In order to study the optical effects of turbulent intermittency, a simplified non-Gaussian random field model has been constructed, which can model atmospheric dielectric permittivity(or refractive-index) fluctuation approximately. Four arbitrary functions enter into the characteristic functional of this model. Using the properties of the atmospheric turbulence, such as the statistical homogeneity, the single-point probability distribution and the spectrum of the refractive-index fluctuations, these functions can be selected or determined. With these given functions, we have studied the statistical properties, especially the mean field adn the mutual coherence function, of a plane partially coherent incident wave. A simple example of numerical simulation has also been presented.