A conductor with conductivity σ1 is perfectly polished so that the only source of loss on...

A conductor with conductivity σ₁ is perfectly polished so that the only source of loss on reflection comes from the conductivity of the material.

a. For a perfect conductor, prove that the angle of incidence is equal to the angle of reflection of light at a flat conducting surface.

b. Sketch the skin depth as a function of conductivity.

c. What is the intensity reflection coefficient, I_out/I_in for light at normal incidence as a function of conductivity? Sketch the curve and discuss the limiting cases of high and low conductivity.

d. Similar reflection at normal incidence occurs from a dielectric surface. Find a formula for what the index of refraction would need to be to give the same intensity reflection coefficient for a conductor having σ = 10⁷ / Ωm and ω =10¹⁵ rad/sec.

Expert Solution

genius_generous answered 2 years ago

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