Simulation of vector semi-binary homogeneous random fields and modeling of broken clouds

A vector-valued homogeneous random field will be called semi-binary if its single-point marginal distribution is a mixture of a singular distribution and a continuous one. In this paper, we present methods of numerical simulation of semi-binary fields on the basis of the correlation structure and the marginal distribution. As an example, we construct a combined model of cloud top height and optical thickness using satellite observations results.