Abstract
The optical properties of discontinuous copper films evaporated on quartz glass substrates at volume fractions ranging from 0.2 to 1 are investigated. The range of the dielectric, the percolation threshold, and the range of metallic properties are determined. The transmittance spectra of copper films with low volume fractions are interpreted in terms of the Maxwell-Garnett theory, which incorporates the size effect, the island shape and the surface layer. To explain the experimental results for films with higher volume fractions a new method, the renormalization approach, is used. This method has been applied to digitized transmission electron micrographs for the calculation of the transmittance spectra of discontinuous metal films. The results hold for both the resonant absorption and the percolation threshold. The calculated transmittance spectra are in good quantitative agreement with the experimental data near the cross-over corresponding to the dielectric-metal transition. It is also found to obey the scaling law with the critical exponent close to the theoretical value for the 3D-medium.
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