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Transverse electric and magnetic field relations.

[Click here for a PDF version of this post] I found a sign error in my book. Here’s I’ll re-derive all the results for myself here in a standalone fashion, also verifying signs as I go. Setup Suppose that a field is propagating in a medium along the z-axis. We may represent that field as the real part of \begin{equation}\label{eqn:transverseField:20} F = F(x,y) e^{j(\omega t – k…