Virtual reshaping and invisibility in obstacle scattering

Hongyu Liu

doi:10.1088/0266-5611/25/4/045006

Virtual reshaping and invisibility in obstacle scattering

Hongyu Liu^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

80 Citations (Scopus)

Abstract

We consider reshaping an obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification in particular are studied. Stability estimates are derived for scattering amplitude in terms of the diameter of a small obstacle, which implies that the limiting case for minification corresponds to a perfect cloaking, i.e., the obstacle is invisible to detection. © 2009 IOP Publishing Ltd.

Original language	English
Article number	045006
Journal	Inverse Problems
Volume	25
Issue number	4
Online published	17 Feb 2009
DOIs	https://doi.org/10.1088/0266-5611/25/4/045006
Publication status	Published - Apr 2009
Externally published	Yes

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title = "Virtual reshaping and invisibility in obstacle scattering",

abstract = "We consider reshaping an obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification in particular are studied. Stability estimates are derived for scattering amplitude in terms of the diameter of a small obstacle, which implies that the limiting case for minification corresponds to a perfect cloaking, i.e., the obstacle is invisible to detection. {\textcopyright} 2009 IOP Publishing Ltd.",

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PY - 2009/4

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N2 - We consider reshaping an obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification in particular are studied. Stability estimates are derived for scattering amplitude in terms of the diameter of a small obstacle, which implies that the limiting case for minification corresponds to a perfect cloaking, i.e., the obstacle is invisible to detection. © 2009 IOP Publishing Ltd.

AB - We consider reshaping an obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification in particular are studied. Stability estimates are derived for scattering amplitude in terms of the diameter of a small obstacle, which implies that the limiting case for minification corresponds to a perfect cloaking, i.e., the obstacle is invisible to detection. © 2009 IOP Publishing Ltd.

UR - https://www.scopus.com/pages/publications/70350309494

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-70350309494&origin=recordpage

U2 - 10.1088/0266-5611/25/4/045006

DO - 10.1088/0266-5611/25/4/045006

M3 - RGC 21 - Publication in refereed journal

SN - 0266-5611

VL - 25

JO - Inverse Problems

JF - Inverse Problems

IS - 4

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ER -

Virtual reshaping and invisibility in obstacle scattering

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