Effective medium theories are valuable tools that can provide effectiv
e refractive indices of composite media whose constituents are much sm
aller than the wavelength of the illuminating radiation. Extended theo
ries have been developed to remove this limitation on the constituent
size. Although these extended theories are not derived without additio
nal limitations, useful regions of applicability do exist. We examine
an extended effective-medium approximation and show that its predicted
absorption efficiencies obtained agree well with exact theoretical re
sults obtained for a naturally occurring system of interest, water dro
plets containing carbon inclusions.