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Earth Sciences & Geography - Geophysics & Geodesy | Plasma Waves in the Magnetosphere

Plasma Waves in the Magnetosphere

Walker, A.D.M.

Softcover reprint of the original 1st ed. 1993, XII, 348 pp. 119 figs.

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  • About this book

This book is a study of plasma waves which are observed in the earth's magnetosphere. The emphasis is on a thorough, but concise, treatment of the necessary theory and the use of this theory to understand the manifold varieties of waves which are observed by ground-based instruments and by satellites. We restrict our treatment to waves with wavelengths short compared with the spatial scales of the background plasma in the mag­ netosphere. By so doing we exclude large scale magnetohydrodynamic phenomena such as ULF pulsations in the Pc2-5 ranges. The field is an active one and we cannot hope to discuss every wave phenomenon ever observed in the magnetosphere! We try instead to give a good treatment of phenomena which are well understood, and which illustrate as many different parts of the theory as possible. It is thus hoped to put the reader in a position to understand the current literature. The treatment is aimed at a beginning graduate student in the field but it is hoped that it will also be of use as a reference to established workers. A knowledge of electromagnetic theory and some elementary plasma physics is assumed. The mathematical background required in­ cludes a knowledge of vector calculus, linear algebra, and Fourier trans­ form theory encountered in standard undergraduate physics curricula. A reasonable acquaintance with the theory of functions of a complex vari­ able including contour integration and the residue theorem is assumed.

Content Level » Research

Related subjects » Atomic, Molecular, Optical & Plasma Physics - Geophysics & Geodesy

Table of contents 

I Propagation and Generation of Plasma Waves.- 1 Basic Equations.- 1.1 Introduction.- 1.2 Electromagnetic Equations.- 1.3 Fluid Equations.- 1.4 The Kinetic Equation.- 1.5 Poynting’s Theorem.- 1.6 Harmonic Oscillations.- 1.7 The Wave Equation.- 1.8 Summary.- 2 Waves in a Uniform Cold Magnetoplasma — 1. Infinite Plane Waves.- 2.1 Introduction.- 2.2 Characteristic Frequencies and Speeds.- 2.3 Linearization of the Equation of Motion.- 2.4 Constitutive Relations.- 2.5 Plane Waves.- 2.6 Polarization.- 2.7 Properties of the Refractive Index.- 2.8 Energy Flux in a Plane Wave.- 2.9 Summary.- 3 Waves in a Uniform Cold Magnetoplasma — 2. Rays and Wave Packets.- 3.1 Introduction.- 3.2 Wave Packets and Rays.- 3.3 Classification of Waves in a Cold Plasma.- 3.4 Refractive Index and Dispersion Relation.- 3.5 Summary.- 4 Propagation of Electromagnetic Waves in a Non-Uniform Cold Magnetoplasma.- 4.1 Introduction.- 4.2 Plane Stratified Media.- 4.3 Ray Tracing in General Media.- 4.4 Summary.- 5 Waves in a Uniform Warm Magnetoplasma.- 5.1 Introduction.- 5.2 Characteristic Speeds.- 5.3 The Constitutive Relation.- 5.4 Dispersion Relations and Refractive Index.- 5.5 Polarization.- 5.6 Summary.- 6 Waves in a Hot Plasma — 1. General Features.- 6.1 Introduction.- 6.2 Unperturbed Particle Orbits.- 6.3 Electrostatic Approximation.- 6.4 Propagation Parallel to the Magnetic Field.- 6.5 Growth and Decay of Waves.- 6.6 The Equilibrium Distribution Function — The Maxwellian.- 6.7 Non-Equilibrium Distribution Functions.- 6.8 Summary.- 7 Waves in a Hot Plasma — 2. Equilibrium and Non-Equilibrium Distributions.- 7.1 Introduction.- 7.2 Waves in Plasmas in Thermal Equilibrium.- 7.3 Longitudinal Waves Excited by a Particle Beam.- 7.4 Electrostatic Waves Associated with Anisotropic Distributions.- 7.5 Summary.- 8 The Effect of Wave Fields on Energetic Particles.- 8.1 Introduction.- 8.2 Particle Resonance.- 8.3 Trajectories of Resonant Particles in Velocity Space.- 8.4 Diffusion in Velocity Space.- 8.5 Some Non-Linear Effects.- 8.6 Waves Resonant with a Test Particle.- 8.7 Summary.- II Applications of the Theory to Plasma Wave Observations.- 9 Magnetospheric Plasmas.- 9.1 Introduction.- 9.2 Structure of the Earth’s Magnetosphere.- 9.3 Cold Plasma Populations in the Magnetosphere.- 9.4 Hot Plasma Populations.- 9.5 Waves in the Magnetosphere.- 9.6 Summary.- 10 Waves in the Plasmasphere — 1. Whistler Observations and Basic Theory.- 10.1 Introduction.- 10.2 Properties of the Whistler Mode.- 10.3 Observations of Whistlers.- 10.4 Elementary Theory of Whistlers.- 10.5 Use of Whistlers as a Magnetospheric Probe.- 10.6 Summary.- 11 Waves in the Plasmasphere — 2. Details of Whistler Propagation.- 11.1 Introduction.- 11.2 Lightning as a Source of Electromagnetic Radiation.- 11.3 Propagation in the Earth-Ionosphere Waveguide.- 11.4 Transmission of Whistlers Through the Ionosphere.- 11.5 Propagation of Unducted Whistlers.- 11.6 Propagation in Ducts.- 11.7 Summary.- 12 Waves in the Plasmasphere — 3. Ion Cyclotron Whistlers.- 12.1 Introduction.- 12.2 Observations.- 12.3 Ion Cyclotron Whistler Propagation in a Uniform Medium.- 12.4 Nature of Ion Cyclotron Whistler Generation.- 12.5 The Effect of Collisions on Coupling.- 12.6 Summary.- 13 Waves in the Plasmasphere — 4. Doppler Shifted Cyclotron Resonance of Electrons with Whistlers.- 13.1 Introduction.- 13.2 Some Relevant Observations.- 13.3 Whistler Wave-Particle Interaction in a Uniform Medium.- 13.4 Whistler-Mode Noise in a Non-Uniform Medium.- 13.5 Whistler-Mode Signals Generated by Energetic Particles.- 13.6 Summary.- 14 Waves in the Auroral Region.- 14.1 Introduction.- 14.2 Observations.- 14.3 Propagation of Whistler Mode Hiss.- 14.4 Z-Mode Radiation.- 14.5 Terrestrial Myriametric Radiation.- 14.6 Auroral Kilometric Radiation.- 14.7 Summary.- 15 Some Final Words.- 15.1 Introduction.- 15.2 Man-Made Plasma Waves.- 15.3 Ultra Low Frequency Pulsations.- 15.4 Waves in the Magnetotail, Magnetosheath and Solar Wind.- 15.5 Future Work.- A The Essence of Cartesian Tensors.- B Some Mathematical Results.- B.1 Properties of Bessel Functions and Related Results.- B.2 The Plasma Dispersion Function.- C Properties of the Earth’s Dipole Field.- D Definition of Symbols.

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