## Whistler-mode Waves in a Hot PlasmaThe book provides an extensive theoretical treatment of whistler-mode propagation, instabilities and damping in a collisionless plasma. This book fills a gap between oversimplified analytical studies of these waves, based on the cold plasma approximation, and studies based on numerical methods. Although the book is primarily addressed to space plasma physicists and radio physicists, it will also prove useful to laboratory plasma physicists. Mathematical methods described in the book can be applied in a straightforward way to the analysis of other types of plasma waves. Problems included in this book, along with their solutions, allow it to be used as a textbook for postgraduate students. |

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### Contents

Introduction | 1 |

1 Basic equations | 5 |

2 Propagation in a cold plasma | 36 |

3 Parallel propagation weakly relativistic approximation | 61 |

4 Parallel propagation nonrelativistic approximation | 76 |

5 Quasilongitudinal approximation | 94 |

6 Quasielectrostatic approximation | 121 |

7 Growth and damping of the waves | 144 |

8 Nonlinear effects | 185 |

9 Applications to the Earths magnetosphere | 210 |

236 | |

Solutions to the problems | 250 |

258 | |

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### Common terms and phrases

anisotropy assumed cold plasma considered contribution of ions corrections corresponding cos2 cos6 curves dashed decrease deﬁned deﬁnition dense plasma deriving determined dispersion equation Earth’s effects of ﬁnite electron distribution function electron plasma emissions expression ﬁe ﬁgure ﬁnite electron density ﬁrst follows from Fig group delay group velocity growth or damping Hayakawa increases with increasing inﬂuence instability integral ionosphere Landau damping magnetic ﬁeld magnetopause magnetosphere magnetospheric conditions marginal stability neglect the contribution numerical obtain parameters perturbed plasma dielectric tensor Plasma Physics plasmasphere Plots Problem quasi-electrostatic whistler-mode quasi-longitudinal reduces refractive index resonance restrict ourselves satisﬁed Sazhin Section sferics shown in Fig simpliﬁed sin2 Space Science subsection substituted taken into account terms proportional theory valid values versus Y_1 vicinity Vlasov equation wave ﬁeld wave normal angle wave propagation weakly relativistic whistler whistler-mode group velocity whistler-mode growth whistler-mode waves