Rotational spin Hall effect in a uniaxial crystal

We have considered the propagation process of the phase-matched array of singular beams through a uniaxial crystal. We have revealed that local beams in the array are rotated when propagating. However the right and left rotations are unequal. There are at least two processes responsible for the array rotation: the interference of local beams and the spatial depolarization. The interference takes place in the vortex birth and annihilation events forming the symmetrical part of the rotation. The depolarization process contributes to the asymmetry of the rotation that is called the rotational spin Hall effect. It can be brought to light due to the difference between the envelopes of the dependences of the angular displacement on the inclination angle of the local beams or the crystal length reaching the value some angular degree. The direction of the additional array rotation is exclusively defined by the handedness of the circular polarization in the initial beam array.Comment: 26 pages, 11 figure

Experimental demonstration of singular-optical colouring of regularly scattered white light

Experimental interference modelling of the effects of colouring of a beam traversing a light-scattering medium is presented. It is shown that the result of colouring of the beam at the output of the medium depends on the magnitudes of the phase delays of the singly forward scattered partial signals. The colouring mechanism has for the first time experimentally been illustrated for a forward propagating beam through a light-scattering medium. This is showed in video-fragments of the interferograms recorded within the zero interference fringe with a gradual change of the path difference of the interfering polychromatic wave trains. Spectral investigation of the effects of colouring has been carried out using a solution of liquid crystal in a polymer matrix. The amplitude ratio of the non-scattered and the singly forward scattered interfering components significantly affects the colour intensity. It has further been established that the spectral content of the illuminating beam strongly influences the colour of the resulting radiation

The degree of mutual anisotropy of biological liquids polycrystalline nets as a parameter in diagnostics and differentiations of hominal inflammatory processes

To characterize the degree of consistency of parameters of the optically uniaxial birefringent protein nets of blood plasma a new parameter – complex degree of mutual anisotropy is suggested. The technique of polarization measuring the coordinate distributions of the complex degree of mutual anisotropy of blood plasma is developed. It is shown that statistic approach to the analysis of the complex degree of mutual anisotropy distributions of blood plasma is effective during the diagnostics and differentiation of an acute inflammatory processes as well as acute and gangrenous appendicitis

Wavelet analysis of myocardium polarization images in problems of diagnostic of necrotic changes

The paper presents the results of polarization manifestations of small - and Large-scale phase anisotropy of dead in consequence of ischemic heart disease (IHD) and acute coronary insufficiency (ACI) people myocardial tissue structures To differentiate information, the wavelet analysis method is used. The resulting maps of the of the polarizationcorrelation parameters distributions (the phase of the two-point first and second parameters of the Stokes vector) are analyzed in the framework of statistical approach. On this basis, the criteria for differential diagnosis of IHD and ACI cases have been determined

Wavelet analysis for polarization maps of biological images of optical anisotropic layers

Анотація. Теоретично обґрунтовано ефективність статистичного і фрактального аналізів розподілів вейвлет-коефіцієнтів матриці Мюллера лазерних зображень мереж біологічних кристалів людської тканини. Встановлено чіткий взаємозв'язок між статистичними моментами і спектрами потужності для розподілів вейвлет-коефіцієнтів і відповідним орієнтаційно-фазовими трансформаціями мереж біологічних кристалів. Визначено критерії статистичної та фрактальної діагностики змін двопроменезаломлюючої структури реальних біологічних кристалічних мереж, що відповідає патологічним змінам у тканині. Аннотация. Теоретически обоснована эффективность статистического и фрактального анализов распределений вейвлет-коэффициентов матрицы Мюллера лазерных изображений сетей биологических кристаллов человеческой ткани. Установлено четкая взаимосвязь между статистическими моментами и спектрами мощности для распределений вейвлет-коэффициентов и соответствующим ориентационно-фазовыми трансформациями сетей биологических кристаллов. Определены критерии статистической и фрактальной диагностики изменений двулучепреломляющей структуры реальных биологических кристаллических сетей, соответствует патологическим изменениям в ткани. Annotation. The efficiency of statistical and fractal analysis of the distribution of wavelet coefficients matrix Muller laser images of nets of crystals of human biological tissue has been theoretically grounded. A clear correlation between statistical moments and power spectrum distributions for wavelet coefficients and the corresponding orientation-phase transformation of crystals of biological nets has been determined. The criteria of statistical and fractal diagnosis of birefringence crystal structure of real biological nets changes, corresponds to the pathological changes in tissue

Spatial-frequency selection of complex degree of coherence of laser images of blood plasma in diagnostics and differentiation of pathological states of humanorganism of various nosology

The theoretical background of correlation and phase analysis of laser images of human blood plasma with the spatial-frequency selection of the manifestations of mechanisms of linear and circular birefringence of albumin and globulin is presented. The comparative results of measuring the coordinate distributions of the module of complex degree of coherence (CDC) of laser images of blood plasma taken from the patients of three groups-healthy patients (donors), the patients suffering from the rheumatoid arthritis, and those with stomach cancer (adenocarcinoma)-are shown. The values and ranges of change of the statistical (moments of the 1st–4th order), correlation (excess of autocorrelation functions), and fractal (slopes of approximating curves and dispersion of the extremes of logarithmic dependencies of power spectra) parameters of CDC coordinate distributions are studied. The objective criteria of diagnostics of the pathology and differentiation of the inflammation and oncological state are determined