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- W4300132170 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 [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." @default.
- W4300132170 created "2022-10-03" @default.
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- W4300132170 date "2011-07-28" @default.
- W4300132170 modified "2023-09-26" @default.
- W4300132170 title "Fractal bodies invisible in 2 and 3 directions" @default.
- W4300132170 doi "https://doi.org/10.48550/arxiv.1107.5667" @default.
- W4300132170 hasPublicationYear "2011" @default.
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