Any physical object or medium is a complex, optically heterogeneous, structure. Such heterogeneity is characterized by the spatial distributions of the overall optical parameters (refractive indices and absorption) and their anisotropic components (linear and circular birefringence, linear and circular dichroism).

Figures 3.1, 3.2, and Table 3.1 present the results of a wavelet analysis of polarization maps of microscopic images of a histological section of the skeletal muscle.

The analysis of the obtained data revealed a large degree of polarization uniformity of the microscopic image of the optically anisotropic spatially ordered fibrillar network of the skeletal muscle at small geometric scales, which are formed by optically active chains of myosin molecules in comparison with large window scales of the MHAT function. This fact is indicated by the different “structures” of the distribution of the values of the wavelet coefficients \(W_{a,b} \left\{ {V\left( {x,y} \right)} \right\}\) and their different-scale anharmonic distributions \(C_{a,b}\). As can be seen, at the small size window of the wavelet function, a rather harmonious (with a small modulation depth) modulation of the amplitude of the wavelet-coefficients \(W_{a = \hbox{min} ,b}\) of the coordinate distribution of the values of the CDMP modulus of the points of the microscopic image is formed. The opposite picture—the formation of anharmonic distributions (with a large modulation depth) of the amplitude of the wavelet-coefficients \(W_{a = \hbox{max} ,b}\)—takes place for the large-scale MHAT window—a function that distinguishes the manifestations of linear birefringence of the fibrillar network.

Conduct scale-selective wavelet and Fourier analyses [84][85][86] of polarizationinhomogeneous fields of the main types of biological tissue [11, 14-16, 22-26, 35, 44, 49-54].This can be considered as a "single-point" laser-polarimetric correlation approach.vii

This section presents the results of the practical application of the theoretical correlation approach for combining the polarization.

A method of polarization mapping of the optical-anisotropic polycrystalline networks of the blood plasma albumin and globulin proteins with adjusted spatial-frequency filtering of the coordinate distributions of the azimuth and ellipticity of the polarization of laser radiation in the Fourier plane is proposed and substantiated. A set of criteria of diagnosing prostate cancer based on the statistical correlation and fractal analysis of the spatial-frequency filtered polarization distributions generated by dendritic networks of albumin and globulin spherulitic networks has been detected and substantiated.