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 0;. 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 07/ cos 0; and ß = n, calculate the reflection coefficient R and the transmission coefficient T.

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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 lo, at an angle of incidence 0;.
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 0r/ cos 0; and ß = 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 lo, at an angle of incidence 0;. 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 0r/ cos 0; and ß = 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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