English

Virtual reshaping and invisibility in obstacle scattering

Optics 2009-11-13 v2 Mathematical Physics Analysis of PDEs math.MP Accelerator Physics

Abstract

We consider reshaping a scattering obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification are particularly 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.

Keywords

Cite

@article{arxiv.0811.1308,
  title  = {Virtual reshaping and invisibility in obstacle scattering},
  author = {Hongyu Liu},
  journal= {arXiv preprint arXiv:0811.1308},
  year   = {2009}
}

Comments

This is the latest revised version

R2 v1 2026-06-21T11:39:36.108Z