Electromagnetic homogenization is the process of estimating the
effective electromagnetic properties of composite materials in the
long-wavelength regime, wherein the length scales of
nonhomogeneities are much smaller than the wavelengths involved.
This is a bird's-eye view of currently available homogenization
formalisms for particulate composite materials. It presents
analytical methods only, with focus on the general settings of
anisotropy and bianisotropy. The authors largely concentrate on
'effective' materials as opposed to 'equivalent' materials, and
emphasize the fundamental (but sometimes overlooked) differences
between these two categories of homogenized composite materials.
The properties of an 'effective' material represents those of its
composite material, regardless of the geometry and dimensions of
the bulk materials and regardless of the orientations and
polarization states of the illuminating electromagnetic fields. In
contrast, the properties of 'equivalent' materials only represent
those of their corresponding composite materials under certain
restrictive circumstances.
General
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