A plane wave of frequency w is incident normally from vacuum on a semi-infinite slab of material with a complex index of refraction n(w) [n²(w) = ?(w)/?₀].

(a) Show that the ratio of reflected power to incident power is

while the ratio of power transmitted into the medium to the incident power is

(b) Evaluate Re[iw(E ? D* ? ? ? H*)/2] as a function of (x, y, z). Show that this rate of change of energy per unit volume accounts for the relative transmitted power T.

(c) For a conductor, with n² = 1 + i(?/w?₀), ? rreal, write out the results of parts a and b in the limit ?₀w

Transcribed Image Text:

1 n(@) 1 + n(@) R =