Virtual reshaping and invisibility in obstacle scattering

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 i...

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Bibliographic Details
Published inInverse problems Vol. 25; no. 4; pp. 045006 - 045006 (16)
Main Author Liu, Hongyu
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2009
Institute of Physics
Subjects
Exact sciences and technology
Physics
Diameter
Inverse problems
Scattering amplitudes
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/25/4/045006