A semi-infinite space is filled with black spheres of uniform radius a = 100 µm. The particle number density is maximum adjacent to the surface, and decays exponentially away from the surface
according to
NT = N0e
−Cz; N0 = 108 m−3
, C = π m−1
.
(a) Determine the absorption and extinction coefficients as functions of z.
(b) Determine the optical coordinate as a function of z. What is the total optical thickness of the
semi-infinite space?