Q1: Let a plane EM wave with frequency o travelling in free space be incident on the surface of a dielectric with refractive index n and permeability lo, at an angle of incidence Oj. Let the electric field of the wave be normal to the plane of incidence, i.e. parallel to the surface of the dielectric. (i) In terms of the parameter a = cos Qr cos 0i and ß = n, calculate the reflection coefficient R and the transmission coefficient T. (ii) Plot these quantities as functions of Qi . Is there a “Brewster's angle" in this case ?

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Q1: Let a plane EM wave with frequency o travelling in free space be
incident on the surface of a dielectric with refractive index n and
permeability µo, at an angle of incidence Qi.
Let the electric field of the wave be normal to the plane of incidence,
i.e. parallel to the surface of the dielectric.
(i) In terms of the parameter a = cos Or/ cos Qi and B= n, calculate
the reflection coefficient R and the transmission coefficient T.
(ii) Plot these quantities as functions of 0;. Is there a "Brewster's angle"
in this case ?
Transcribed Image Text:Q1: Let a plane EM wave with frequency o travelling in free space be incident on the surface of a dielectric with refractive index n and permeability µo, at an angle of incidence Qi. Let the electric field of the wave be normal to the plane of incidence, i.e. parallel to the surface of the dielectric. (i) In terms of the parameter a = cos Or/ cos Qi and B= n, calculate the reflection coefficient R and the transmission coefficient T. (ii) Plot these quantities as functions of 0;. Is there a "Brewster's angle" in this case ?
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