Planar Dielectric Waveguides

Because of the simplicity of the planar geometry and the tractability of the analytic solutions associated with this geometry, the very first canonical solution for a given physical problem is usually obtained analytically for a planar structure. This also implies that solutions for the planar structure, which can yield great insight into the problems, are of fundamental importance [1, 2].

Here, we not only shall present the analysis of a canonical slab (planar) dielectric waveguide leading to the detailed theoretical solutions, but also provide detailed analyses on other planar structures – a leaky slab dielectric waveguide [3], a multilayered (or inhomogeneous) dielectric waveguide [4], and coupled planar dielectric waveguides [5]. We shall also discuss the very first, historically speaking, surface wave guiding structure – the Sommerfeld–Zenneck surface impedance guiding structure [6].


Dielectric Waveguide Coupling Length Slab Waveguide Leaky Mode Dielectric Slab 


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  1. 1.
    R. E. Collin, “Field Theory of Guided Waves,” McGraw-Hill, New York (1960)Google Scholar
  2. 2.
    A. W. Snyder and J. D. Love, “Optical Waveguide Theory,” Chapman and Hall, London (1983)Google Scholar
  3. 3.
    D. B. Hall and C. Yeh, “Leaky waves in a heteroepitaxial film,” J. Appl. Phys. 44, 2271 (1973)CrossRefGoogle Scholar
  4. 4.
    C. Yeh and G. Lindgren, “Computing the propagation characteristics of radially stratified fibers: An efficient method,” Appl. Opt. 16, 483 (1977); P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic media. I. General theory,” J. Opt. Soc. Am. 67, 423 (1977)Google Scholar
  5. 5.
    C. Yeh, F. Manshadi, K. F. Casey, and A. Johnston, “Accuracy of directional coupler theory in fibers or integrated optics applications,” J. Opt. Soc. Am. 68, 1079 (1978)CrossRefGoogle Scholar
  6. 6.
    J. A. Stratton, “Electromagnetic Theory,” McGraw-Hill, New York (1941)MATHGoogle Scholar
  7. 7.
    R. B. Dyott, “Elliptical Fiber Waveguides,” Artech House, Boston (1995)Google Scholar
  8. 8.
    D. B. Hall, “Frequency selective coupling between planar waveguides,” NELC Technical Note TN-2583, Naval Electronics Lab Center, San Diego, CA (1974)Google Scholar
  9. 9.
    D. Marcuse, “Light Transmission Optics,” Van Nostrand-Reinhold, New York (1972)Google Scholar

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© Springer Science+Business Media, LLC 2008

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