Absorption in multiple-scattering systems of coated spheres

We derive formulas for rigorous transfer matrix calculations of absorption in multiple-coherent-scattering systems in which the scatterers are multiply coated spheres (not necessarily concentric). Any of the spherical coatings, cores, or host media may be composed of absorbing materials. For a nonabsorbing host media, the total absorption may be deduced from overall energy conservation. A more detailed description of the absorption is obtained through formulas yielding the absorption within individual scatterers and/or coatings. We present some illustrative applications of these formulas to the design of heterogeneous coated-sphere media exhibiting enhanced absorption.