Statistics of narrow-band partially polarized light
Mikhail Charnotskii

TL;DR
This paper develops a comprehensive statistical description of narrow-band partially polarized light using the 2-D PA-PDF, providing more detailed information than traditional methods and applicable via coherent detection.
Contribution
It introduces the PA-PDF as a new statistical tool that captures more information about partially polarized light than the Stokes vector.
Findings
PA-PDF depends on 13 parameters for Gaussian fields
PA-PDF offers more detailed polarization information
Method applicable with heterodyne detection
Abstract
A complete single-point statistical description of a narrow-band partially polarized optical field is developed in terms of the 2-D Period-Averaged Probability Density Function (PA-PDF) of the electrical field vector. This statistic can be measured using the coherent (heterodyne) detection. PA-PDF carries more information about the partially-polarized light than the traditional Stokes vector. For a simple Gaussian partially polarized field the PA-PDF depends on 13 real parameters in contrast to the four parameters of the Stokes vector or coherence tensor
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