Composite media prepared by coevaporation of two constituents are mode
lled, in this work, as three-phase composites to take account of the p
resence of void spaces, which are inevitably formed during growth. Pre
vious work on the effective dielectric constant of regular arrays of c
oated cylinders revealed the unexpected phenomenon of the extension of
core properties to and beyond the coating (or shell), at certain 'res
onance wavelengths'. We extend this treatment first to the case of reg
ular arrays of coated spheres and then to the case of disordered arran
gements of cylinders and spheres. Our model uses the quasistatic appro
ximation and is applicable to composite media when the size of the inc
lusions is much smaller than the wavelength of the incident radiation.
The model is intended to predict if a three-phase composite exhibits
resonances and, if so, what are the wavelengths of the incident radiat
ion producing this effect. The results of the model are compared with
experimental measurements on Ag-MgF2 cermets by treating the cermets a
s three-phase composites containing voids. The resonance wavelengths a
re identified with features in the transmission, reflectance and absor
ption spectra of the cermets.