A conductor with conductivity σ1 is perfectlypolished so that the only source of loss on reflection comes fromthe conductivity of the material.
a. For a perfect conductor, prove that the angle of incidence isequal to the angle of reflection of light at a flat conductingsurface.
b. Sketch the skin depth as a function of conductivity.
c. What is the intensity reflection coefficient,Iout/Iin for light at normal incidence as afunction of conductivity? Sketch the curve and discuss the limitingcases of high and low conductivity.
d. Similar reflection at normal incidence occurs from adielectric surface. Find a formula for what the index of refractionwould need to be to give the same intensity reflection coefficientfor a conductor having σ = 107 / Ωm and ω=1015 rad/sec.
