Application of Fraunhofer diffraction patterns for calculation of fractal dimension

被引：0

作者：

Muzychenko, Yana B. ^{[1
]}

Zinchik, Alexander A. ^{[1
]}

Stafeev, Sergey C. ^{[1
]}

机构：

[1] Natl Res Univ Informat Technol Mech & Opt, Dept Phys, St Petersburg 197101, Russia

来源：

22ND CONGRESS OF THE INTERNATIONAL COMMISSION FOR OPTICS: LIGHT FOR THE DEVELOPMENT OF THE WORLD | 2011年 / 8011卷

关键词：

fractal; Fraunhofer diffraction; Fourier transform; fractal dimension; self-similarity;

D O I：

10.1117/12.902174

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper the modificated method of calculation of fractal dimension is described. The method is based on effective averaging procedure and deals with the number of fractal generation levels. The existing methods of calculation of fractal dimension need the information about structure factor or scaling factor, which are generally unknown for real objects. The offered algorithm of calculation fractal dimensions allows to calculate fractal dimension of object with a relative error less than 1%. Thus for calculation of dimension there is no necessity to reveal the factor of structure and scaling factor. The method was checked on the wide range of two-dimensional fractals with exact self-similarity and different values of fractal dimension.

引用

页数：7

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