Approximate acoustic cloaking in inhomogeneous isotropic space

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

3 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2631-2644
Journal / PublicationScience China Mathematics
Volume56
Issue number12
Online published9 Jun 2013
Publication statusPublished - Dec 2013
Externally publishedYes

Abstract

We consider the approximate acoustic cloaking in an 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 novel scattering estimates corresponding to multiple multi-scale obstacles located in an isotropic space. We develop a novel system of integral equations to decouple the nonlinear scattering interaction among the small obstacle components, the regular obstacle components and the inhomogeneous background medium.

Research Area(s)

  • transformation optics, approximate invisibility cloaking, scattering estimates, integral operator equations

Citation Format(s)

Approximate acoustic cloaking in inhomogeneous isotropic space. / Li, JingZhi; Liu, HongYu; Mao, ShiPeng.
In: Science China Mathematics, Vol. 56, No. 12, 12.2013, p. 2631-2644.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review