Lecture -- TE Analysis of the Rectangular Metal Waveguide

This video builds on the analysis of a parallel plate waveguide (covered in a prior video) to step through the analysis of TE modes in a rectangular metal waveguide. For these modes, the z component of the electric field is zero. The video goes on to discuss and visualize the modes. The video ends with an example.
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[@douglasstrother6584]

"The Art and Science of UWB Antennas" by Hans G. Schrantz is a great read.
The author's focuses on energy flow (Poynting Vector) to understand antennas, in particular, but presents a novel viewpoint on any RF/microwave/optical device.

[@empossible1577]

I don't think I have heard of that one, but it sounds interesting. Some of my research involves antennas.

[@tominku]

A quick question, how does the wave propagate when the metal guide is bent 90 degree (or some angle) somewhere ?

[@empossible1577]

The analysis here assumes the waveguide is uniform along the z direction. It is much more complicated to analyze the case of a discontinuity. In general, any discontinuity will introduce reflections. There are techniques for designing bends and other things while also minimizing reflections.
The reason for the reflections is this. At a bend (or other discontinuity), the guided modes change their properties. Continuity of the field requires the tangential components to be continuous. If suddenly the modes change what they look like, there will have to be scattering and/or scrambling of power between the modes to satisfy the continuity of fields.
This is important to understand because it is the origin of some ways to mitigate the reflections. For example, think of a horn antenna. The taper smooths the transition between a guided mode and propagating wave.