Elements of random fields
Author(s)
Bibliographic Information
Elements of random fields
（Principles of statistical radiophysics / S.M. Rytov, Yu.A. Kravtsov, V.I. Tatarskii, 3）
Springer-Verlag, c1989
- : us
- : gw
- : softcover
- Other Title
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Vvedenie v statisticheskuyu radiofiziku II, sluchainuie polya, 2. revised and enlarged edition
Available at 15 libraries
Note
Translation of: Vvedenie v statisticheskui︠u︡ radiofiziku II, sluchainuie polya, 2. revised and enlarged edition
Includes bibliographical references (p. [233]-236) and index
Description and Table of Contents
- Volume
-
: gw ISBN 9783540178293
Description
"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.
- Volume
-
: softcover ISBN 9783642726873
Description
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.
Table of Contents
1. Fundamentals.- 1.1 Basic Definitions.- 1.2 Spatial Covariances of Complex Random Fields.- 1.3 Spatial Spectral Representations of Homogeneous Random Fields.- 1.4 Locally Homogeneous Random Fields.- 1.5 Quasi-Homogeneous Fields.- 1.6 Space-Time Spectral Representations of Random Fields.- 1.7 Functional Treatment of Random Fields.- 1.8 Exercises.- 2. Radiation and Diffraction of Random Wave Fields.- 2.1 Basic Types of Statistical Wave Problems.- 2.2 Random Waves in an Unbounded Homogeneous Medium.- 2.3 Diffraction of Plane Wave on an Infinite Chaotic Screen.- 2.4 Random Field Diffraction in Simple Optical Systems.- 2.5 Excitation of Fields by Random Sources.- 2.6 Exercises.- 3. Thermal Electromagnetic Fields.- 3.1 Preliminary Remarks.- 3.2 Stochastic Maxwell Equations.- 3.3 Equilibrium Thermal Fluctuations in Continuous Dissipative Systems.- 3.4 Correlation of External Thermal Sources in Electrodynamics.- 3.5 Generalized Kirchhoff's Law.- 3.6 Examples of the Use of the Generalized Kirchhoff's Law.- 3.7 Waveguide Form of Kirchhoff's Law.- 3.8 Thermal Radiation and Antennas.- 3.9 Equilibrium Thermal Fields. Equilibrium Form of the FDT.- 3.10 Thermal Fields in Gyrotropic Bodies.- 3.11 Thermal Fields in Media with Spatial Dispersion.- 3.12 Exercises.- 4. Single Scattering Theory.- 4.1 Method of Small Perturbations.- 4.2 Mean Intensity of Scattered Fields.- 4.3 Effective Scattering Cross-Section. Applicability of Single Scattering Approximation.- 4.4 Spatial Correlation and Probability Distributions of Scattered Fields.- 4.5 Scattering by Nonstationary Inhomogeneities.- 4.6 Scattering of Pulsed and Modulated Signals.- 4.7 Scattering of Electromagnetic Waves.- 4.8 Discrete Scatterers.- 4.9 Exercises.- References.
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