In this chapter, the general concepts introduced in Chapter 2 SectionVI are illustrated on two examples:
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  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.
A parallel plate waveguide in a rectilinear y–independent domain, and
Various axially invariant waveguides in a cylindrical coordinate domain.
KeywordsEigenvalue Problem Eigenfunction Expansion Completeness Relation Dimensional Domain Electromagnetic Wave Theory
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