Approximate acoustic cloaking in inhomogeneous isotropic space
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 2631-2644 |
Journal / Publication | Science China Mathematics |
Volume | 56 |
Issue number | 12 |
Online published | 9 Jun 2013 |
Publication status | Published - Dec 2013 |
Externally published | Yes |
Link(s)
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.
In: Science China Mathematics, Vol. 56, No. 12, 12.2013, p. 2631-2644.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review