Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 22

A uniform plane wave in air with E i (z) = a x 10e -J6z (V/m) is incident normally on an interface at z = 0 with a lossy medium having a dielectric constant 2.5 and a loss tangent 0.5. Find the following:
a) The instantaneous expressions for E r (z, t), H r (z, f), E t (z, t), and H r (z, t), using a cosine reference.
b) The expressions for time-average Poynting vectors in air and in the lossy medium.