Characterization of the internal energy density in Mie scattering

Abstract
The distribution of the internal field energy in nonresonant Mie scattering is shown to exhibit certain regularities not previously noticed. The distribution, when suitably expressed, is independent of the size of the spherical scatterer and obtainable from geometric optics, with the average over any spherical surface calculable in closed form. A discontinuity at a radius r = a/n is found and described, where a is the radius of the sphere and n the refractive index.