Polarization-singular structure in laser images of phase-inhomogeneous layers to diagnose and classify their optical properties

Adduced in this work are the results of investigation aimed at analysis of coordinate distributions for azimuths and ellipticity of polarization (polarization maps) in laser images of three types of phase-inhomogeneous layers (PhIL), namely: rough, ground and bulk scattering layers. To characterize polarization maps for all the types of PhIL, the authors have offered to use three groups of parameters: statistical moments of the first to fourth orders, autocorrelation functions, logarithmic dependences for power spectra related to distributions of azimuths and ellipticity of polarization inherent to PhIL laser images. Ascertained are the criteria for diagnostics and classification of PhIL optical properties

Polarization-singular structure in laser images of phase-inhomogeneous layers to diagnose and classify their optical properties

Adduced in this work are the results of investigation aimed at analysis of coordinate distributions for azimuths and ellipticity of polarization (polarization maps) in laser images of three types of phase-inhomogeneous layers (PhIL), namely: rough, ground and bulk scattering layers. To characterize polarization maps for all the types of PhIL, the authors have offered to use three groups of parameters: statistical moments of the first to fourth orders, autocorrelation functions, logarithmic dependences for power spectra related to distributions of azimuths and ellipticity of polarization inherent to PhIL laser images. Ascertained are the criteria for diagnostics and classification of PhIL optical properties

Polarization Singular Structure of Laser Images of Stratified Phase Inhomogeneous Layers for the Diagnostics and Classification of their Optical Properties

Presented in this work are the results of investigation aimed at analysis of coordinate distri butions for azimuths and ellipticity of polarization (polarization maps) in laser images of three types of phase inhomogeneous layers, namely: rough, ground and bulk scattering layers. To characterize polarization maps for all the types of phase inhomogeneous layers, the authors have offered to use three groups of parameters: statistical moments of the first to the fourth orders, autocorrelation func tions and logarithmic dependences for power spectra related to distributions of azimuths and ellipticity of polarization inherent to phase inhomogeneous layers laser images. Ascertained are the criteria for diagnostics and classification of phase inhomogeneous layers optical properties

Wavelet analysis for polarization inhomogeneous laser images of blood plasma

The possibilities of the local wavelet-analysis of polarization-inhomogeneous laser image of human blood plasma were considered. The set of statistics, correlation and fractal parameters of the distributions of wavelet-coefficients that are characterize different scales of the polarization maps of polycrystalline networks of amino acids of blood plasma were defined. The criteria for the differentiation of the transformation of birefringence optical-anisotropic structures of blood plasma at different scales of their geometric dimensions were determined

Permeability Estimates of Self-Affine Fracture Faults Based on Generalization of the Bottle Neck Concept

We propose a method for calculating the effective permeability of two-dimensional self-affine permeability fields based on generalizing the one-dimensional concept of a bottleneck. We test the method on fracture faults where the local permeability field is given by the cube of the aperture field. The method remains accurate even when there is substantial mechanical overlap between the two fracture surfaces. The computational efficiency of the method is comparable to calculating a simple average and is more than two orders of magnitude faster than solving the Reynolds equations using a finite-difference scheme