Mathematics – Analysis of PDEs
Scientific paper
2010-10-27
Mathematics
Analysis of PDEs
Scientific paper
In this paper, we consider the approximate acoustic cloaking in inhomogeneous isotropic background space. By employing transformation media, together with the use of a sound-soft layer lining right outside the cloaked region, we show that one can achieve the near-invisibility by the `blow-up-a-small-region' construction. This is based on the scattering estimates corresponding to small sound-soft obstacles located in isotropic space.
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