Optical Correlation Diagnostics of Rough Surfaces. Statistical and Fractal Approach

摘要

PART 1. NEW FEASIBILITIES FOR CHARACTERIZING ROUGH SURFACES BY OPTICAL CORRELATION TECHNIQUES: New feasibilities are considered for optical correlation diagnostics of rough surfaces with different distributions of irregularities. The influence of deviations of the height surface roughness distribution from a Gaussian probability distribution on the accuracy of optical analysis is discussed. The possibilities for optical diagnostics of fractal surface structures are shown and the set of statistical and dimensional parameters of the scattered fields for surface roughness diagnostics is determined. Fast operating measuring devices for roughness control are proposed. PART 2. ON APPLICABILITY OF THE SINGULAR OPTICS CONCEPT FOR DIAGNOSTICS OF RANDOM AND FRACTAL ROUGH SURFACES: We introduce the singular optics approach for classification of rough surfaces with large-scale inhomogeneities into random and fractal ones. The maps of amplitude zeroes of a field vs the parameters of the rough surfaces and the position of the observation zone are obtained and analyzed. It is shown that the local density of amplitude zeroes in the scattered field may be consider as an appropriate parameter to classify the surface of interest into a surface with a height distribution that can be described as a random or a fractal process.