Transverse-electric Fresnel reflection coefficient

When the permeabilities agree, the signed reflected-to-incident electric-field ratio for polarization normal to the plane of incidence is

r_{TE} = \frac{n _{-} c o s θ _{I} - n _{+} c o s θ _{T}}{n _{-} c o s θ _{I} + n _{+} c o s θ _{T}} .

For incidence from lower to higher refractive index it never vanishes.

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- Reflected-to-transmitted transverse-electric amplitude ratio Transverse-electric Fresnel reflection coefficient

Reflected-to-transmitted transverse-electric amplitude ratio

For equal permeabilities on the two sides of an interface, tangential-field continuity and Snell law for electromagnetic waves give

\frac{E _{R}}{E _{T}} = \frac{1}{2} (1 - \frac{t a n θ _{R}}{t a n θ _{T}})

for consistently signed electric amplitudes normal to the plane of incidence.

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