Abstract
A critical examination of standard treatments dealing with granular systems reveals the need for a new, self-consistent treatment taking retarded fields into account. The electromagnetic problem involving dielectric spherical grains imbedded in a host medium under the influence of a plane monochromatic wave is given a general and exact solution. Formulas defining the induced dipoles are carried out explicitly: the right forms of the polarizability and of the local field are easily singled out. The effective permittivity of periodic structures is also presented and its values plotted for a number of models of granular films. These calculations show that retardation is responsible for lowering the resonance peaks and shifting them toward lower frequencies as the dipole–dipole distance increases.
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