The Theory and Construction of Multivariate Gaussian Surfaces.
NAVAL RESEARCH LAB WASHINGTON D C
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A procedure has been developed for the construction of random rough surfaces with statistics which approximate the ideal of multivariate Gaussian statistics with a prescribed spectrum. Estimates of the deviation of the sample surfaces from the ideal ensemble statistics are made. The procedure uses a fast-Fourier-transform algorithm to produce a numerical surface which is then used to construct a physical realization of the surface via a numerically controlled milling machine. The resulting surface is one which can be used in scattering experiments, and the degree of conformity of its statistics to those of the ideal is well understood. The use of these surfaces will eliminate a major source of uncertainty in the interpretation of controlled experiments. Author
- Statistics and Probability