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FRACTAL BODIES INVISIBLE IN 2 AND 3 DIRECTIONS

机译:分形体在2个和3个方向上均不可见

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摘要

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.
机译:我们研究了在几何光学框架内具有镜面的物体的隐形性问题。我们表明,对于任何两个给定方向,都可以构造在这些方向上不可见的二维分形体。此外,存在在三个正交方向上不可见的三维分形体。这项工作在[1,12]中继续了先前的研究,其中构造了在一个方向上不可见的二维物体和在一个和两个正交方向上不可见的三维物体。

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