ABSTRACT
This chapter discusses an interesting two-dimensional application used in wave guide studies and shows how some peculiarities of wave propagation in a wave guide make possible its analysis through a two-dimensional formulation. Electromagnetic wave propagation inside a wave guide can occur in two different ways. The first one is where there is a longitudinal electric field, that is, in the z direction, which is the propagation direction. In this case, it is not possible for a magnetic field to be lined with the electric field. This type of wave propagation is called transverse magnetic wave. The chapter presents the mathematical methodology for obtaining the electric or magnetic field distribution on the cross section of the wave guide based on a two-dimensional finite element method. When both the electric and magnetic fields are a sinusoidal time-dependent high frequency signals, the phenomenon is called time-harmonic state and propagation occurs.
