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I have derived a transfer matrix calculation for LED systems. It is known that reflection amplitudes have a 180-degree phase shift between TE and TM modes less than the Brewster angle. This makes sense when the light propagation is coming from outside of the medium, which is reflecting same intensity in TE and TM modes.

Then how can we treat this phase shift for the normal propagating rays with TE and TM mode? If we set the optical system parameters (refractive index and position of dipole source) to make constructive interference outside for TE mode, the TM mode will make destructive interference due to the reflection amplitude of the Fresnel equation.

I don't think we can distinguish the TE and TM mode rays propagating along with normal direction (90 deg). How can I get an equivalent result from this angle?

Thanks in advance!

Interferences of TE and TM mode light reflected once

r and t coefficient of air to glass

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