Two lossy dielectric media with permittivities and conductivities (ε1, σ1) and (ε2, σ2) ar...

Two lossy dielectric media with permittivities and conductivities (ε1, σ1) and (ε2, σ2) are in contact. An electric field with a magnitude E1 is incident from medium 1 upon the interface at an angle α1 measured from the common normal, as in Fig.

a) Find the magnitude and direction of E2 in medium 2.

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b) Find the surface charge density at the interface.

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c) Compare the results in parts (a) and (b) with the case in which both media are perfect dielectrics.

Figure: Boundary between two lossy dielectric media