  A detailed theoretical and experimental study on the effect of the
superposition of uncorrelated speckle patterns with polarization diversity on
the spatial statistics of the superposed speckle pattern is presented. It is
shown that depending on the mutual orientation of the polarization vectors of
the constituent speckle patterns, the maximum degree of coherence (DoC) and
degree of polarization (DoP) of the superposed speckle pattern changes between
a maximum and minimum value in a sinusoidal fashion. Moreover, the average
intensity ratio of the constituent speckle patterns is also found to be
affecting these variations. A study of the change in the visibility of the
two-point intensity correlation function also reveals a sinusoidal nature of
the variation and its dependence on the ratio of the average intensity, which
are found to be similar to the variations of the maximum DoC and DoP. A
detailed study on the changes in the normalized probability density function is
also performed for better understanding of the effect on the spatial
statistics.
