Applicability of the singular-optics concept for diagnostics of random and fractal rough surfaces

Angelsky, Oleg V.; Burkovets, Dmitry N.; Maksimyak, Peter P.; Hanson, Steen Grüner

doi:10.1364/ao.42.004529

Cited by 58 publications

(35 citation statements)

References 9 publications

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“…To estimate d( ) m ń distributions, we calculated the set of statistical moments of the 1−st to 4−th orders Z j=1 2 3 4 ; ; ; [13] …”

Section: Algorithms For Statistical Correlation and Fractal Analysementioning

confidence: 99%

“…Among the methods for optical diagnostics of human bio− logical tissues (BT), the methods of laser polarimetric diag− nostics aimed on their optically−anisotropic structure are widely spread [1][2][3][4][5][6][7][8][9][10][11][12][13]. The main "information product" of these methods is availability of coordinate distributions for the azimuths a(x, y) and the ellipticity b(x, y) of polarization (polarization maps) with the following types of analyses: statistical (statistical moments of the 1−st to 4−th orders, Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The main "information product" of these methods is availability of coordinate distributions for the azimuths a(x, y) and the ellipticity b(x, y) of polarization (polarization maps) with the following types of analyses: statistical (statistical moments of the 1−st to 4−th orders, Ref. 13), correlation (auto− and cross−correlation function, Ref. 14), fractal (fractal dimensions, Ref.…”

Section: Introductionmentioning

confidence: 99%

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Phase maps of polycrystalline human biological fluids networks: statistical, correlation, and fractal analysis

Ushenko

2011

Opto-Electronics Review

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The complex statistical and fractal analysis of phase properties, inherent to birefringence networks of liquid crystals consisting of optically-thin layers, prepared from synovial fluid taken from human joints, is performed in this work. Within the framework of a statistical approach, the authors have investigated values and ranges for changes of statistical moments of the 1-st to the 4-th orders that characterize coordinate distributions for phase shifts between orthogonal components of amplitudes inherent to laser radiation, transformed by synovial fluid layers, for human joints with various pathologies. The correlation criteria for differentiation of phase maps, describing pathologically changed liquid-crystal networks, have been ascertained. In the framework of the fractal approach, dimensions of self-similar coordinate phase distributions as well as features of transformation of logarithmic dependences for power spectra of these distributions for various types of human joint pathologies are determined.

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“…To estimate d( ) m ń distributions, we calculated the set of statistical moments of the 1−st to 4−th orders Z j=1 2 3 4 ; ; ; [13] …”

Section: Algorithms For Statistical Correlation and Fractal Analysementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase maps of polycrystalline human biological fluids networks: statistical, correlation, and fractal analysis

Ushenko

2011

Opto-Electronics Review

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“…Two types of surfaces have been modelled, viz. random non-fractal (RN) and random fractal (RF) [7][8][9]. The heights of the inhomogeneities for the random object have been specified by a random generator giving a Gaussian distribution.…”

Section: Computer Simulation and Computation Of The Fieldmentioning

confidence: 99%

“…Let us consider the dependence of the number of amplitude zeroes in a field scattered from a rough surface dependent on the position of the registration zone and dependent on the maximal interval of heights, all within the framework of the RPO model. Computer simulation of light scattering of monochromatic radiation has been performed for a surface with a Gaussian height distribution and with the following parameters for the experiment: object size -400x400 μm, the number of pixels in the object -1200x1200, field size -10x10 μm, the number of pixels in the field1000x1000 [7][8][9].…”

Section: Investigation Of the Dependence Of The Number Of Amplitude Zmentioning

confidence: 99%

Spatial Behaviour of Singularities in Fractal- and Gaussian Speckle Fields

Angelsky¹,

Maksimyak²,

Maksimyak³

et al. 2009

TOOPTSJ

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Peculiarities of the spatial behaviour of the dislocation lines resulting from scattering of coherent radiation from random and fractal rough surfaces are studied. The technique of optical correlation is proposed for diagnostics of phase singularities in a complex speckle field by comparing the correlation lengths of amplitude and intensity of the local fields. It is shown that the dislocation lines in the field scattered by a fractal surface have fractal properties, while the dislocation lines scattered off a random surface have no fractal properties.

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Optical Correlation Diagnostics of Surface Roughness

Angelsky

Maksimyak

2004

Handbook of Coherent Domain Optical Methods

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Applicability of the singular-optics concept for diagnostics of random and fractal rough surfaces

Cited by 58 publications

References 9 publications

Phase maps of polycrystalline human biological fluids networks: statistical, correlation, and fractal analysis

Phase maps of polycrystalline human biological fluids networks: statistical, correlation, and fractal analysis

Spatial Behaviour of Singularities in Fractal- and Gaussian Speckle Fields

Optical Correlation Diagnostics of Surface Roughness

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