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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 |
Files in This Item:
File | Description | Size | Format | |
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InvisibleFractal04.pdf | Documento principal | 747.93 kB | Adobe PDF | View/Open |
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