T-matrix formulation of electromagnetic scattering from multilayered scatterers

Recently a $T$-matrix formulation of classical electromagnetic scattering has been given by Waterman for the case of one homogeneous scattere, and this formulation has subsequently been extended to the case of an arbitrary number of homogeneous scatterers by the present authors. In the present article we show that the $T$-matrix formulation is also well suited for the treatment of electromagnetic scattering from scatterers consisting of an arbitrary number of consecutively enclosing layers with constant electric and magnetic properties. We also show how the earlier results on the $T$-matrix formulation can be combined with these new results to apply to more general types of multilayered scatterers. Some numerical applications are presented.