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

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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.