On Near-cloak in Acoustic Scattering

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We consider invisibility cloaking of active/radiating objects in acoustic scattering via the approach of transformation optics. A general lossy layer is incorporated into the construction of the near-cloaking devices. We derive very accurate estimates of the scattering amplitude in terms of the regularization parameter and the material parameters of the lossy layer in different settings. Our results on the one hand show how to cloak active contents more efficiently, and on the other hand indicate the optimal choice of choosing the lossy layer.

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