A homogenization route towards square cylindrical acoustic cloaks

Physics

Scientific paper

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Scientific paper

We analyse the acoustic properties of a square cylindrical heterogeneous orthotropic cloak deduced from a geometric transform. We propose to achieve some of the properties of this cloak with an elastic square coating divided into 256 cracks preserving its four-fold symmetry. The cloaking mechanism renders freely vibrating and clamped inclusions neutral to some extent and is inherently broadband: provided that the working wavelength is at least three times larger than the outermost sectors of the coating, its homogenized elastic parameters display some transverse anisotropy. Finally, we compare such a cloak to an absorbing coating consisting of elliptical inclusions.

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