Simulation of continuous sample paths of random fields using trigonometric series

The problem of simulating random fields on a digital computer using random trigonometric series is considered. Convergence in distribution of the sample paths as continuous functions is demonstrated when the structure function is bounded by. Methods for simulating homogeneous and homogeneous increment random fields are presented. As an example, random index of refraction fluctuations are simulated using both a fractal model and a homogeneous random field model.