Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/15146
Title: Fractal bodies invisible in 2 and 3 directions
Author: Plakhov, Alexander
Roshchina, Vera
Keywords: Invisibility in geometrical optics
Problems of minimal resistance
Billiards
Issue Date: Apr-2013
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: 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 [1, 12], where two-dimensional bodies invisible in one direction and three dimensional bodies invisible in one and two orthogonal directions were constructed.
Peer review: yes
URI: http://hdl.handle.net/10773/15146
DOI: 10.3934/dcds.2013.33.1615
ISSN: 1078-0947
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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