Virtual reshaping and invisibility in obstacle scattering

Liu, H. (2009) Virtual reshaping and invisibility in obstacle scattering. Inverse Problems, 25 (4). 045006. ISSN 0266-5611 doi: 10.1088/0266-5611/25/4/045006

Abstract/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.