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arxiv: math-ph/0608034 · v1 · submitted 2006-08-14 · 🧮 math-ph · math.MP

Invisible obstacles

classification 🧮 math-ph math.MP
keywords obstaclefixedinvisiblesmallwavearbitraryboundarycalled
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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.

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