Abstract
A method is introduced to study the transmission and scattering properties of acoustic waves in two–dimen- sional phononic band gap (PBG) materials. First, it is used to calculate the transmission coefficients of PBG samples. Second, the transmitted power is calculated based on the far field approach. We have also calcu- lated the scattering cross section, the results indicate that phononic band gap appear in frequency regions between two well separated resonance states.
Highlights
The acoustic properties of a locally homogeneous and isotropic composite material is characterized by a set of parameters varying in space: mass densityρ, Lamé coefficients λ, and μ
We have calculated the scattering cross section, the results indicate that phononic band gap appear in frequency regions between two well separated resonance states
In this paper we focus on the composite materials, which consist of homogeneous particles distributed periodically in a host medium
Summary
The acoustic properties of a locally homogeneous and isotropic composite material is characterized by a set of parameters varying in space: mass densityρ, Lamé coefficients λ, and μ. In this paper we focus on the composite materials, which consist of homogeneous particles distributed periodically in a host medium. They are characterized by different mass densities and Lamé coefficients. In order to study the propagation of acoustic waves in phononic crystal, we consider a two-dimensional periodic system consisting of finite cylinders of circular cross section. In the case of transmission, a generalized transmission coefficient can be defined in terms of the far-field total scattering amplitude, from the total scattering amplitude we can retrieve the dispersion relations and the decay length inside a gap By adopted this method, the incident field, scattered field and the total scattering amplitude become very simple form, the calculating can be extremely simplified. We explicitly demonstrate that this method can produce transmission results that are in excellent quantitative agreements with the available experimental data
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