  Polarization tensor corresponding to near zero volume inhomogeneities was
introduced in the pioneering work by Capdeboscq-Vogelius \cite{CV1,CV2}. A
beautiful application of the polarization tensor to an inverse problem
involving inhomogeneities was also given by them. In this article, we take an
approach toward polarization tensor via homogenized tensor. Accordingly, we
introduce polarization tensor corresponding to inhomogeneities with positive
volume fraction.A relation between this tensor and the homogenized tensor is
found. Next, we proceed to examine the sense in which this tensor is continuous
as the volume fraction tends to zero. Our approach has its own advantages, as
we will see. In particular, it provides another method to deduce optimal
estimates on polarization tensors in any dimension from those on homogenized
tensors, along with the information on underlying microstructures.
