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The Frequency of Nonlinear Plasma Oscillations

The Frequency of Nonlinear Plasma Oscillations PDF Author: H. Derfler
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 28

Book Description
The frequency of plane standing waves of electrons moving through a background of infinitely heavy ions is strictly independent of amplitue as long as the electron velocity is a unique function of position. This result is contrary to those presented in recent publications by S. Amer, J. Electronics and Control, 5:105-13, 158 and L. Gold, J. Electronics and Control, 6:548-549, 1959. The frequencies of spherical and cylindicl plsma oscillations, however, do depend upon the amplitude of the oscillation. AsA RESULT, ANY PHASE RELATIONSHIP BETWEEN ELECTRONS EVENTUALLY WILL BE DESTROYED AND THE ELECTRON VELOCIY BECOMES MULTIVALUED. Therefore steady free oscillations do not persist even in a cold plasma. (Author).

The Frequency of Nonlinear Plasma Oscillations

The Frequency of Nonlinear Plasma Oscillations PDF Author: H. Derfler
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 28

Book Description
The frequency of plane standing waves of electrons moving through a background of infinitely heavy ions is strictly independent of amplitue as long as the electron velocity is a unique function of position. This result is contrary to those presented in recent publications by S. Amer, J. Electronics and Control, 5:105-13, 158 and L. Gold, J. Electronics and Control, 6:548-549, 1959. The frequencies of spherical and cylindicl plsma oscillations, however, do depend upon the amplitude of the oscillation. AsA RESULT, ANY PHASE RELATIONSHIP BETWEEN ELECTRONS EVENTUALLY WILL BE DESTROYED AND THE ELECTRON VELOCIY BECOMES MULTIVALUED. Therefore steady free oscillations do not persist even in a cold plasma. (Author).

Nonlinear Plasma Oscillations

Nonlinear Plasma Oscillations PDF Author: Henry William Wyld
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 108

Book Description


Nonlinear Oscillations of a Maxwellian Plasma

Nonlinear Oscillations of a Maxwellian Plasma PDF Author: Hari K. Sen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 18

Book Description
Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author).

Numerical Hydrodynamic Modeling of Non-Linear Plasma Oscillations in the Conduction Channels of FETs and Application to Non-Linear Transformation of Harmonic Signals

Numerical Hydrodynamic Modeling of Non-Linear Plasma Oscillations in the Conduction Channels of FETs and Application to Non-Linear Transformation of Harmonic Signals PDF Author: S. Rudin
Publisher:
ISBN:
Category :
Languages : en
Pages : 3

Book Description
We find that the nonlinear wave propagation leads to the interesting nonlinear response in the terminal current even though the applied signal is of much lower frequency then the fundamental plasma frequency. Simllar response is found when the frequencies of applied signals are equal but their amplitudes are different or if there is a phase shift between applied signals. This may allow for the expenmental demonstration of the nonlinear plasma response and some novel device applications.

Exact Non-linear Plasma Oscillations

Exact Non-linear Plasma Oscillations PDF Author: Ira B. Bernstein
Publisher:
ISBN:
Category : Oscillations
Languages : en
Pages : 28

Book Description


Non-Linear Theory and Fluctuations

Non-Linear Theory and Fluctuations PDF Author: A. I. Akhiezer
Publisher: Elsevier
ISBN: 1483148076
Category : Science
Languages : en
Pages : 320

Book Description
Plasma Electrodynamics, Volume 2: Non-Linear Theory and Fluctuations deals with the theory of nonlinear waves in a collisionless plasma, including the quasilinear theory, the theory of plasma turbulence, and the theory of electromagnetic fluctuations in a plasma. Topics covered range from nonlinear high-frequency waves in a cold plasma to the theory of plasma oscillations in the quasilinear approximation. Nonlinear wave-particle interactions are also discussed, along with scattering and transformation of waves in a plasma. Comprised of six chapters, this volume begins with a study of nonlinear waves in a collisionless plasma, focusing on nonlinear high-frequency waves in a cold plasma; Langmuir waves in a non-relativistic plasma; and longitudinal, transverse, and coupled longitudinal-transverse waves in a relativistic plasma. After expounding on the quasilinear theory, which describes the effects of the first approximation in terms of the plasma wave energy, the nonlinear interaction of waves and particles is considered. The last three chapters explore the theory of electromagnetic fluctuations in a plasma; the theory of scattering processes and the transformation of waves in a plasma; and the scattering of charged particles in a plasma. The polarization energy losses when charged particles move in a plasma are calculated. This book will be of interest to physicists.

Methods in Nonlinear Plasma Theory

Methods in Nonlinear Plasma Theory PDF Author: Ronald Davidson
Publisher: Elsevier
ISBN: 0323153380
Category : Science
Languages : en
Pages : 377

Book Description
Methods in Nonlinear Plasma Theory is from lectures given in graduate classes in both University of Maryland and University of California at Berkeley. To be able to understand fully the contents in this book, the reader is assumed to be a graduate student with background of classical physics and linear plasma waves and instabilities. This text is divided into two major parts. Part I deals with the coherent nonlinear phenomena, while Part II discusses the turbulent nonlinear phenomena. Six chapters comprise Part I, where basic equations and methods are described and discussed. Some of these methods are Vlasov-Maxwell equations and Korteweg-de Vries equation. Part II meanwhile has eight chapters that discuss frameworks and theories for weak plasma turbulence. Specifically, the weak turbulence theory is presented as it is applied to electromagnetic wave-particle interactions, nonlinear wave-wave interactions, and nonlinear wave-particle interactions. This book is a useful reference for students and researchers in the study of classical physics and plasma theory.

Lectures on Non-linear Plasma Kinetics

Lectures on Non-linear Plasma Kinetics PDF Author: Vadim N. Tsytovich
Publisher: Springer Science & Business Media
ISBN: 3642789021
Category : Science
Languages : en
Pages : 381

Book Description
Lectures on Non-linear Plasma Kinetics is an introduction to modern non-linear plasma physics showing how many of the techniques of modern non-linear physics find applications in plasma physics and how, in turn, the results of this research find applications in astrophysics. Emphasis is given to explaining the physics of nonlinear processes and the radical change of cross-sections by collective effects. The author discusses new nonlinear phenomena involving the excitation of coherent nonlinear structures and the dynamics of their random motions in relation to new self-organization processes. He also gives a detailed description of applications of the general theory to various research fields, including the interaction of powerful radiation with matter, controlled thermonuclear research, etc.

Plasma Waves, 2nd Edition

Plasma Waves, 2nd Edition PDF Author: Donald Gary Swanson
Publisher: CRC Press
ISBN: 9780750309271
Category : Science
Languages : en
Pages : 960

Book Description
Extended and revised, Plasma Waves, 2nd Edition provides essential information on basic formulas and categorizes the various possible types of waves and their interactions. The book includes modern and complete treatments of electron cyclotron emission, collisions, relativistic effects, Landau damping, quasilinear and nonlinear wave theory, and tunneling equations. The broad scope encompasses waves in cold, warm, and hot plasmas and relativistic plasma waves. Special chapters deal with the effects of boundaries, inhomogeneities, and nonlinear effects. The author derives all formulae and describes several fundamental wave experiments, allowing for a greater appreciation of the subject.

Nonlinear Effects in Plasma

Nonlinear Effects in Plasma PDF Author: V. Tsytovich
Publisher: Springer Science & Business Media
ISBN: 1468417886
Category : Science
Languages : en
Pages : 344

Book Description
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.