Multilevel Digital Algorithms for Statistical Analysis of Microscopic Images for Differentiating Temperature Changes in Polygraphic Polymers

Abstract

The materials of this article contain a concise and systematic presentation of a new theoretical and experimental approach in the development and generalization of methods for laser polarization introscopy of polycrystalline architectonics of phase-inhomogeneous layers with various mechanisms of optical anisotropy — linear and circular birefringence and dichroism. The main task of the work was the development of an analytical polarization Mueller-matrix approach, which provides the possibility of differentiating the optically anisotropic properties of polymeric materials with diffuse light scattering. The implementation of this problem was based on the theoretical formalism of the decomposition of the Mueller polarization matrix in the basis of differential matrices of the 1st and 2nd orders. The 1st order differential matrix operator characterizes the coordinate distributions of the mean values of the linear and circular birefringence and dichroism parameters. The 2nd order differential matrix operator determines the fluctuations in the parameters of the phase and amplitude anisotropy of the polycrystalline architectonics of polymeric materials. This work is aimed at generalizing the methods of laser polarimetry to the case of partially depolarizing optically anisotropic polymer layers. Mueller’s differential matrix mapping method was proposed and substantiated for reproducing the distributions of the parameters of linear and circular birefringence and dichroism of methyl acrylate layers under different temperature conditions (200 — group 1) and (450 — group 2). For an objective analysis of the obtained experimental data, we used a statistical approach, which is based on the calculation of a set of central statistical moments of the 1st–4th orders, which characterize the specifics of the coordinate distributions of differential Mueller-matrix maps of methyl acrylate layers under various temperature conditions (200 — group 1) and (450 — group 2). On this basis, the most sensitive statistical criteria for the temperature control of these samples were determined.

Keywords

• polarization
• optical anisotropy
• methyl acrylates
• temperature control