PHYSICS

Passage through x-ray protection having the structure of homogeneous fractals

V. A. Churikov

Tomsk Polytechnic University, Tomsk, 634050, Tomsk, pr. Lenina 30, Russia

Abstract: In this paper we generalize the law of Bouguer-Lambert in the case of a homogeneous fractal. With detailed analysis in terms of d-output operator generalized law of Bouguer-Lambert-Beer law, which in particular includes the classical law of optics Bouguer-Lambert-Beer.

Keywords: d-operator, homogeneous fractal, fractal dimension, the law of Bouguer-Lambert-Beer.

UDC: 517.955

MSC: 35C05

Received: 03.12.2014

DOI: 10.18454/2079-6641-2014-9-2-53-58

 English version: Bulletin KRASEC. Physical and Mathematical Sciences, 2014, 9:2, 56–61

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