Magnetospheric MHD Oscillations

Anatoly Leonovich, PhD, was a Researcher at the Insitute of Solar-Terrestrial Physics, Russian Academy of Science, Irkutsk, Russia. He researched and published widely on the theory of magnetospheric magnetohydrodynamic oscillations.Vitalii Mazur, PhD, was a renowned theoretical physicist at the Irkutsk Institute of Solar-Terrestrial Physics and held, at the same time, a professorship at the Irkutsk State University, Russia. His research was focused on the theory of magnetohydrodynamic oscillations of the Earth's magnetosphere. He supervised numerous students, among them the coauthors of this book Anatoly Leonovich and Dmitri Klimushkin.Dmitri Klimushkin, PhD, is a Researcher at the Institute of Solar-Terrestrial Physics, Russian Academy of Science, Irkutsk, Russia. His research focuses on the wave-particle interactions in the magnetosphere.

• List of Figures xiList of Tables xxvAuthor Biography xxviiPreface xxixAcknowledgements xxxiAcronyms xxxiiiSymbols xxxvIntroduction xxxix1 Hydromagnetic Oscillations in Homogeneous Plasma 12 MHD Oscillations in 1D-Inhomogeneous Model Magnetosphere 102.1 A Qualitative Picture of MHD Wave Propagation in a 1D-Inhomogeneous Plasma 122.2 Model of a Smooth Transition Layer and Basic Equations for MHD Oscillations 152.3 FMS Wave Reflected from the Transition Layer in a Cold Plasma. Alfvén Resonance 162.4 Alfvén Resonance Excited by a Wave Impulse 202.5 Energy Balance in the Problem of an Incident FMS Wave Reflected from the Transition Layer Containing an Alfvén Resonance Point 252.6 FMS Wave Reflected from the Transition Layer in a ‘warm’ Plasma. Alfvén and Magnetosonic Resonances 302.7 Alfvén Resonance in Non-ideal Plasma. Kinetic Alfvén Waves 372.8 FMS Waveguide 432.9 Waveguide for Quasilongitudinal Alfvén Waves 472.10 Waveguides for Kinetic Alfvén Waves in a ‘cold’ Plasma. Waveguide Mode Attenuation 492.11 Waveguide for Kinetic Alfvén and FMS Waves in a ‘warm’ Plasma. Waveguide Mode Resonance 512.12 Waveguides in Plasma Filaments 542.13 FMS Wave Passing Through a Tangential Discontinuity 622.14 Unstable MHD Shear Flows in the Presence/Absence of Boundary Walls 702.15 Geotail Instability Due to Shear Flow at the Magnetopause 832.16 Kelvin–Helmholtz Instability in the Geotail Low-Latitude Boundary Layer 982.17 Cherenkov Radiation of the Fast Magnetoacoustic Waves 1112.18 MHD Oscillation Field Penetrating from the Magnetosphere to Ground 1153 MHD Oscillations in 2D-Inhomogeneous Models 1333.1 Resonance Between FMS and Kinetic Alfvén Waves in a Dipole-Like Magnetosphere 1373.2 Alfvén Resonance in a Dipole-Like Magnetosphere 1463.3 Resonant Alfvén Waves Excited in a Dipole-Like Magnetosphere by Broadband Sources 1583.4 Magnetosonic Resonance in a Dipole-Like Magnetosphere 1643.5 FMS Oscillations in a Dipole-Like Magnetosphere 1783.6 FMS Resonators in Earth’s Magnetosphere 1853.7 Monochromatic Transverse-Small-Scale Alfvén Waves with m ≫ 1ina Dipole-Like Magnetosphere 2003.8 Electromagnetic Oscillations Induced at Earth Surface by Magnetospheric Standing High-m Alfvén Waves 2263.9 Linear Transformation of Standing High-m Alfvén Waves Near the Toroidal Resonance Surface 2323.10 Magnetospheric Resonator for Standing High-m Alfvén Waves 2383.11 High-m Alfvén Waves Generated in the Magnetosphere by Stochastic Sources 2413.12 Broadband Standing High-m Alfvén Waves Generated by Correlated Sources 2513.13 Model Equation to Determine the Transverse Structure of Standing Alfvén Waves in the Magnetosphere 2603.14 Spatial Structure of Alfvén Oscillations Excited in the Magnetosphere by Localised Monochromatic Source 2753.15 High-m Alfvén Oscillations Generated in the Magnetosphere by Localised Pulse Sources 2823.16 Ballooning Instability of Alfvén and SMS Oscillations on Field Lines Crossing the Current Sheet 2983.17 Coupled Alfvén and SMS Oscillation Modes in the Geotail 3154 MHD Oscillations in 3D-Inhomogeneous Models of the Magnetosphere 3294.1 MHD Oscillation Properties in Non-homogeneous Models of the Magnetosphere of Different Dimension 3294.2 Coordinate System 3304.3 Basic Equations 3314.4 Qualitative Investigation of the Equation for Characteristics 3344.5 Wave Singularity in the 3D-Inhomogeneous Magnetosphere 3375 Conclusion 341Appendixes 349References 372Index 401