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24 June 2002 Electromagnetic properties of super-lattice in the long wavelength regime
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Is shown that the fulfillment of long-wavelength approximation does not guarantee correct introduction of the effective constitutive parameters and for one-dimensional heterogeneous system if one tries to take into account effects of spatial dispersion (retardation on an elementary layer). Is shown that though in one-dimensional periodic medium the effective wavenumber tends to the well-known Rytov's value as the sample thickness tends to infinity whereas the effective characteristic impedance does not tend to any limit at all, exhibiting periodical behavior. This results in strong dependence of the effective constitutive parameters on sample thickness. The deviation of the finite sample values from Rytov's values may achieve 100 percent even in the long-wavelength limit.
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Alexei P. Vinogradov and Alexander M. Merzlikin "Electromagnetic properties of super-lattice in the long wavelength regime", Proc. SPIE 4806, Complex Mediums III: Beyond Linear Isotropic Dielectrics, (24 June 2002);

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