Show that the complex refractive index of a conducting medium can be expressed as n = λ0(1+i)/2 πδ and n = λ0(1-i)/2πδ where δ is the skin depth. Hence find the power reflection coefficient for an EM wave incident from free space on a good non-magnetic conductor at normal incidence. Show that the energy lost per unit area in the conductor is
H0^2/2σδ, where H0 is the amplitude of the magnetic field in the metal just beneath the surface and σ is the conductivity.
This response provides guidelines on showing the energy lost per unit area in a conducting medium.