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Statistics of polarization speckle produced by a constant polarization phasor plus a random polarization phasor sum

Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN: 1520-8532, Vol: 37, Issue: 12, Page: 1888-1894
2020
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Article Description

The statistical properties of the polarization speckle produced by a random polarization phasor sum plus a constant polarization phasor are studied. Based on the Gaussian assumption for the random electric field, the three-dimensional joint probability density functions of the Stokes parameters and the parameters characterizing the polarization ellipse for the produced random polarization fields are obtained. Subsequently, the statistics of an isotropic polarization speckle with a coherent polarization background have been investigated. The joint and marginal probability densities of these random variables are given to study the effect of the constant polarization background on the statistics of random polarization fields.

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