A dispersion theory for linear optical properties of two-phase layered-geom
etry nanocomposites is presented. Generalized dispersion relations and sum
rules are stated using the results from complex analysis. The concept of Lo
rentzian linear susceptibility is exploited in theoretical treatment of the
effective linear susceptibility of the nanocomposite. The meromorphism of
total reflectance in the case of effective meromorphic nonlinear susceptibi
lity was observed.