The prediction of the macroscopic complex permittivity of composites i
s based on the derivations of D.J. Bergman and G. Milton, by means of
third order correlation functions. This approach is applied to morphol
ogical models of textures simulating the geometry of two phase composi
tes: random mosaics built on a random tessellation, Boolean models, De
ad Leaves models, or combinations of these models into hierarchical ra
ndom textures; they allow us to look for optimal textures with respect
to the material behaviour.