3Two-Dimensional Problems and Waveguides
In the previous chapter, we examined one-dimensional solutions. We found the solutions to be plane or cylindrical TEM (transverse electric and magnetic) waves. The TEM waves are the simplest kind of electromagnetic waves.
The next level of simple waves is either transverse magnetic (TM) or transverse electric (TE). Such waves arise when the wave is confined (bounded) in the transverse plane with, say, conducting boundaries, and is traveling in a direction normal to the transverse plane.
3.1Two-Dimensional Solutions in Cartesian Coordinates
Let us investigate the solution of Maxwell’s equations under the following constraints: (1) the wave is traveling in the z-direction, (2) it has an electric field ...
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