English

Invisible obstacles

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

It is proved that one can choose a control function on an arbitrary small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called "invisible" in this case.

Keywords

Cite

@article{arxiv.math-ph/0608034,
  title  = {Invisible obstacles},
  author = {A. G. Ramm},
  journal= {arXiv preprint arXiv:math-ph/0608034},
  year   = {2007}
}