Simulation of the light signal scattered by brownian colloidal particles

In dynamic light scattering experiments, the light intensity scattered by brownian colloidal particles is regarded as a stationary stochastic process. According to the theory of stationary stochastic process, a method for generating the light scattering signal is proposed. This method establishes an auto-regressive (AR) model by the autocorrelation function (ACF) of scattered light signal. When white noises pass this AR model, scattering light signal can be obtained. The numerical results show the ACF of simulated signal performs a good agreement with its theory value. Therefore, this method is feasible for the simulation the light signal scattered by brownian colloidal particles. In addition, by analyzing influence of simulation parameters on simulation precision, the paper acquires the relationship of simulation parameters and simulation precision.