Two—Dimensional Problems

  • Leopold B. Felsen
  • Mauro Mongiardo
  • Peter Russer
Chapter

In this chapter, the general concepts introduced in Chapter 2 SectionVI are illustrated on two examples:
  • A parallel plate waveguide in a rectilinear y–independent domain, and

  • Various axially invariant waveguides in a cylindrical coordinate domain.

The first example is very instructive because with a modest analytical effort allows to introduce several concepts for open and closed waveguides [1–3] and can be extended to dielectric waveguides [4] or stratified media. Also relevant techniques of applied mathematics find, in this case, immediate application [5–7]. The axially invariant waveguides in cylindrical coordinates illustrate the alternatives available when considering wave propagation in this coordinate system. Also in this case, with a limited analytical development, it is feasible to illustrate the relevant phenomenology [8–10]. These examples provide a simple yet effective introduction to the concepts that will be expressed in the next chapter, concerning the spherical wave expansion and its network interpretation.

Keywords

Eigenvalue Problem Eigenfunction Expansion Completeness Relation Dimensional Domain Electromagnetic Wave Theory 
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

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    R. F. Harrington, Time Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.Google Scholar
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    R. E. Collin, Field Theory of Guided Waves. New York: IEEE Press, 1991.Google Scholar
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    T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides. London: IEE, 1997.Google Scholar
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    B. Friedman, Principles and Techniques of Applied Mathematics. New York: John Wiley & Sons, 1956.Google Scholar
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    B. Friedman, Lectures on Applications-Oriented Mathematics. New York: John Wiley & Sons, 1969.Google Scholar
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    D. G. Dudley, Mathematic Foundations for Electromagnetic Theory. New York: IEEE Press, 1994.Google Scholar
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    J. R. Wait, Electromagnetic Wave Theory. Singapore: John Wiley & Sons, 1987.Google Scholar
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    J. R. Wait, Waves Propagation Theory. New York: Pergamon Press, 1981.Google Scholar
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    J. R. Wait, Electromagnetic Waves in Stratified Media. New York: Pergamon Press, 1970.Google Scholar
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    L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves. Englewood Cliffs, NJ: Prentice Hall, 1973, Piscataway, NJ: IEEE Press (classic reissue), 1994.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Leopold B. Felsen
    • 1
  • Mauro Mongiardo
    • 2
  • Peter Russer
    • 3
  1. 1.Dept. Aerospace & Mechanical EngineeringBoston UniversityBostonUSA
  2. 2.Dipartimento di Ingegneria Elettronica e dell ’InformationeUniversità PerugiaItaly
  3. 3.Fak. Elektro- und Informationstechnik LS für HochfrequenztechnikTU Müenchen80333 MuenchenGermany

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