Optical methods are known to provide some of the most important information obtained in studying the surrounding world. The amplitude, phase, polarization, spectral, angular, and correlation characteristics of optical fields may carry vital information on objects of interest. Modern fast-acting optical processing systems are capable of collecting information on diagnostically important parameters with high efficiency. This is achieved primarily by parallel processing large amounts of data and by taking advantage of analog optical computing devices. The problem of metrology of random optical fields, such as speckle fields resulting from the interaction of laser beams with a random phase object, has a significant place in optical diagnostics and optical recognition studies. These problems range from astronomy to industrial quality control. In the present monograph, consideration is given to interference, polarization interference, and holographic correlometry of amplitude and phase parameters of random optical fields for the purpose of subsequent diagnostics of the appropriate objects and media. An attempt is made to show the possibilities for diagnostics of light-scattering objects and media provided by utilization of the properties of coherent optical radiation. The diagnostics of rough surfaces, being of great importance for many branches of industry, is particularly emphasized throughout the monograph. An important feature of this monograph is the adaptation of the ideas formulated in classic work on statistical radiophysics and optics to diagnostic applications. At the same time, the proposed diagnostic techniques are aimed at obtaining the maximum information on objects, such as the roughness height (or phase increment) distribution functions for random phase objects, size distribution functions for dispersive systems, or root-mean-square velocity distribution functions for Brownian particles. Some of the diagnostic methods considered are unconventional. The proposed group of unique techniques for interference measurement of statistical moments of the field amplitude and phase up to the third and fourth orders constitutes a particular class of statistical methods for interference correlometry of optical fields. Most of the methods discussed result from physical modeling. We are grateful to our teacher, Dr. Vyacheslav K. Polyanskii, for his continuing interest in our work, for attentive reading of the manuscript, and for fruitful discussions. We are also grateful to Mrs. Rita P. Tsmyn, Mr. Vadim J. Kinzersky, Mr. Alexander V. Kovalchuk, and Mr. Vasyl V. Ryukhtin for technical help in preparing this monograph. We express thanks to Professor J. Bennett for her attention to this monograph and her efforts to improve the new version. Additionally, we must emphasize that this monograph could not have appeared without the high-quality translation performed by Dr. Peter V. Polyanskii.
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