simonp0420
Typo in the theory document
As an electrical and computational engineer but a newbie to antennas, I was going through the theory document and found what looks like an error on pages 4-5 in section 1.3 relating to equations 1.26 and 1.27 (emphasis mine):
Substituting (1.20) into (1.17a) we find that $j\omega F-H$ is curl-free, and so can be written as the gradient of the so-called magnetic scalar potential $\Psi[A]$ : [...] (eq1.21) ... ... ... An equation for $\Psi$ is now obtained by employing the identity $\nabla\cdot\mu H=H\nabla\mu+\mu\nabla\cdot H$ in (1.19b) and then eliminating $H$ using (1.21): [...] (eq1.26) After invoking the Lorentz gauge this can be written as [...] (eq1.27) Equation (1.27) is the wave equation for the electric scalar potential under the Lorentz gauge in an inhomogeneous medium.
$\Psi$ seems to be the magnetic scalar potential here, not electric.
Thanks for catching this. Of course you're correct -- it's a typo. If you're continuing to work through the notes, I'll wait to issue a correction to allow you time to identify any other mistakes.
