论文信息 - Analysis of fractal dimensions in the express diagnostics of bacterial colonies

Analysis of fractal dimensions in the express diagnostics of bacterial colonies

The features of the formation of speckle structures under irradiation of a model fractal (Sierpinski carpet) have been investigated. The relationship between the fractal properties of the diffraction pattern and the scattering structure parameters (model fractal geometrical sizes, fractal depth) has been analyzed for the irradiation by a focused light beam, whose size is comparable with that of the irradiated object. The results of the computer simulation of the Gaussian beam scattering in bacterial colonies are compared with the experimental data.

A. S. Ulyanov

[1] Jun Uozumi,et al. Effects of random noise on bispectra of fractal objects , 1995 .

[2] J. Goodman. Introduction to Fourier optics , 1969 .

[3] J. Goodman. Statistical Optics , 1985 .

[4] Jun Uozumi,et al. Enhancement of the backscattered intensity from fractal aggregates , 1992 .

[5] T. Asakura,et al. Ballistic propagation of light through fractal gels , 1994 .

[6] A. Eke,et al. Fractal characterization of complexity in temporal physiological signals , 2002, Physiological measurement.

[7] K. A. O’Donnell. Speckle statistics of doubly scattered light , 1982 .

[8] Correlation properties of light backscattered multiply from fractal aggregates of particles under brownian motion. , 1999, Journal of biomedical optics.

[9] M. Françon,et al. Laser Speckle and Applications in Optics , 1979 .

[10] J. Uozumi,et al. Generation of fractal speckles by means of a spatial light modulator. , 2007, Optics express.

[11] Application of laser speckles for identification of tissues with pathological changes , 2008 .

[12] M. Khokha,et al. Fractal Geometry in Biological Systems: An Analytical Approach , 1996 .

[13] D. Newman. K distributions from doubly scattered light , 1985 .