Models of Particles and Moving Media

PrefaceAcknowledgmentsChapter 1 Space-Time and the Galilean Transformation 1.0 Introduction 1.1 Trajectories in Various Spaces Example I Simple Harmonic Motion in a Moving Frame of Reference 1.2 Frames of Reference Example II Doppler Effect for Acoustic Waves 1.3 Newton's Laws and Galilean Invariance ReferencesChapter 2 The Lorentz Transformation of Time and Space 2.0 Introduction 2.1 Transformation of Coordinates 2.2 Time Dilation and the Lorentz Contraction 2.3 Transformation of Velocity and Acceleration 2.4 Transformation of Mass 2.5 Transformation of Force 2.6 Conservation of Mass and Energy 2.7 Particle Accelerators ReferencesChapter 3 The Lorentz Transformation of Maxwell's Equations 3.0 Introduction 3.1 The Lorentz Transformation of Maxwell's Equations in Free Space 3.2 The Fields of a Moving Point Charge in Free Space 3.3 The Lorentz Transformation of Maxwell's Equations in Material Media 3.4 Wave Transformations Example III A Moving Resonator 3.5 TEM Waves in a Moving Lossless Dielectric Medium 3.6 Poynting's Theorem and the Conservation of Energy Example IV A Radiation-Pressure Motor ReferencesChapter 4 Forces and Wave Interaction with Uniformly Moving Circuits and Continua 4.0 Introduction 4.1 Self-Consistent Forces and Emfs in Wave Interactions with Moving Conducting Media-the TEM Mode 4.2 A Model of an Induction Motor-TE Mode in a Moving Conducting Medium 4.3 The Surface Charge Induction Motor-TM Mode in a Moving Conducting Medium 4.4 Quasi-Static Formulation of Maxwell's Equations 4.5 Faraday's Law for Moving Media Example V Emfs in Slowly Moving Loops in a Magnetic Field 4.6 Forces on Prescribed Current Distributions in Prescribed Magnetic Fields-Conventional ac and dc Motors 4.7 Self-Consistent Forces and Emfs in Circuits Moving through Prescribed Magnetic Fields-the Induction Motor ReferencesChapter 5 Nonuniform Motion of Charged Particles in Prescribed Electric and Magnetic Fields 5.0 Introduction 5.1 Motion of a Point Charge in a Static Magnetic Field Uniform in Space 5.2 Motion of a Point Charge in a Slowly Varying Magnetic Field Uniform in Space 5.3 Motion of a Point Charge in a Static, Nonuniform, Axially Symmetric Magnetic Field 5.4 Motion of a Point Charge in a Static Electric Field Uniform in Space 5.5 Motion of a Point Charge in Crossed Static Electric and Magnetic Fields Uniform in Space 5.6 Motion of Many Noninteracting Particles in a Static Electric Field Uniform in Space 5.7 Electron Guns and Lenses ReferencesChapter 6 Motion of Many Interacting Particles-The Lagrangian Model 6.0 Introduction 6.1 Electric Field Calculations for Zero-Thickness Charge Sheets Example VI A Problem of Many Interacting Particles That Can Be Solved Exactly-Plasma Oscillations 6.2 Finite-Difference Solutions to Particle-Trajectory Equations 6.3 Particle Ordering and Field Calculations Based on a Coarse-Grained Configuration Space 6.4 Particle Injection in the Lagrangian Model-Specifying the Initial Conditions 6.5 The Single-Species Diode with a dc Injection Velocity 6.6 The Single-Species Diode with Time-Varying Injection Velocity-Klystron Amplifiers and Oscillators 6.7 The Two-Species Diode with Infinite Spacing-Ion Propulsion Beam Neutralization 6.8 The Dual Problem-Interaction of Uncharged Current Sheets ReferencesChapter 7 Motion of Charged and Conducting Fluids-The Eulerian Model 7.0 Introduction 7.1 Fundamental Equations for Charged and Conducting Fluids 7.2 Static Theory of a Charged Fluid in a Planar Diode-Single Velocity Injection of a Prescribed Current 7.3 Static Theory of a Neutralized Beam 7.4 Time-Varying Perturbations in a Neutralized Beam-Space Charge Waves 7.