Tr. Watts et al., SINGLE MEASUREMENTS ON PROBABILITY DENSITY-FUNCTIONS AND THEIR USE INNON-GAUSSIAN LIGHT-SCATTERING, Journal of physics. A, mathematical and general, 29(23), 1996, pp. 7501-7517
Some properties of non-Gaussian probability density functions applicab
le to coherent light scattering experiments are investigated using ran
dom walk theory. The values taken by these functions together with the
slope of the distribution near the origin can be used to discern the
number of particles present, in particular when this number is small.
The behaviour of these functions in cases where there are fluctuations
in the number of particles present and the scattering cross sections
indicate that the conclusions drawn are generic and not sensitive to t
he details of the model. The technique may be applicable to subject ar
eas other than the scattering of coherent light.