Polarizability analysis of cubical and square-shaped dielectric scatterers

The polarizability characteristics of nonspherical scatterers, especially c ubes and squares, are studied in this paper. A surface integral equation fo r the electrostatic potential has been numerically solved for a cube and a square-shaped object. Nonuniform gridding of the dielectric object has been used to get a good accuracy in the solution, The results obtained for the polarizability of cubes using the surface integral equation are compared wi th those obtained from the volume integral equation and show a good agreeme nt. We give simple approximation formulas for the polarizabilities as funct ions of the permittivity of the inclusions, The results give an improvement compared to earlier literature and also present a may to predict the effec tive properties of mixtures where cube-shaped inclusions are embedded in di electric environment, which type of mixtures strongly generalize the effect ive-medium theories of the present literature.