User:Souperfluid/sandbox

Theoretical Treatment of Waveguides
Find some way to show derivations.

$$ \mathbf{E} = \mathbf{E}_{0}(x,y)e^{ikz - i\omega t} \;\;\;\; \mathbf{B} = \mathbf{B}_{0}(x,y)e^{iks - i\omega t} $$

$$ (\mathbf{\nabla}_T^2 - k^2 + k_0^2)\mathbf{E}_0 = 0 $$