TABLE OF CONTENTS Our considerations in the preceding chapter were restricted to media with conductivity ? = 0. We now proceed to corresponding considerations for metals. [*]
[*]Although now old, the most important monograph on this subject was for a long time that of A. H. Wilson, The Theory of Metals, 2nd ed. (Cambridge University Press, 1953).
In the case now under consideration we have
With
we have
i.e. in the case of conducting media we have the generalised dielectric constant
Thus, although now j ? 0, ? j d F ? 0, we can again proceed as before except that ? has to be replaced by ?, because we saw earlier, that for finite conductivity ? the "linear current density" K = 0. Hence we have the case with no surface currents.
We consider now reflection in the case of vertical incidence of the electromagnetic wave, as indicated in Fig. 12.1.
In this case we have incident angle ? = 0 and (from sin ? = ( ? ? ? ?/ ? ?) 1/2 sin ?)
Hence the reflected intensity is in both cases (1) and (2) considered in Sec. 11.5.2:
where with ? ? + ? ?
For typical metals N >> 1, so that we can approximate R
