Collective Oscillations in a Plasma

International Series of Monographs in Natural Philosophy: Collective Oscillations in a Plasma, Volume 7 presents specific topics within the general field of radio waves propagation. This book contains five chapters that address the theory of linear oscillations in a plasma, the spectra of the eigen oscillations, and the mechanism of high-frequency heating.
The opening chapters deal with the self-consistent fields; development of initial perturbation; dispersion permittivity tensor of a plasma in a magnetic field; effect of thermal motion of particles on low-frequency resonances; excitation of oscillations by modulated azimuthal currents; and cyclotron damping of low-frequency oscillations. The next chapters describe the nature of beam instability, the fluctuations in a free equilibrium plasma, and the current causing scattered waves. A study of the probability of scattering is presented. The concluding chapters are devoted to the scattering of electromagnetic waves in a plasma-beam system and the coefficient of reflection determination.
The book can provide useful information to scientists, physicists, students, and researchers.

Contenu

Foreword
Chapter I. Spectra of Eigen Oscillations of a Free Plasma

1. Kinetic Equations
2. Self-Consistent Fields
3. Binary Collisions
4. Electron Oscillations
5. Development of Initial Perturbation
6. Frequency and Damping of Langmuir Oscillations
7. Dielectric Permittivity Tensor of a Plasma
8. Dispersion Equations for Longitudinal and Transverse Oscillations
9. Low-Frequency Longitudinal Oscillations of a Non-isothermal Plasma
   Chapter II. Spectra of Plasma Oscillations in a Magnetic Field
10. Dielectric Permittivity Tensor of a Plasma in a Magnetic Field
11. Components of Dielectric Permittivity Tensor
12. Dielectric Permittivity Tensor of a Cold Plasma
13. Longitudinal Oscillations of a Plasma in a Magnetic Field
14. Frequencies of Plasma Resonances
15. Effect of Thermal Motion of Electrons on High-Frequency Resonances
16. Effect of Thermal Motion of Particles on Low-Frequency Resonances
17. Cyclotron and Cherenkov Damping of Electron Oscillations
18. Cyclotron Damping at Electron Gyro-Resonance
19. Cyclotron Damping at Multiple Electron Gyro-Resonance
20. Cyclotron Damping at Double Resonance
21. Cherenkov Damping of Low-Frequency Electron Oscillations
22. Ion-Cyclotron and Magnetohydrodynamic Waves
23. Low-Frequency Oscillations of a Plasma at Low Pressure
24. Cherenkov Damping of Low-Frequency Oscillations
25. Cyclotron Damping of Low-Frequency Oscillations
26. Cyclotron Damping at Multiple Ion Gyro-Resonance
27. Low-Frequency Oscillations of a Non-isothermal Plasma in a Magnetic Field
28. Longitudinal Oscillations of a Non-isothermal Plasma at Low Pressure
29. Magnetosonic Waves in a Non-isothermal Plasma
30. Excitation of Oscillations in a Plasma by External Currents
31. Excitation Intensity
32. Excitation of Oscillations by Modulated Azimuthal Currents
33. Excitation of Oscillations by Modulated Axial Currents
    Chapter III. Stable and Unstable Particle Distributions in a Plasma
34. Interaction of a Flux of Charged Particles with Oscillations of a Free Plasma
35. Dispersion Equations for a Plasma-Beam System
36. Growing Langmuir and Low-Frequency Oscillations
37. Excitation of Longitudinal Oscillations by a Cold Beam
38. Instability of a Plasma whose Electrons are Moving Relative to the Ions
39. Interaction of a Flux of Charged Particles with Oscillations of a Plasma in a Magnetic Field
40. Excitation of Longitudinal Oscillations of a Plasma in a Magnetic Field by a Beam of Electrons
41. Excitation of Low-Frequency Electron Oscillations in a Plasma by a Beam of Electrons
42. Cyclotron Excitation of Ion-Cyclotron and Magnetohydrodynamic Waves in a Cold Plasma by a Beam of Particles
43. Cherenkov Excitation of Magnetosonic Waves in a Hot Plasma by a Beam of Particles
44. General Stability and Instability Conditions for Particle Distributions in a Plasma
45. Stability and Instability Criteria for Particle Distributions in a Free Plasma
46. Two-Beam Instability
47. Stability and Instability Criteria for Electron Distributions of a Plasma in a Magnetic Field
48. Absolute and Convective Instabilities; Amplification and Blocking of Oscillations
49. Criteria of Absolute and Convective Instabilities
50. Criteria for Amplification and Suppression of Oscillations
51. Non-invariant Nature of Concepts of Absolute and Convective Instabilities
52. Nature of Beam Instability
    Chapter IV. Fluctuations in a Plasma
53. Electromagnetic Fluctuations in an Equilibrium Plasma
54. Fluctuations in a Free Equilibrium Plasma
55. Fluctuations in an Equilibrium Plasma Located in a Magnetic Field
56. Fluctuations in a Two-Temperature Plasma
57. "Random Forces" Method
58. Spectral Distribution of Fluctuations
59. Fluctuations in a Two-Temperature Plasma Located in a Magnetic Field
60. Fluctuations in a Non-Equilibrium Plasma
61. Fluctuations in a Plasma with Stable Distribution Functions
62. Critical Fluctuations near the Onset of a Plasma Instability
63. Fluctuations in a Plasma-Beam System
    Chapter V. Wave Scattering and Transformation and Scattering of Charged Particles in a Plasma
64. Scattering of Electromagnetic Waves in a Free Plasma
65. Current Causing Scattered Waves
66. Scattering Cross Section
67. Spectral Distribution of Scattered Radiation
68. Critical Opalescence
69. Scattering of Electromagnetic Waves in a Plasma-Beam System
70. Transformation of Transverse and Longitudinal Waves in a Plasma
71. Transformation of a Transverse Wave into a Longitudinal One
72. Transformation and Scattering of Longitudinal Waves
73. Incoherent Reflexion of Electromagnetic Waves from a Plasma
74. Coefficient of Reflexion
75. Spectral Distribution of Reflected Radiation
76. Scattering of Electromagnetic Waves in a Plasma in a Magnetic Field
77. Current Causing Scattered Waves
78. Spectral Distribution of Scattered Radiation
79. Scattering of Electromagnetic Waves on Alfvén Oscillations
80. Passage of Charged Particles through a Free Plasma
81. Probability of Scattering
82. Energy Losses of a Particle
83. Passage of Charged Particles through a Plasma in a Magnetic Field
84. Probability of Scattering
85. Energy Losses of a Particle
86. Allowance for "Spiraling"
    Bibliography
    Index