Simulation of dynamic light scattering signal for ultrafine particles based on the exponential model

According to the autocorrelation function (ACF) of dynamic light scattering (DLS) signals, the exponential model used for scattering signal simulation can be established. Based on this model, nine kinds of DLS signals for unimodal, bimodal and trimodal distribution particles are simulated respectively. The ACF of the simulated signal agrees with its theoretical value very well. Inverted size errors of simulative signals for unimodal distribution particles by Cumulants method and those for bimodal and trimodal distribution particles by nonnegative constraint least squares (NNLS) are less than 0.13%, 2.11% and 3.01%, respectively. Comparing the exponential model with autoregressive (AR) model, the calculation time of the former is less than one tenth of the latter. Hence, the exponential model is more effective in the simulation of DLS signals.