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math.DS2012
Invisibility in billiards is impossible in an infinite number of directions
Alexander Plakhov, Vera Roshchina
We consider the billiard in the exterior of a piecewise smooth body in two-dimensional Euclidean space and show that the maximum number of directions of invisibility in such billia…
math.DS2011
Fractal bodies invisible in 2 and 3 directions
Alexander Plakhov, Vera Roshchina
We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct…