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At the boundary of two perfect dielectric materials, ϵ1 and ϵ2, D1 is incident at an angle θ1, with respect to normal to the boundary surface.

It can be proved that

D2=D1cos2θ1+(ϵ2ϵ1)2sin2θ1

E2=E1sin2θ1+(ϵ1ϵ2)2cos2θ1

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