The Figure shows TE polarised light incident on a dielectric interface. Light is incident from the upper left, in a sourced medium with refractive index nS at an angle of incidence θI , onto an unsourced medium with refractive index nU , and transmitted at angle of refraction θT . Both media are non-magnetic. The vectors HI , HR, HT are the magnetic fields for incident, reflected and transmitted waves respectively; the corresponding E fields point into the paper, as shown by the arrow-tail symbols.
State the boundary conditions on the E and H fields, then use these to prove that the
amplitude transmission coefficient tTE is given by
tT E ≡ ET/EI = 2nS cos θI / nS cos θI + nU cos θT
(Justify any assumption relating impedance to refractive index).
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