3D Polarization Algorithms for Processing Digital Microscopic Images of Polygraphic Polymers

Abstract

Our scientific article presents the materials of analytical substantiation and experimental testing of a new polarimetric method of azimuthally invariant 3D Mueller matrix mapping of distributions of phase and amplitude anisotropy parameters of partially depolarizing layers of high-quality (group 1 — high density) and low-quality (group 2 — low density) polyethylene polymer films. The idea of the method is to synthesize three independent optical techniques — polarimetry, interferometry and digital holographic reconstruction of the fields of complex amplitudes of object laser radiation. This approach provides, using discrete phase scanning, the reconstruction (restoration) of layer-by-layer coordinate distributions of random values of the set of invariants of the Mueller matrix (MMI) of polymer films of both types in the volume of polymer samples. Mueller-matrix invariants are functionals that do not depend on the rotation of an optically anisotropic sample of the polymer layer relative to the direction of the probing laser beam. As a result, it becomes possible to carry out serial measurements of a large number of production samples. To obtain objective criteria for evaluating the polycrystalline architectonics of polymer samples, we used an analytical approach, which is based on the calculation of a set of statistical moments of the 1st–4th orders, which characterize the statistics of maps of experimentally obtained Mueller-matrix invariants. Within the limits of representative samples of samples, we obtained the average values of all central statistical moments of Mueller-matrix invariants. Based on this, the parameters most sensitive to changes in polycrystalline architectonics are determined — the asymmetry and kurtosis of the coordinate distributions of matrix invariants.

Keywords

• polarization
• 3D Mueller matrix mapping
• organic polimers
• comlex amplitude