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Modulational Interactions in Plasmas

S. V. Vladimirov, V. N. Tsytovich, S. I. Popel, and F. Kh. Khakimov

Kluwer Academic Publishers, Dordrecht/Boston/London (1995), 540 pp. (ISBN 0-7923-3487-6)

Abstract

Preface

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Abstract

This is the first book to present all the basic considerations relevant to the topic. It adopts a simple and universal approach, based on new methods developed for the description of modulational interactions in arbitrary media. Emphasis is given to the role of modulational interactions in fundamental topics, such as laser acceleration, physical phenomena in active geophysical and space experiments, interactions of r.f. radiation with the ionosphere, etc. The methods employed can also be applied to other areas of physics.

Preface

9 1. Modulational Interactions in Physics

1.1. Nonlinear phenomena and physics of plasmas

1.2. Plasma nonlinear response

1.3. Virtual waves

1.4. Modulational interactions

1.5. Content of the book

15 2. Modulational Interaction of Potential Electric Fields

2.1. General nonlinear formalism

2.2. Nonlinear responses

2.3. Envelope Langmuir fileds

2.4. Instability of Langmuir pump wave

2.5. Nonlinearities of low-frequency field

55

101

110

3. Higher Nonlinearities

3.1. Electron nonlinearities

3.2. Relativistic nonlinearities

3.3. Fifth-order effects

3.4. Fast solitary waves

3.5. Laser plasma accelerators

119

130

136

144

150

4. Strongly Nonlinear Plasma Waves

4.1. Perturbation theory

4.2. Nonperturbative kinetic theory

4.3. Ion-beam plasma system

4.4. Multi-component systems

161

162

175

185

193

5. Excitation of Magnetic Fields

5.1. Magneto-modulational equations

5.2. Instability of monochromatic pump wave

205

206

218

6. Homogeneous Plasma in External Magnetic Field

6.1. Equation for lower-hybrid waves

6.2. Monochromatic LH wave

6.3. LH solitons

6.4. LH wave-particle interactions

229

238

248

261

7. Bounded and Inhomogeneous Plasmas in External Magnetic Field

7.1. Interactions in bounded plasmas

7.2. Modulational instability of LH drift wave

7.3. Effects in magnetosphere palsmas

7.4. Modulational interactions and active experiments

275

277

291

306

313

8. Instabilities in Collisional Plasmas

8.1. Basic equations

8.2. Effective thrid-order response

8.3. Instability of Langmuir wave

8.4. Coupled Langmuir and sound waves

8.5. Instability of electromagnetic waves

327

328

338

347

356

364

9. Instabilities of Surface Waves

9.1. Hydrodynamics of bounded plasmas

9.2. Kinetic theory of bounded plasmas

9.3. Modulational instability and soitons

383

387

396

412

10. Two monochromatic Pump Waves

10.1. Interactions of two pumps

10.2. Pumps with large frequency gap

10.3. Instability rates

429

430

438

447

11. Modulational Processes and Weak Plasma Turbulence

11.1. Weak turbulence approximation

11.2. Instability equations

11.3. Instability of wave packets

11.4. Instability thresholds

11.5. WKB-Ansatz

459

461

472

481

491

500

Last Modified on 16 November, 2005