Visualizing probability density distribution of polarization speckle with electron cloud diagrams

In this paper, a three-dimensional representation of the probability density distribution of the Stokes parameters in polarization speckle was developed. Following the electron cloud model used widely to visualize the hydrogen atomic orbitals, we present the density of the dots sculptured in the Hilbert space shows the probability density of finding the Stokes parameters in polarization speckle. Advantages of the electron cloud presentation for the statistics of the Stokes parameters are also discussed.