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So we just went over waveguides in my class, in particular the TE and TEM modes (for a perfect conductor with two infinite planes for waveguides). I know that according to boundary conditions (assuming perfect conductor), the transverse electric field components must be zero at the boundary. This means that for a linearly polarized wave, the wave vector must be at an angle for TE mode. My question is: what exactly happens when a linearly polarized wave enters parallel to the waveguide with the electric field polarized parallel to the waveguide as well? Does the wave simply not enter the waveguide? Does the wave change direction? Thanks