Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 1

Two lossy dielectric media with permittivities and conductivities ( 1 , 1 ) and ( 2 , 2 ) are in contact. An electric field with a magnitude E 1 is incident from medium 1 upon the interface at an angle 1 measured from the common normal, as in Fig.
a) Find the magnitude and direction of E 2 in medium 2.
b) Find the surface charge density at the interface.
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