Vol. 6, №1, 2014


Arzamastseva Galina V., Evtikhov Mikhail G., Lisovsky Fedor V., Mansvetova Ekaterina G.

Kotel’nikov Institute of Radio-Engineering and Electronics, Fryazino Branch, Russian Academy of Science, http://fire.relarn.ru
1, Vvedensky sq., 141120 Fryazino, Moscow region, Russian Federation,

A new method of planar geometrical bifractals design of “monofractal carrier – carried prefractal” type is suggested. On the basis of this method a number of bifractals were designed in a form of four geometrical monofractals combination (Sierpinski carpet, Viscec snowflake and two L-system fractals with axiom in a form of square box) were designed and their megapixel images and corresponding Fourier images in Fraunhofer region were obtained. For designed bifractals by spectral and covering methods the Hausdorf dimensions spectra were determined which were in good accordance with the theoretical ones.

Keywords: bifractal, computer simulation, Fourier transform, Fraunhofer diffraction, Hausdorf dimension, monofractal, multifractal

UDC 51.74; 535.4

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Received 16.05.2012

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