I've just finished my new post: TEM mode analysis with #FEniCS an #opensource finite element differential equation solver. https://comphysblog.wordpress.com/2018/09/06/tem-mode-analysis-with-fenics/
In this post I calculate the electric and magnetic fields on a coaxial cable, characteristic impedance of the line, the Poynting vector, the conductor and dielectric loss, an estimated loss coefficient, Q-factor and s-parameter for a given length of cable.
Coax has been a useful example for comparisons with analytical results but the methods are very general. TEM modes of systems with different geometries can also be analysed with the exact same techniques!
Very happy to hear any comments, corrections or suggestions.
@MagnonDiscontinuum wow thank you very much. I'm no expert at the moment; just learning as I post, but let me know if you need a hand or just how you're getting on with it! I can give you an email address if you'd like to discuss things in detail.