Principles of Statistical Radiophysics is a four-volume series that introduces the newcomer to the theory of random functions. It aims at providing the background necessary to understand papers and monographs on the subject and to carry out independent research in the fields where fluctuations are of importance, e.g. radiophysics, optics, astronomy, and acoustics. Volume 3, Elements of Random Fields, gives the basic mathematical definitions, general properties and specific forms of random fields, the generalization from correlation theory to random fields. It deals with stochastic partial differential equations, wave scattering at a chaotic screen, single scattering in random media and thermal fluctuations and radiation of electromagnetic fields.

Principles of Statistical Radiophysics 3

Science & Math

Yury Alexandrovich Kravtsov

V.I. Tatarskiĭ

Sergei M. Rytov

Physics

Springer, Verlag

Principles of Statistical Radiophysics 4: Wave Propagation Through Random Media

Yurii A. Kravtsov Valeryan I. Tatarskii Sergei M. Rytov

Valeryan I. Tatarskii

Mathematics

Springer

This monograph is concerned with the fundamentals of up-to-date geo metrical optics treated as an approximate method of wave theory. Geometrical optics has changed dramatically over the last two decades. Primarily, it has acquired a number of novel disciplines: space-time geo metrical optics, the quasi-isotropic approximation, the modern theory of caustics related to catastrophe theory, and perturbation techniques for rays, to name only a few. Another acquisition is the reliable boundaries of appli cability for geometrical optics, based upon the concept of the Fresnel volume for a ray. These recent additions to the field are the focus of dis cussion in the book. We did not attempt to separate study-oriented and illustrative material from that intended for professionals, but rather we spread it throughout the text to facilitate for the reader the mastering of this attractive, intuitively appealing and efficient ray method. In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus sian. Sections 2.1-4,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects. 2.5,9 and 3.17 and Chap.4; Yu.l. Orlov prepared the rest. Unfortunately, he could not take part in the preparation of the English edition, as he died in 1982 at the age of 41, on the verge of what would have been great achieve ments considering his strong and original talent.

Geometrical Optics of Inhomogeneous Media (Springer Series on Wave Phenomena)

Astronomy & Space Science

One of the driving forces behind much of modern science and technology is   the desire to foresee and thereby control the future. In recent years,      however, it has become clear that, even in a deterministic world, there is alimit to the accuracy with which we can predict the future. This            book details, in a largely nontechnical style, the extent to which we   can predict the future development of various physical, biological and      socio-economic processes.

Limits of Predictability (Springer Series in Synergetics)

Business & Money

<p>Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" by analysing caustics and their fields on the basis of modern catastrophe theory. The present volume covers local and uniform caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of canonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.</p>

Caustics, Catastrophes and Wave Fields (Springer Series on Wave Phenomena)

Yury I. Orlov

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Books by Yury Alexandrovich Kravtsov