Casimir force with the inclusion of a finite thickness of interacting plates

The Casimir force between two thin metal films is calculated with allowance made for a finite thickness of the films and a finite plasma frequency. The conditions are determined under which the Casimir force in the films can be weakened considerably (by at least one order of magnitude) as compared to massive metal plates. A comparison with the available experimental data is performed and the conclusion is drawn that the observed values of the Casimir force for the films can be explained in terms of the existing theory under the assumption that the wavelength of plasma oscillations in real films is larger than 1000 nm.