Effective magnetoelectric tensor of a composite material

We calculate the effective magnetoelectric coefficient tensor of a composite of two single-phase magnetoelectrics in which effect of strain is unimportant. We obtain exact relations for elements of the effective magnetoelectric coefficient tensor entirely in terms of the elements of the individual components, and the composite geometry. The problem is solved by a decoupling transformation that reduces the problem to finding the effective coefficients in a composite of the {\emph same geometry} but with two {\emph independent, curl-free fields}. The decoupling transformation is found to be identical to that used in the problem of composite thermoelectrics \footnote{D. J. Bergman and O. Levy. Thermoelectric properties of a composite medium. J. Appl. Phys., 70:6821 - 6833, 1991}. Details of the calculation will be presented.