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Mueller matrix elements error distribution for polarimetric measurements

The analysis of the experiment results of measurements of the Mueller matrices shows that the values of error of each matrix element do not equal each other and depend on the anisotropy types of studied objects. However, this fact did not receive an appropriate attention in the literature yet. At the same time, this feature can be used for polarimeter optimization in measuring of objects with specific polarization behavior (linear amplitude or phase anisotropy). For the estimation of the Mueller matrix measurement error is usually used the total error, that is a square root of sum of squares of all matrix element error). As analysis have shown this is not always justified. The goal of this work is to analyze error distribution over experimental Mueller matrix elements for the serial probing polarimeter in its four input polarization mode. The analysis is carried out for the three cases: (1) uniformly precise Stokes measurements, (2) uniformly precise Fourier measurements, (3) non-uniformly precise Fourier measurements. These results disclose new aspects of the Mueller matrix measurement tools optimization and the Mueller matrix measurement strategies.