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An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas

Modern plasma physics, encompassing wave-particle interactions and collec­ tive phenomena characteristic of the collision-free nature of hot plasmas, was founded in 1946 when 1. D. Landau published his analysis of linear (small­ amplitude) waves in such plasmas. It was not until some ten to twenty y...

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Bibliographic Details
Main Author: Jones, William
Format: eBook
Language:English
Published: New York, NY Springer US 1985, 1985
Edition:1st ed. 1985
Subjects:
Nuclear Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 10.4. Selected Experiment: Landau Damping of Ion-Acoustic Waves in a Nonisothermal Plasma
  • 11. Numerical Methods
  • 11.1. Introduction
  • 11.2. Numerical Evaluation of Hilbert Transforms
  • 11.3. Hunting the Roots of a Dispersion Relation
  • 11.4. Appendix
  • References
  • 1. The Cookbook: Fourier, Laplace, and Hilbert Transforms
  • 1.1. Introduction
  • 1.2. A Basic Example: Electromagnetic-Wave Propagation in Vacuum
  • 1.3. The Fourier-Laplace Transforms
  • 1.4. Laplace Transforms and Causality
  • 1.5. Hilbert Transforms
  • 1.6. Appendix A: Functions of Complex Variables
  • 2. Waves in a Conductivity-Tensor-Defined Medium: A Cold-Plasma Example
  • 2.1. Introduction
  • 2.2. Waves in Idealized Media
  • 2.3. Waves in Plasmas
  • 2.4. Waves in a Cold Plasma
  • 2.5. Applications of the Cold-Plasma-Theory Results
  • 2.6. Selected Experiment: A Simple Transmission Experiment Using the Extraordinary Wave to Measure Plasma Density
  • 3. Electrostatic Waves in a Warm Plasma: A Fluid-Theory Example
  • 3.1. Introduction
  • 3.2. Dispersion Relation for Purely Electrostatic Waves in a Warm Plasma
  • 3.3. Electrostatic Modes in a Warm Plasma
  • 3.4. Selected Experiments
  • 4. Ion-Acoustic Waves with Ion-Neutral and Electron-Neutral Collisions
  • 7.3. Longitudinal Oscillations in an Infinite, Homogeneous Plasma with No Applied Fields—The Electron Plasma Wave
  • 7.4. Ion-Acoustic Waves
  • 8. Kinetic Theory of Forced Oscillations in a One-Dimensional Warm Plasma
  • 8.1. Introduction
  • 8.2. Microscopic Theory of Forced Oscillations
  • 8.3. Difficulties Encountered in the Forced-Oscillations Problem
  • 8.4. Free-Streaming and Collective Effects
  • 8.5. Physical Meaning of Landau Damping
  • 9. Computing Techniques for Electrostatic Perturbations
  • 9.1. Introduction
  • 9.2. Dielectric Constant of a Maxwellian Electron Cloud
  • 9.3. The Gould Technique
  • 9.4. The Derfler-Simonen Technique
  • 9.5. The Hybrid Technique
  • 9.6. Conclusions
  • 9.7. Appendix: Plasma Wave Functions
  • 10. Ion-Acoustic Waves in Maxwellian Plasmas: A Boundary-Value Problem
  • 10.1. Introduction
  • 10.2. Dispersion Relation for Ion-Acoustic Waves
  • 10.3. Ion-Acoustic Waves in an Isothermal Plasma
  • 4.1. Introduction
  • 4.2. Dispersion Relation with Collisions
  • 4.3. Initial-Value Problem
  • 4.4. Boundary-Value Problem
  • 4.5. Selected Experiment: Boundary-Value Problem for Ion-Acoustic Waves in a Collision-Dominated Discharge Plasma
  • 5. Finite-Size-Geometry Effects
  • 5.1. Introduction
  • 5.2. Electron Plasma Waves in a Cold Plasma Supported by a Strong Magnetic Field
  • 5.3. Ion-Acoustic Waves in a Warm Plasma Supported by a Strong Magnetic Field
  • 5.4. Selected Experiments
  • 6. Ion-Acoustic Waves in a Small Density Gradient
  • 6.1. Introduction
  • 6.2. Wave Equation
  • 6.3. Wave Propagation in a Nonuniform Plasma Having a Gaussian Density Profile
  • 6.4. Wave Propagation in a Nonuniform Plasma Having an Arbitrary Density Profile
  • 6.5. Wave Propagation in a Uniform Plasma Having a Subsonic Density Gradient at its Edge
  • 6.6. Selected Experiments
  • 7. Landau Damping: An Initial-Value Problem
  • 7.1. Introduction
  • 7.2. Collisionless Damping Due to Free Streaming

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