On the inverse homogenization problem of linear composite materials

The standard problem of homogenization consists of a derivation or estimati on of the electromagnetic constitutive properties of a composite material I n that approach, the constitutive properties of the constituent materials l as specified bl their respective permittivity, permeability, and magnetoele ctric dyadics), their mixing ratios, and certain geometrical properties per taining to the constituents are known. Here, the inverse problem is pursued : What information about the electromagnetic constitutive parameters of one of the constituent materials in a two-component mixture can be extracted f rom a knowledge of the constitutive properties of the homogenized composite medium and those of the other component material? This approach is called the inverse homogenization problem, and it is studied within the framework of linear homogenization through the Maxwell Garnett and the Bruggeman form alisms. (C) 2001 John Wiley & Sons, Inc.