Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry |
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Authors: | S N Savenkov A S Klimov and E A Oberemok |
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Institution: | 1.Taras Shevchenko Kiev National University,Kiev,Ukraine |
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Abstract: | We present an analysis of the errors in measurement of the Mueller matrix elements in polarimeters that are a combination
of different types of Stokes polarimeters in the detection channel and controllable polarization converters in the probing
channel. As polarization converters for the probing radiation, we consider a phase plate having four different angular positions
in measuring the complete Mueller matrix and a linear polarizer having different angular positions in measuring the structural
parts of an incomplete 4 × 3 Mueller matrix. We have shown that the error in determining the Mueller matrix elements is distributed
nonuniformly over the matrix. The nature of the error distribution over the elements and its values are different for different
combinations of detection and probing channels of the polarimeter, and depend on the anisotropy of the test object. The latter
dictates the choice of the optimal layout for a Mueller polarimeter for studying media with the same or different types of
anisotropy and the choice of Mueller matrix elements used to solve the inverse problem of determining the anisotropy parameters. |
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