Scattering of laser radiation by multifractal biological structures

Angelskii, O. V.; Ushenko, A. G.; Arkhelyuk, A. D.; Ermolenko, S. B.; Burkovets, Dimitry N.

doi:10.1134/1.626815

Cited by 47 publications

(33 citation statements)

References 3 publications

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“…Let us consider in details the analytical description оf the processes of laser radiation transformation in myocardium tissue as being based on the following assumptions [4,[6][7][8][9][10][11]:…”

Section: Theorymentioning

confidence: 99%

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Correlation optical microscopy of anisotropic biological layers

Ushenko¹

2017

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract. The theoretical background of an azimuthally stable method for Jones-matrix mapping histological sections of biopsy taken from myocardium tissue on the basis of spatial frequency selection of mechanisms responsible for linear and circular birefringence is presented. The diagnostic application of a new correlation parametercomplex degree of mutual anisotropy -has been analytically substantiated. The method for measuring coordinate distributions of complex degree of mutual anisotropy with further spatial filtration of their high-and low-frequency components has been developed. The interrelations of these distributions with parameters of linear and circular birefringence in myocardium tissue histological sections have been found. The comparative results of measuring the coordinate distributions inherent to complex degree of mutual anisotropy related with fibrillar networks of myosin fibrils typical for myocardium tissue in different necrotic states, when death is caused by coronary heart disease and acute coronary insufficiency, have been presented. The values and ranges of changes in the statistical (moments of the 1 st to 4 th order) parameters describing the complex degree of mutual anisotropy coordinate distributions have been studied. The objective criteria for differentiation of causes leading to death have been determined.

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Section: Theorymentioning

confidence: 99%

“… Polarization methods [4][5][6][7]. The main disadvantage of polarization methods consists in the azimuthal dependence of the obtained data on the rotation angle of the sample relatively to the probing beam [4,[8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Correlation optical microscopy of anisotropic biological layers

Ushenko¹

2017

Semicond. Phys. Quantum Electron. Optoelectron.

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“…The main "information product" of using these methods is data for coordinate distributions inherent to Mueller and Jones matrixes typical for BT [1 -5]. Then, these data can be processed with statistical (statistical moments of the first to fourth orders [5,6,10,14,19,25,26,30]), correlation (auto-and mutual-correlation functions [12,17,18,21,26]), fractal (fractal dimensionalities [5,6,25]), singular (distributions of amounts of linear and circularly polarized states), wavelet (sets of wavelet coefficients for various scales of biological crystals [22,28]) analyses. As a result, one can determine interrelations between a set of these parameters and distributions of optical axis directions as well as the birefringence value inherent to networks of optically single-axis protein (myosin, collagen, elastin, etc.)…”

Section: 0mentioning

confidence: 99%

Wavelet analysis of Jones-matrix images corresponding to polycrystalline networks of biological crystals in diagnostics of tuberculosis

Заболотна¹

2011

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract. Determined in this work are analytical interrelations between orientations of optical axes and birefringence of biological crystals as well as characteristic values of elements in the Jones matrix for flat layers of polycrystalline networks, which determine conditions for formation of polarization singularities in laser images. Performed is a complex statistical, correlation and fractal analysis of distributions for the amount of characteristic values inherent to the Jones matrix elements describing layers of saliva taken from a healthy patient and that sick with tuberculosis. The authors have ascertained objective criteria to differentiate optical properties of polycrystalline networks of human saliva in various physiological states. Offered is Jones-matrix diagnostics of tuberculosis.

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“…11À15 Using these approaches, interrelations between the sets of statistic moments of the 1st to the 4th orders have been found. 16,17 Compared with traditional statistic investigations, new optical approaches for describing the structures of¯elds in the case of scattered coherent radiation have been formed in recent 10À15 years. The complex coordinate distribution of azimuths This is an Open Access article published by World Scienti¯c Publishing Company.…”

Section: Introductionmentioning

confidence: 99%

Classifying Optical Properties of Surface- And Bulk-Scattering Biological Layers With Polarization Singular States

Ushenko

Bodnar

Koval

2013

J. Innov. Opt. Health Sci.

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The results of singular approach usage in the tasks of description and classi¯cation of appearance of optical anisotropy of di®erent types of phase-inhomogeneous biological layers (surfacescattering, optically thin and optically thick) have been presented. The characteristic values of the fourth Stokes vector parameter (S 4 ¼ 0 -linear polarization -(L-state); S 4 ¼ AE1 -circular polarization -(AEC-state)) have been chosen as the main analytical tool describing polarization-singular states. The value of S 4 has been determined by the value of phase shift between the orthogonal components of amplitude in the point of biological layer laser image and therefore is azimuthally stable. Hence, statistic moments of the¯rst to the fourth orders characterizing the distribution of the amount of characteristic values S 4 ¼ 0; S 4 ¼ AE1 have been used for de¯nition and di®erentiation of optical properties of di®erent types of biological layerssurface scattering, optically thin and optically thick human skin.

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Scattering of laser radiation by multifractal biological structures

Cited by 47 publications

References 3 publications

Correlation optical microscopy of anisotropic biological layers

Correlation optical microscopy of anisotropic biological layers

Wavelet analysis of Jones-matrix images corresponding to polycrystalline networks of biological crystals in diagnostics of tuberculosis

Classifying Optical Properties of Surface- And Bulk-Scattering Biological Layers With Polarization Singular States

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