a) Starting from Maxwell's equations for E,D,B and H, ∇×H=J+∂D/∂t---∇×E=-∂B/∂t----∇⋅B=0----∇⋅D=ρ Derive relations betwee

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a) Starting from Maxwell's equations
for E,D,B and H,
∇×H=J+∂D/∂t---∇×E=-∂B/∂t----∇⋅B=0----∇⋅D=ρ
Derive relations between these quantities at an interface of two
different dielectric materials.
b) Consider an interface of two dielectrics with ε1
and ε2. Given the
angle θ1 between the
field E1 and the normal to the interface, find the
angle θ2 in the other dielectric.
c) Consider an interface of two materials with magnetic
permeabilities μ1 and μ2. Given the
angle θ1 between the
field H1 and the normal to the interface, find the
angle θ2 in the other material.