Topics On Nonlinear Wave Plasma Interaction
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Author | : BAUMGÄRTEL |
Publisher | : Birkhäuser |
Total Pages | : 215 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034870302 |
The text presented here is an extended english version of a report by the authors which appeared in April 1983 at the Institute of Cosmical Research of the Academy of Sciences of the GDR in German. It covers several selected topics on nonlinear wave-plasma interactio,ll in a treatment based on a hydrodynamic plasma description. Thus, no attempt has been made to give a comprehensive view on all aspects of the interaction of strong electromagnetic waves with plasmas. The text is partly introductory and presents partly current results. The authors hope that it will be of interest to students and scientists not only in the field of plasma physics. The authors thank Akademie-Verlag, Berlin and Birkhiiuser-Verlag, Basel for their encouragement to prepare the English manuscript and Mrs. Ch. Geier for carefully typing the final off-set version. Klaus Baumgiirtel Konrad Sauer Berlin, in April 1986 Contents Preface 5 Introduction 9 General References 13 Part I Basic equations 15 1 Hydrodynamic plasma description 15 2 Basic equations for high-frequency processes 19 3 Basic equations for low-frequency processes 25 References 28 Part n Elements of linear wave propagation 31 4 Linear wave propagation in plasmas 31 4. 1 Linear wave equation 4. 2 Penetration of a plasma by an electromagnetic wave 34 4. 3 Resonance absorption 38 References 43 5 Structure resonances 45 5. 1 Resonances at s-polarization 46 56 5. 2 Sl'l'face wave resonances 5.
Author | : K. Baumgartel |
Publisher | : |
Total Pages | : 224 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783034870313 |
Author | : Klaus Baumgärtel |
Publisher | : |
Total Pages | : 222 |
Release | : 1987 |
Genre | : Nonlinear theories |
ISBN | : 9783055000553 |
Author | : V. Tsytovich |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1468417886 |
For some time now there has been an interest in the nop. linear interaction of electromagnetic waves in plasma [1,2]. But only in the last few years has the theory of nonlinear wave inter action effects undergone such vigorous development as to result in the formulation of clear phYSical concepts regarding the mech anisms of interaction. This development has been engendered by attempts to solve many of the plasma-physical problems accom panying the tremendous growth of experimental research [3]. The importance of nonlinear effects in modern plasma physics is dis cussed in detail in Chap. I. At this point we merely stress the fact that today the analysis of nonlinear effects is a practical ne cessity in any experiment involving plasma instabilities. We should also point out that plasma instabilities can assert them selves extensively in solids (solid state plasma) and play an im portant part in the study of cosmic plasma. Consequently, the problems of nonlinear wave interaction in plasma are of concern to those working in widely different areas of physics. Yet it is difficult to assimilate the results of investigations on nonlinear effects, owing to the complicated way in which the results of orig inal research are presented. In the present book the author hopes in some measure to fill the need for a text on the physics of non linear effects that is accessible to a fairly general audience.
Author | : A. I. Akhiezer |
Publisher | : Elsevier |
Total Pages | : 433 |
Release | : 2017-03-22 |
Genre | : Science |
ISBN | : 1483152154 |
Plasma Electrodynamics, Volume 1: Linear Theory is a seven-chapter book that begins with a description of the general methods of describing plasma, particularly, kinetic and hydrodynamic methods. Chapter 2 discusses the linear theory of magneto-hydrodynamic waves. Chapter 3 describes the non-linear magneto-hydrodynamic waves, both simple waves and shock waves. Subsequent chapters explain the high-frequency oscillations in an unmagnetized plasma; oscillations of a plasma in a magnetic field; and interaction between charged particle beams and a plasma. The last chapter details the oscillations of a partially ionized plasma.
Author | : C.I. Christov |
Publisher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461200954 |
This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.
Author | : B.K Shivamoggi |
Publisher | : Springer Science & Business Media |
Total Pages | : 213 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 940092772X |
A variety of nonlinear effects occur in a plasma. First, there are the wave steepening effects which can occur in any fluid in which the propagation speed depends upon the wave-amplitude. In a dispersive medium this can lead to classes of nonlinear waves which may have stationary solutions like solitons and shocks. Because the plasma also acts like an inherently nonlinear dielectric resonant interactions among waves lead to exchange of energy among them. Further, an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. A large-amplitude Langmuir wave undergoes a modulational instability which arises through local depressions in plasma density and the corresponding increases in the energy density of the wave electric field. Whereas a field collapse occurs in two and three dimensions, in a one-dimensional case, spatially localized stationary field structures called Langmuir solitons can result. Many other plasma waves like upper-hybrid waves, lower-hybrid waves etc. can also undergo a modulational instability and produce localized field structures. A new type of nonlinear effect comes into play when an electromagnetic wave propagating through a plasma is strong enough to drive the electrons to relativistic speeds. This leads to a propagation of an electromagnetic wave in a normally overdense plasma, and the coupling of the electromagnetic wave to a Langmuir wave in the plasma. The relativistic mass variation of the electrons moving in an intense electromagnetic wave can also lead to a modulational instability of the latter.
Author | : A. G. Sitenko |
Publisher | : Elsevier |
Total Pages | : 279 |
Release | : 2016-09-20 |
Genre | : Science |
ISBN | : 1483189392 |
Fluctuations and Non-linear Wave Interactions in Plasmas talks about a theory of fluctuations in a homogenous plasma. The title takes into consideration non-linear wave interactions. The text first presents the statistical description of plasma, and then proceeds to covering non-linear electrodynamic equations. Next, the selection deals with the electrodynamic properties of magento-active plasma and waves in plasma. The text also tackles non-linear wave interactions, along with fluctuations in plasmas. The next chapter talks about the effect of non-linear wave interaction on fluctuations in a plasma. Chapter 8 details fluctuation-dissipation theorem, while Chapter 9 discusses kinetic equations. The tenth chapter covers the scattering and radiation of waves and the last chapter tackles wave interaction in semi-bounded plasma. The book will be of great use to scientists and professionals who deals with plasmas.
Author | : Sukhmander Singh |
Publisher | : BoD – Books on Demand |
Total Pages | : 146 |
Release | : 2020-11-19 |
Genre | : Science |
ISBN | : 183962678X |
This book is planned to introduce the advances topics of plasma physics for research scholars and postgraduate students. This book deals with basic concepts in plasma physics, non-equilibrium plasma modeling, space plasma applications, and plasma diagnostics. It also provides an overview of the linear and nonlinear aspects of plasma physics. Chapters cover such topics as plasma application in space propulsion, microwave–plasma interaction, plasma antennas, solitary waves, and plasma diagnostic techniques.
Author | : Mitsuo Kono |
Publisher | : Springer Science & Business Media |
Total Pages | : 540 |
Release | : 2010-10-17 |
Genre | : Science |
ISBN | : 3642146945 |
A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.