969 .
  5. N. S. Kapany and J. J. Burke, Optical Waveguides, New York: Academic, 1972.
  6. A. Safaai-Jazi and G. L. Yip, "Classification of hybrid modes in cylindrical dielectric optical waveguides", Radio Sci. (Special Issue on Fiber and Integrated Optics), vol. 12, pp.  603-609, July-Aug.  1977 .
  7. H. M. Kuhn, "The influence of the refractive index step due to the finite cladding of homogeneous fibers on the hybrid properties of modes", Arch Elek Übertrog, vol. 10, pp.  393-401, 1974.
  8. J. D. Jackson, Classical Electrodynamics, 2nd ed.   New York: Wiley, 1975.
  9. A. W. Snyder and J. D. Love, Optical Waveguide Theory, London: U.K.: Chapman and Hall, 1983.
  10. C. S. Lee, S.-W. Lee and S.-L. Chuang, "Normal modes of an overmoded circular waveguide coated with lossy material", IEEE Trans. Microwave Theory Tech., vol. 34, pp.  773-784, Nov.  1986.