It is known that a generic harmonic electric field which propagages in free space has an elliptical polarization (if you want to read the proof, look at [this][1], slides 72 - 99). My question is: what about the polarization of E and H fields in a waveguide or a transmission line? I have always read about elliptical, circular and linear polarization for electromagnetic waves in free space, but I have never heard/found something referred to guided waves. So, I'll say that waves in waveguides are simply linearly polarized. But: - I do not know if this is true. I have never read also the sentence "Waves in waveguides have linear polarization". - I do not understand why we cannot have elliptical polarization in waveguides. As you may see from the slides is the consequence of the harmonic behaviour of E and H fields, which is described by the wave equations. In theory, it is true also for waveguides... [1]: https://www.google.com/url?sa=t&source=web&rct=j&url=http://indico.ictp.it/event/a09133/session/2/contribution/2/material/0/0.pdf&ved=2ahUKEwiRiMqIp-XoAhWi8qYKHXXfB9sQFjAAegQIBBAB&usg=AOvVaw1DWg6N0wTytUO2p7XgIy0Z