Multiple scattering of waves. III. The electromagnetic case

Electromagnetic multiple scattering effects due to a random distribution of spheres are investigated. Vector equations are used throughout and full account is taken of “hole corrections” involved in the integral equation by transforming volume to surface integrals. The present treatment generalizes previously developed scalar formalism to vector problems. A secular equation is established for determining the propagation constant K of the composite medium and an iteration scheme is used to treat interface corrections. In the low frequency limit explicit results, which include the Lorentz-Lorenz formula as a special case, are obtained and the boundary conditions at the interface are examined in connection with the results for the total reflected and transmitted fields. Application of the iteration scheme verifies the validity of the procedure in this limit.