Invisible obstacles

A. G. Ramm

Annales Polonici Mathematici (2007)

  • Volume: 90, Issue: 2, page 145-148
  • ISSN: 0066-2216

Abstract

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It is proved that one can choose a control function on an arbitrarilly 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.

How to cite

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A. G. Ramm. "Invisible obstacles." Annales Polonici Mathematici 90.2 (2007): 145-148. <http://eudml.org/doc/280965>.

@article{A2007,
abstract = {It is proved that one can choose a control function on an arbitrarilly 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.},
author = {A. G. Ramm},
journal = {Annales Polonici Mathematici},
keywords = {wave scattering; inverse problems; invisible obstacles},
language = {eng},
number = {2},
pages = {145-148},
title = {Invisible obstacles},
url = {http://eudml.org/doc/280965},
volume = {90},
year = {2007},
}

TY - JOUR
AU - A. G. Ramm
TI - Invisible obstacles
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 2
SP - 145
EP - 148
AB - It is proved that one can choose a control function on an arbitrarilly 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.
LA - eng
KW - wave scattering; inverse problems; invisible obstacles
UR - http://eudml.org/doc/280965
ER -

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