Plasma Waves

Preface 1 Introduction 1.1 Properties of Plasmas 1.1.1 Unmagnetized Plasmas 1.1.2 Magnetized Plasmas 1.1.3 Thermal Plasmas 1.2 Plasma Wave Applications 1.2.1 Plasma Waves in Ionospheric Physics 1.2.2 Plasma Waves in Astrophysics 1.2.3 Plasma Waves in Magnetized Fusion Plasmas 1.2.4 Plasma Waves in Laser-Produced Plasmas 1.3 Review of Electromagnetic Wave Propagation 1.3.1 The Maxwell Equations 1.3.2 Properties of the Helmholtz Equation 1.3.3 Conservation Laws 1.3.4 Conservation Laws with Fourier Amplitudes 1.3.5 Geometric Optics - WKB Theory 1.4 Statistical Mechanics of Plasmas 1.5 Overview of the Plasma Wave Zoo I Linear Plasma Waves 2 Waves in a Cold Uniform Plasma 2.1 The Cold Plasma Dispersion Relation 2.2 The CMA Diagram 2.3 Phase and Group Velocity in 3-D 2.4 ?(k,?) Dispersion Surfaces 2.5 Examples of Propagation at Arbitrary ? 2.6 Faraday Rotation 2.7 Plasma Interferometry 2.8 Electrostatic Waves 2.9 Particle Motions near Resonance 3 Waves in Fluid Plasmas 3.1 Moments of the Distribution Function 3.2 The Fluid Equations 3.3 Low Frequency Waves 3.4 Partially Ionized Plasmas and Collisions 3.5 Amplifying Waves and Instabilities 4 Kinetic Theory of Plasma Waves 4.1 The Basic Equations 4.2 Waves in a Thermal, Unmagnetized Plasma 4.3 Waves in a Hot Magnetized Plasma 4.4 Electrostatic Waves 4.5 Velocity Space Instabilities 4.6 Conservation of Energy and Power Flow 4.7 Relativistic Plasma Effects 5 Bounded Homogeneous Plasmas 5.1 Introduction 5.2 Boundary Conditions 5.3 Unmagnetized Plasmas 5.4 Electrostatic Waves 5.5 Cold Plasma-Filled Waveguide 5.6 Conducting Wall with Vacuum Layer, m = 0, ± 1 5.7 Infinite Magnetic Field 6 Inhomogeneous Plasma Waves 6.1 Introduction 6.2 WKB Method for 1-D Inhomogeneities 6.3 Mode Conversion Theory 6.4 Ray Tracing in 3-D Inhomogeneous Plasmas 6.5 Drift Waves and InstabilitiesII Nonlinear Plasma Waves 7 Weak Turbulence Theory 7.1 Introduction 7.2 Quasilinear Theory 7.3 Nonlinear Wave-Particle-Wave Applications 8 Finite Amplitude Plasma Waves 8.1 Nonlinear Mechanisms in Plasmas 8.2 Solitary Waves and Solitons 8.3 Trapped Particle Effects 8.4 Parametric InstabilitiesA Complex Variables A.l Contour Integrals A.2 Analytic Continuation A.3 Steepest Descents - Saddle Point Method? Special Functions in Plasma Physics B.l Plasma Dispersion Function, ?(?) B.2 Relativistic Dispersion Function, Fq(z) B.3 Gamma Function, G(z)C The Amplitude Equations D Answers to Selected Problems Bibliography Index