Collective Oscillations in a Plasma

Foreword

Chapter I. Spectra of Eigen Oscillations of a Free Plasma


1. Kinetic Equations


1. Self-Consistent Fields


2. Binary Collisions


2. Electron Oscillations


1. Development of Initial Perturbation


2. Frequency and Damping of Langmuir Oscillations


3. Dielectric Permittivity Tensor of a Plasma


1. Dispersion Equations for Longitudinal and Transverse Oscillations


2. Low-Frequency Longitudinal Oscillations of a Non-isothermal Plasma

Chapter II. Spectra of Plasma Oscillations in a Magnetic Field


4. Dielectric Permittivity Tensor of a Plasma in a Magnetic Field


1. Components of Dielectric Permittivity Tensor


2. Dielectric Permittivity Tensor of a Cold Plasma


5. Longitudinal Oscillations of a Plasma in a Magnetic Field


1. Frequencies of Plasma Resonances


2. Effect of Thermal Motion of Electrons on High-Frequency Resonances


3. Effect of Thermal Motion of Particles on Low-Frequency Resonances


6. Cyclotron and Cherenkov Damping of Electron Oscillations


1. Cyclotron Damping at Electron Gyro-Resonance


2. Cyclotron Damping at Multiple Electron Gyro-Resonance


3. Cyclotron Damping at Double Resonance


4. Cherenkov Damping of Low-Frequency Electron Oscillations


7. Ion-Cyclotron and Magnetohydrodynamic Waves


1. Low-Frequency Oscillations of a Plasma at Low Pressure


2. Cherenkov Damping of Low-Frequency Oscillations


3. Cyclotron Damping of Low-Frequency Oscillations


4. Cyclotron Damping at Multiple Ion Gyro-Resonance


8. Low-Frequency Oscillations of a Non-isothermal Plasma in a Magnetic Field


1. Longitudinal Oscillations of a Non-isothermal Plasma at Low Pressure


2. Magnetosonic Waves in a Non-isothermal Plasma


9. Excitation of Oscillations in a Plasma by External Currents


1. Excitation Intensity


2. Excitation of Oscillations by Modulated Azimuthal Currents


3. Excitation of Oscillations by Modulated Axial Currents

Chapter III. Stable and Unstable Particle Distributions in a Plasma


10. Interaction of a Flux of Charged Particles with Oscillations of a Free Plasma


1. Dispersion Equations for a Plasma-Beam System


2. Growing Langmuir and Low-Frequency Oscillations


3. Excitation of Longitudinal Oscillations by a Cold Beam


4. Instability of a Plasma whose Electrons are Moving Relative to the Ions


11. Interaction of a Flux of Charged Particles with Oscillations of a Plasma in a Magnetic Field


1. Excitation of Longitudinal Oscillations of a Plasma in a Magnetic Field by a Beam of Electrons


2. Excitation of Low-Frequency Electron Oscillations in a Plasma by a Beam of Electrons


3. Cyclotron Excitation of Ion-Cyclotron and Magnetohydrodynamic Waves in a Cold Plasma by a Beam of Particles


4. Cherenkov Excitation of Magnetosonic Waves in a Hot Plasma by a Beam of Particles


12. General Stability and Instability Conditions for Particle Distributions in a Plasma


1. Stability and Instability Criteria for Particle Distributions in a Free Plasma


2. Two-Beam Instability


3. Stability and Instability Criteria for Electron Distributions of a Plasma in a Magnetic Field


13. Absolute and Convective Instabilities; Amplification and Blocking of Oscillations


1. Criteria of Absolute and Convective Instabilities


2. Criteria for Amplification and Suppression of Oscillations


3. Non-invariant Nature of Concepts of Absolute and Convective Instabilities


4. Nature of Beam Instability

Chapter IV. Fluctuations in a Plasma


14. Electromagnetic Fluctuations in an Equilibrium Plasma


1. Fluctuations in a Free Equilibrium Plasma


2. Fluctuations in an Equilibrium Plasma Located in a Magnetic Field


15. Fluctuations in a Two-Temperature Plasma


1. "Random Forces" Method


2. Spectral Distribution of Fluctuations


3. Fluctuations in a Two-Temperature Plasma Located in a Magnetic Field


16. Fluctuations in a Non-Equilibrium Plasma


1. Fluctuations in a Plasma with Stable Distribution Functions


2. Critical Fluctuations near the Onset of a Plasma Instability


3. Fluctuations in a Plasma-Beam System

Chapter V. Wave Scattering and Transformation and Scattering of Charged Particles in a Plasma


17. Scattering of Electromagnetic Waves in a Free Plasma


1. Current Causing Scattered Waves


2. Scattering Cross Section


3. Spectral Distribution of Scattered Radiation


4. Critical Opalescence


5. Scattering of Electromagnetic Waves in a Plasma-Beam System


18. Transformation of Transverse and Longitudinal Waves in a Plasma


1. Transformation of a Transverse Wave into a Longitudinal One


2. Transformation and Scattering of Longitudinal Waves


19. Incoherent Reflexion of Electromagnetic Waves from a Plasma


1. Coefficient of Reflexion


2. Spectral Distribution of Reflected Radiation


20. Scattering of Electromagnetic Waves in a Plasma in a Magnetic Field


1. Current Causing Scattered Waves


2. Spectral Distribution of Scattered Radiation


3. Scattering of Electromagnetic Waves on Alfvén Oscillations


21. Passage of Charged Particles through a Free Plasma


1. Probability of Scattering


2. Energy Losses of a Particle


22. Passage of Charged Particles through a Plasma in a Magnetic Field


1. Probability of Scattering


2. Energy Losses of a Particle


3. Allowance for "Spiraling"

Bibliography

Index