Virtual reshaping and invisibility in obstacle scattering

Hongyu Liu*

*Corresponding author for this work

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

78 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 languageEnglish
Article number045006
JournalInverse Problems
Volume25
Issue number4
Online published17 Feb 2009
DOIs
Publication statusPublished - Apr 2009
Externally publishedYes

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