Yu A Kravtsov's Books

Geometrical Optics of Weakly Anisotropic Media

By: A A Fuki,Yu A Kravtsov,O N Naida

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Geometrical Optics of Weakly Anisotropic Media

By: A A Fuki,Yu A Kravtsov,O N Naida

This book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics, quantum physics, and ionospheric radio wave propagation to acoustics, optics, and astrophysics. This is an up-to-the-minute exposition of the latest developments in an important new area, written by authors of outstanding reputation. A rich source of both theoretical methods and practical applications, it covers a wide range of problems of general physical significance. Until recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach), thus providing a complete picture of the geometrical optics of inhomogeneous media.

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Page Count

200

Publisher

Routledge

Published Date

ISBN 10

1351445308

ISBN 13

9781351445306

Caustics, Catastrophes and Wave Fields

By: Yu.A. Kravtsov,Yu.I. Orlov

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Caustics, Catastrophes and Wave Fields

By: Yu.A. Kravtsov,Yu.I. Orlov

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.

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222

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642974910

ISBN 13

9783642974915

Turbulent Motion and the Structure of Chaos

A New Approach to the Statistical Theory of Open Systems

By: Yu.L. Klimontovich

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Turbulent Motion and the Structure of Chaos

A New Approach to the Statistical Theory of Open Systems

By: Yu.L. Klimontovich

analyzing the experimental data and constructing math.ematical models of the processes under study, one has to rely rather on the physical intuition than on the strict calculations. Now let us go one step higher and explain the main title of the book. The concepts of "laminary" and "turbulent" motions were first introduced in hydrodynamics. Since the old days these concepts have considerably broadened; now the laminar and the turbulent motions have been discovered and investigated at all levels of description of nonequilibrium processes in the open systems, from kinetics to reaction diffusion. In any case, one of the principal characteristics of the turbulent motion is the existence of a large number of well-developed macroscopic degrees of freedom. For this reason the turbulent motion is extremely complicated and to a large extent unpredictable. As the laminar and the turbulent flows play an important role in the processes of evolution in the open systems, and in particular, in the processes of self-organization, the need arises for assessing the relative degree of order of laminar and turbulent motions, and also for comparing the degree of order of various turbulent motions. Without being able to make such estimates it will be impossible to determine whether the evolution is going towards higher or towards lower organization when one turbulent state is replaced by another.

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Page Count

411

Publisher

Springer Science & Business Media

Published Date

ISBN 10

940113426X

ISBN 13

9789401134262

Nuclear Shells-50 Years

International Conference on Nuclear Physics : 49th Meeting on Nuclear Spectroscopy and Nuclear Structure, Dubna, Russia, 21-24 April 1999

By: Yu. Ts Oganessian,R. Kalpakchieva

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Nuclear Shells-50 Years

International Conference on Nuclear Physics : 49th Meeting on Nuclear Spectroscopy and Nuclear Structure, Dubna, Russia, 21-24 April 1999

By: Yu. Ts Oganessian,R. Kalpakchieva

It is known that nuclear shells play a particularly important role in the collective motion of nuclear matter and, as a consequence, determine the structure of nuclei, nuclear dynamics, nuclear decay models, etc. In 1999 the nuclear shell model turned fifty, and the 49th meeting on Nuclear Spectroscopy and Nuclear Structure was devoted to nuclear shells in their various manifestations. The talks presented at the conference covered a wide range of experimental and theoretical studies.

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580

Publisher

World Scientific

Published Date

ISBN 10

9810242344

ISBN 13

9789810242343

Fundamentals of Ocean Acoustics

By: L.M. Brekhovskikh,Yu.P. Lysanov

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Fundamentals of Ocean Acoustics

By: L.M. Brekhovskikh,Yu.P. Lysanov

This book provides an up-to-date introduction to the theory of sound propagation in the ocean. The text treats both ray and wave propagation and pays considerable attention to stochastic problems such as the scattering of sound at rough surfaces and random inhomogeneities. An introductory chapter that discusses the basic experimental data complements the following theoretical chapters. New material has been added throughout for this third edition. New topics covered include: - inter-thermocline lenses and their effect on sound fields - weakly divergent bundles of rays - ocean acoustic tomography - coupled modes - sound scattering by anisotropic volume inhomogeneities with fractal spectra - Voronovich's approach to sound scattering from the rough sea surface. In addition, the list of references has been brought up to date and the latest experimental data have been included.

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289

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387216553

ISBN 13

9780387216553

Bibliography on Chaos

By: Shu-yu Zhang

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Bibliography on Chaos

By: Shu-yu Zhang

This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers.

