Bulletin KRASEC. Phys. & Math. Sci, 2014, V. 9, №. 2, pp. 56-61. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2014-9-2-56-61

MSC 35C05

PASSAGE THROUGH X-RAY PROTECTION HAVING THE STRUCTURE OF HOMOGENEOUS FRACTALS

V.A. Churikov

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

E-mail: vachurikov@list.ru.

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 BouguerLambert-Beer law, which in particular includes the classical law of optics Bouguer-LambertBeer.

Key words: d-operator, homogeneous fractal, fractal dimension, the law of BouguerLambert-Beer.

References

  1.  Ahmanov S.A., Nikitin S. Yu. Fizicheskaya optika[Physical optics]. Moscow, Nauka Publ., 2004. 656 p.
  2. Churikov V.A. Zamechaniya po povodu drobnoj razmernosti pri opisanii processov vo fraktalah [Comments on the fractional dimension in describing processes in fractals]. Trudy 7 Vserossijskoj molodezhnoj 60 X-ray transmission through the mediums nauchno-innovacionnoj shkoly «Matematika i matematicheskoe modelirovanie» [Proc. 7th All-Russian Youth Research and Innovation School «Mathematics and Mathematical Modeling»]. Sarov, 2013, pp. 59.
  3. Churikov V.A. Kratkoe vvedenie v drobnyj analiz celochislennyh poryadkov [A brief introduction to the detailed analysis of integer orders]. Tomsk, TPU Publ., 2011. 72 p.
  4. Churikov V.A. Zamechaniya o metode razdeleniya potokov bez obmena pri opisanii fizicheskih processov na fraktalah [Note the method of separation of flows without sharing in the description of physical processes on fractals].Trudy 7 Vserossijskoj molodezhnoj nauchno-innovacionnoj shkoly «Matematika i matematicheskoe modelirovanie» [Proc. 7th All-Russian Youth Research and Innovation School «Mathematics and Mathematical Modeling»]. Sarov, 2013. pp. 54–55.
  5. Blohin M.A. Fizika rentgenovskih luchej [X-ray physics]. Moscow, GITTL Publ., 1957. 518 p.

Original article submitted: 03.12.2014

Chur  Churikov Viktor Anatolyevich – Ph.D. (Phys. & Math.), Associate Professor Dep. of Mathematics, Tomsk Polytechnic University, Tomsk, Russia.

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