Abstract
In the last decade, the coordinate transformation theory that developed to design electromagnetic (EM) cloaks has been further extended to design acoustic cloaks, which promise potential applications such as sound transparency and insulation. The realization of acoustic cloaks depends on the metamaterials with anisotropic density and bulk modulus. It has been shown that alternating layers of homogeneous isotropic materials can be used to approximate the anisotropic metamaterials that acoustic cloak required. As a kind of complex material, the dispersion with frequency is important to the cloaking effect of it. In this work, we specifically examine the frequency response of the multilayer structured acoustic cloaks by the acoustic scattering theory. The acoustic scattering cross sections of the cloak constructed by multilayered metamaterials with different dispersion are presented and discussed. The relation between the cloaking effect and the dispersion are analyzed. And the results are confirmed by numerical simulations of the finite element method.
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