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536

Publisher

World Scientific

Published Date

ISBN 10

9810205813

ISBN 13

9789810205812

Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

By: Yu. G. Smirnov

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Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

By: Yu. G. Smirnov

This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.

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Page Count

127

Publisher

CRC Press

Published Date

ISBN 10

0429610564

ISBN 13

9780429610561

Critical Behavior of Non-Ideal Systems

By: Dmitry Yu. Ivanov

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Critical Behavior of Non-Ideal Systems

By: Dmitry Yu. Ivanov

This comprehensive systematic overview covers the static and dynamic critical phenomena of real, non-ideal fluids in the nearest vicinity of the critical point, offers new approaches and presents research results on the highest level. Including both theoretical and experimental researches, it also deals with the critical opalescence as phenomenon with continuously growing scattering multiplicity upon approaching the critical point.

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271

Publisher

John Wiley & Sons

Published Date

ISBN 10

352762399X

ISBN 13

9783527623990

Statistical Theory of Open Systems

Volume 1: A Unified Approach to Kinetic Description of Processes in Active Systems

By: Yu.L. Klimontovich

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Statistical Theory of Open Systems

Volume 1: A Unified Approach to Kinetic Description of Processes in Active Systems

By: Yu.L. Klimontovich

Let us begin by quoting from the Preface to the author's Statistical Physics (Moscow, Nauka 1982; also published in English by Harwood in 1986): '''My God! Yet another book on statistical physics! There's no room on my bookshelves left!' Such emotionsare quite understandable. Beforejumping to conclusions, however, it would be worthwhile to read the Introduction and look through the table of contents. Then the reader will find that this book is totally different from the existing courses, fundamental and concise. ... We do not use the conventional division into statistical theories ofequilibrium and nonequilibrium states. Rather than that, the theory ofnonequilibrium state is the basis and the backbone oftheentirecourse. ... This approach allows us to develop a unified method for statistical description ofa very broadclassofsystems. ... The author certainly does not wish to exaggerate the advantages of the book, considering it asjustthe first attemptto create a textbookofa new kind." The next step in this direction was the author's Turbulent Motion and the Structure of Chaos (Moscow, Nauka 1990; Kluwer Academic Publishers 1991). This book is subtitled A New Approach to the Statistical Theory of Open Systems. Naturally, the "new approach" is not meant to defy the consistent and efficient methods of the conventional statistical theory; itshould be regarded as auseful reinforcementofsuch methods.

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589

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Springer Science & Business Media

Published Date

ISBN 10

9401101752

ISBN 13

9789401101752

Non-conventional Construction of Concrete Dams and Rock Foundations

A critical review of patens and ligences

By: Yu A. Landau,Yu B. Mgalobelov

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Non-conventional Construction of Concrete Dams and Rock Foundations

A critical review of patens and ligences

By: Yu A. Landau,Yu B. Mgalobelov

Dealing with dam types such as gravity, counterfort and arch, this guide examines construction techniques, their development over the years, and their merits and demerits. As well as providing citations of dams, patents and codes, the text presents comparative data on world dams, updated to 1991.

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302

Publisher

CRC Press

Published Date

ISBN 10

9054102527

ISBN 13

9789054102526

Logarithmic Integral Equations in Electromagnetics

By: Yu. V. Shestopalov,Yu. G. Smirnov,E. V. Chernokozhin

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Logarithmic Integral Equations in Electromagnetics

By: Yu. V. Shestopalov,Yu. G. Smirnov,E. V. Chernokozhin

No detailed description available for "Logarithmic Integral Equations in Electromagnetics".

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132

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110942054

ISBN 13

9783110942057

Mathematical Principle and Fractal Analysis of Mesoscale Eddy

By: Shu-Tang Liu,Yu-Pin Wang,Zhi-Min Bi,Yin Wang

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Mathematical Principle and Fractal Analysis of Mesoscale Eddy

By: Shu-Tang Liu,Yu-Pin Wang,Zhi-Min Bi,Yin Wang

This book focuses on universal nonlinear dynamics model of mesoscale eddies. The results of this book are not only the direct-type applications of pure mathematical limit cycle theory and fractal theory in practice but also the classic combination of nonlinear dynamic systems in mathematics and the physical oceanography. The universal model and experimental verification not only verify the relevant results that are obtained by Euler's form but also, more importantly, are consistent with observational numerical statistics. Due to the universality of the model, the consequences of the system are richer and more complete. The comprehensive and systematic mathematical modeling of mesoscale eddies is one of the major features of the book, which is particularly suited for readers who are interested to learn fractal analysis and prediction in physical oceanography. The book benefits researchers, engineers, and graduate students in the fields of mesoscale eddies, fractal, chaos, and other applications, etc.

