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Author: Sergei M. Rytov
Publisher: Springer
ISBN: 9783642692031
Category : Science
Languages : en
Pages : 0
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Book Description
Principles of Statistical Radiophysics is concerned with the theory of random functions (processes and fields) treated in close association with a number of ap plications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., viewed as a general theory of oscillations and waves of any physical l nature . This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radiophysics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random func tions. The book provides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.
Author: Sergei M. Rytov
Publisher: Springer
ISBN: 9783642692031
Category : Science
Languages : en
Pages : 0
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Book Description
Principles of Statistical Radiophysics is concerned with the theory of random functions (processes and fields) treated in close association with a number of ap plications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., viewed as a general theory of oscillations and waves of any physical l nature . This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radiophysics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random func tions. The book provides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.
Author: Sergei M. Rytov
Publisher: Springer
ISBN: 9783540125624
Category : Science
Languages : en
Pages : 253
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Book Description
Principles of Statistical Radiophysics is concerned with the theory of random functions (processes and fields) treated in close association with a number of ap plications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., viewed as a general theory of oscillations and waves of any physical l nature . This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radiophysics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random func tions. The book provides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.
Author: Sergei M. Rytov
Publisher: Springer
ISBN: 9783642692017
Category : Science
Languages : en
Pages : 0
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Book Description
Principles of Statistical Radiophysics is concerned with the theory of random functions (processes and fields) treated in close association with a number of ap plications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., viewed as a general theory of oscillations and waves of any physical l nature . This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radiophysics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random func tions. The book provides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.
Author: Valery I. Klyatskin
Publisher: Elsevier
ISBN: 0080457649
Category : Science
Languages : en
Pages : 557
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Book Description
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere. Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields. The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data. This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes. Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools. Part II and III sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples. Part IV takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering), wave propagation in disordered 2D and 3D media. For the sake of reader I provide several appendixes (Part V) that give many technical mathematical details needed in the book. - For scientists dealing with stochastic dynamic systems in different areas, such as hydrodynamics, acoustics, radio wave physics, theoretical and mathematical physics, and applied mathematics - The theory of stochastic in terms of the functional analysis - Referencing those papers, which are used or discussed in this book and also recent review papers with extensive bibliography on the subject
Author: Domenico Solimini
Publisher: Springer
ISBN: 3319256335
Category : Science
Languages : en
Pages : 728
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Book Description
This volume addresses the physical foundation of remote sensing. The basic grounds are presented in close association with the kinds of environmental targets to monitor and with the observing techniques. The book aims at plugging the quite large gap between the thorough and quantitative description of electromagnetic waves interacting with the Earth's environment and the user applications of Earth observation. It is intended for scientifically literate students and professionals who plan to gain a first understanding of remote sensing data and of their information content.
Author: L. A. Apresyan
Publisher: Routledge
ISBN: 1351420089
Category : Technology & Engineering
Languages : en
Pages : 272
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Book Description
The authors expound on non-traditional phenomena for transfer theory, which are nevertheless of considerable interest in wave measurements, and bring the advances of transfer theory as close as possible to the practical needs of those working in all areas of wave physics. The book opens with a historical overview of the topic, then moves on to examine the phenomenological theory of radiative transport, blending traditional theory with original ideas. The transport equation is derived from first principles, and the ensuing discussion of the diffraction content of the transport equation and non-classical radiometry is illustrated by practical examples from various fields of physics. Popular techniques of solving the transport equation are discussed, paying particular attention to wave physics and computing the coherence function. The book also examines various problems which are no longer covered by the traditional radiative transfer theory, such as enhanced backscattering and weak localization phenomena, nonlinear transport problems and kinetic equations for waves. This monograph bridges the gap between the simple power balance description in radiative transfer theory and modern coherence theory. It will be of interest to researchers and professionals working across a wide range of fields from optics, acoustics and radar theory to astrophysics, radioastronomy and remote sensing, as well as to students in these areas.
Author: Valery I. Klyatskin
Publisher: Elsevier
ISBN: 0123849675
Category : Science
Languages : en
Pages : 411
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Book Description
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data. This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena. - A comprehensive update of Dynamics of Stochastic Systems - Develops mathematical tools of stochastic analysis and applies them to a wide range of physical models of particles, fluids and waves - Includes problems for the reader to solve
Author: Gabor Korvin
Publisher: Springer Nature
ISBN: 3031467000
Category :
Languages : en
Pages : 541
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Book Description
Author: Hans Wackernagel
Publisher: Springer Science & Business Media
ISBN: 3662052946
Category : Science
Languages : en
Pages : 388
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Book Description
This fully revised third edition introduces geostatistics by emphasising the multivariate aspects for scientists, engineers and statisticians. Geostatistics offers a variety of models, methods and techniques for the analysis, estimation and display of multivariate data distributed in space or time. The text contains a brief review of statistical concepts, a detailed introduction to linear geostatistics, and an account of 3 basic methods of multivariate analysis. Applications from different areas of science, as well as exercises with solutions, are provided to help convey the general ideas. The introductory chapter has been divided into two separate sections for clarity. The final section deals with non-stationary geostatistics.
Author: Valeriĭ Vladimirovich Buldygin
Publisher: American Mathematical Soc.
ISBN: 9780821897911
Category : Mathematics
Languages : en
Pages : 276
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Book Description
The topic covered in this book is the study of metric and other close characteristics of different spaces and classes of random variables and the application of the entropy method to the investigation of properties of stochastic processes whose values, or increments, belong to given spaces. The following processes appear in detail: pre-Gaussian processes, shot noise processes representable as integrals over processes with independent increments, quadratically Gaussian processes, and, in particular, correlogram-type estimates of the correlation function of a stationary Gaussian process, jointly strictly sub-Gaussian processes, etc. The book consists of eight chapters divided into four parts: The first part deals with classes of random variables and their metric characteristics. The second part presents properties of stochastic processes "imbedded" into a space of random variables discussed in the first part. The third part considers applications of the general theory. The fourth part outlines the necessary auxiliary material. Problems and solutions presented show the intrinsic relation existing between probability methods, analytic methods, and functional methods in the theory of stochastic processes. The concluding sections, "Comments" and "References", gives references to the literature used by the authors in writing the book.
