Differential 3D Mueller-matrix mapping of optically anisotropic depolarizing biological layers

Abstract

The paper consists of two parts. The first part is devoted to the short theoretical basics of the method of differential Mueller-matrix description of properties of partially depolarizing layers. It was provided the experimentally measured maps of differential matrix of the 2nd order of polycrystalline structure of the histological section of rectum wall tissue. It was defined the values of statistical moments of the1st-4th orders, which characterize the distribution of matrix elements. In the second part of the paper it was provided the data of statistic analysis of birefringence and dichroism of the histological sections of connecting component of vagina wall tissue (normal and with prolapse). It were defined the objective criteria of differential diagnostics of pathologies of vagina wall.

3D Mueller-Matrix Diffusive Tomography of Polycrystalline Blood Films for Cancer Diagnosis

“…Photonics 2018, 5, 54 6 of 15 Figure 1 shows the optical setup for 3D Mueller-matrix polarimetry of biological layers [35][36][37][38]. The "reference" beam has been passed through the polarization filters 11-13 using mirror five.…”

“…The use of a coherent reference wave and the algorithm for digital holographic reconstruction of the complex amplitudes field in different sections of the blood film [37,38].…”

“…Let us consider the algorithms for determining the depolarization component Ψ(r) . It was shown in References [37,38] that these components are determined (Equations (6) and (7)) by the matrix operator of the next symmetry:…”

“…Here J ik = lnM ik . Thus, the set of diffuse tomograms DT red of the depolarizing biological layer can be experimentally determined using the following algorithm Figure 1 shows the optical setup for 3D Mueller-matrix polarimetry of biological layers [35][36][37][38]. The parallel (O = 2 × 10 3 µm) laser beam (He-Ne laser 1, λ = 0.6328 µm) has been formed using collimator two.…”