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258

Publisher

Springer Nature

Published Date

ISBN 10

9811618399

ISBN 13

9789811618390

High-Power Laser Radiation in Atmospheric Aerosols

Nonlinear Optics of Aerodispersed Media

By: V.E. Zuev,A.A. Zemlyanov,Yu.D. Kopytin,A.V. Kuzikovskii

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High-Power Laser Radiation in Atmospheric Aerosols

Nonlinear Optics of Aerodispersed Media

By: V.E. Zuev,A.A. Zemlyanov,Yu.D. Kopytin,A.V. Kuzikovskii

Unique properties of laser radiation including its monochromatic properties, polarization, high spectral intensity, coherence, narrow beam divergence, the possibility of controlling the pulse duration and radiation spectrum and, finally, the fact that extremely high power and energy create very favorable conditions for the extensive application of lasers to communi cation systems, systems for the lidar sensing and ultra-high-precision ranging, navigation, remote monitoring of the environment, and many other systems operating in the atmosphere. The operative efficiency of the above systems depends significantly on the state of the atmosphere and the corresponding behavior of laser radia tion propagating through it. This circumstance has stimulated the studies of the above regularities during the passt 10-15 years. For the investiga tions to be carried out the scientists were forced to develop new theories and methods for studying the problem experimentally. Moreover, during such investigations some previously unknown phenomena were observed, among them the nonlinear effects accompanying high-power laser radiation propagating through the atmosphere are of paramount importance. Among the nonlinear effects caused by high-power laser radiation inter action with the atmosphere, the effects accompanying the propagation of high-power radiation through the atmospheric aerosols are of particular interest. Aerosols always occur in the atmosphere. It should be noted that the microphysical and optical characteristics of atmospheric aerosols vary widely, this fact causes a great variety in the features of their inter action with radiation.

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303

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400952198

ISBN 13

9789400952195

Geometrical Optics of Weakly Anisotropic Media

By: AA Fuki

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Geometrical Optics of Weakly Anisotropic Media

By: AA Fuki

Until recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach). thus providing a complete picture of the geometrical optics of inhomogeneous media. The book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics. quantum physics and ionospheric radio wave propagation to acoustics, optics and astrophysics. The authors present some modifications and generalisations of QIA equations, and look at electromagnetic waves and optical and acoustic effects in weakly anisotropic media, as well as geometrical optics of 3D inhomogeneous media. The book closes with some quantum mechanical analogies. This is an up-to-the minute exposition of the latest developments in an important new area, written by authors of outstanding international reputation. A rich source of both theoretical methods and practical applications, this book covers a wide range of problems of general physical significance and will be of interest to those working in optics, acoustics, electrical engineering, radio engineering and wave propagation through plasma.

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Page Count

182

Publisher

Routledge

Published Date

ISBN 10

1351445316

ISBN 13

9781351445313

Caustics, Catastrophes and Wave Fields

By: Yu.A. Kravtsov,Yu.I. Orlov

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Caustics, Catastrophes and Wave Fields

By: Yu.A. Kravtsov,Yu.I. Orlov

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical 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.

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Page Count

229

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642598870

ISBN 13

9783642598876

Book's by Yu A Kravtsov

Geometrical Optics of Weakly Anisotropic Media

Geometrical Optics of Weakly Anisotropic Media

Caustics, Catastrophes and Wave Fields

Caustics, Catastrophes and Wave Fields

Turbulent Motion and the Structure of Chaos

Turbulent Motion and the Structure of Chaos

Nuclear Shells-50 Years

Nuclear Shells-50 Years

Fundamentals of Ocean Acoustics

Fundamentals of Ocean Acoustics

Bibliography on Chaos

Bibliography on Chaos

Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

Critical Behavior of Non-Ideal Systems

Critical Behavior of Non-Ideal Systems

Statistical Theory of Open Systems

Statistical Theory of Open Systems

Non-conventional Construction of Concrete Dams and Rock Foundations

Non-conventional Construction of Concrete Dams and Rock Foundations

Logarithmic Integral Equations in Electromagnetics

Logarithmic Integral Equations in Electromagnetics

Mathematical Principle and Fractal Analysis of Mesoscale Eddy

Mathematical Principle and Fractal Analysis of Mesoscale Eddy

High-Power Laser Radiation in Atmospheric Aerosols

High-Power Laser Radiation in Atmospheric Aerosols

Geometrical Optics of Weakly Anisotropic Media

Geometrical Optics of Weakly Anisotropic Media

Caustics, Catastrophes and Wave Fields

Caustics, Catastrophes and Wave Fields

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