Fractal bodies invisible in 2 and 3 directions

Details Fractal bodies invisible in 2 and 3 directions Fractal bodies invisible in 2 and 3 directions

2011-07-28

arxiv.org/abs/1107.5667v1

Mathematics

Dynamical Systems

Scientific paper

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 a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [A. Aleksenko and A. Plakhov. Bodies of zero resistance and bodies invisible in one direction. Nonlinearity 22, 1247-1258 (2009)], [A Plakhov and V Roshchina. Invisibility in billiards. Nonlinearity 24, 847-854 (2011)], where two-dimensional bodies invisible in one direction and three-dimensional bodies invisible in one and two orthogonal directions were constructed.

Affiliated with

Also associated with

No associations

Rating

Fractal bodies invisible in 2 and 3 directions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractal bodies invisible in 2 and 3 directions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractal bodies invisible in 2 and 3 directions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-413953