Wave propagation in periodic layered composites
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abstract
Wave propagation in periodic composite materials is characterized by pass bands and stop bands in the frequency domain. The amplitude of the waves is sharply attenuated within the stop bands. The purpose of this paper is to explore the wave propagation behavior in layered composites with a finite number of layers. The magnitude and phase of the transmitted wave are calculated by the well-known Thomson-Haskell T-matrix approach (Thomson, 1950; Haskell, 1953). The effective properties of the composite are calculated by the homogenization, i.e. replacing the composite by a single-layer of an equivalent homogenized medium. The phase predicted by the T-Matrix approach is substituted into the single layer model to calculate the phase and group velocities. As expected, the phase velocity varies with the frequency. Moreover, the phase velocity is non-unique for certain frequencies.
