Invisible obstacles
Volume 90 / 2007
Annales Polonici Mathematici 90 (2007), 145-148
MSC: 35J05, 35R30, 74J20, 74J25.
DOI: 10.4064/ap90-2-4
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.