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Symmetry relations in diffusely backscattered polarization patterns of turbid media: a revisit

As there exists an inconsistency in explaining the symmetrical relations in the 16 Mueller matrix elements used to describe a turbid medium, we restudy the symmetrical relationships between the diffusely backscattered polarization patterns in isotropic turbid media and simulate all two-dimensional elements of diffusely backscattered Muller matrix in both cases of Rayleigh and Mie scatterings using the double-scattering approximation and the Monte Carlo algorithm, respectively. The previous experimental observations are compared with the numerically determined matrix elements, showing a good agreement in both double-scattering model and Monte Carlo simulation.