Author's Foreword |
Preface |
Acknowledgments |
Introduction / 1.: |
Exordium / 1.1: |
Historical Background / 1.2: |
Technical Advances / 1.3: |
Outline / 1.4: |
Chapter 1 References |
Theoretical Models of Nonneutral Plasma / 2.: |
Kinetic Description / 2.1: |
Macroscopic Fluid Description / 2.3: |
Conservation Relations / 2.4: |
Discrete Particle Effects / 2.5: |
Gravitational Analogue / 2.6: |
Chapter 2 References |
Fundamental Properties of Nonneutral Plasma / 3.: |
Cold-Fluid Equilibrium Rotation / 3.1: |
Single-Particle Trajectories / 3.2: |
Thermal Equilibrium / 3.3: |
Debye Shielding / 3.4: |
Spontaneous Emission from a Test Electron / 3.5: |
Strongly Coupled Nonneutral Plasma / 3.6: |
Chapter 3 References |
Kinetic Equilibrium and Stability Properties / 4.: |
Equilibrium Vlasov--Maxwell Equations for Axisymmetric Nonneutral Plasma / 4.1: |
Nonrelativistic Kinetic Equilibria / 4.2: |
Axially-Confined Kinetic Equilibria / 4.3: |
Intense Relativistic Electron Beam Equilibria / 4.4: |
Kinetic Stability Theorem for Nonneutral Plasma / 4.5: |
Kinetic Confinement Theorem for Nonneutral Plasma / 4.6: |
Electrostatic Eigenvalue Equation / 4.7: |
Dispersion Relation for Body-Wave Perturbations / 4.8: |
Dispersion Relation for Flute Perturbations / 4.9: |
Kinetic Equilibrium and Stability Properties of the Modified Betatron / 4.10: |
Chapter 4 References |
Macroscopic Equilibrium and Stability Properties / 5.: |
Equilibrium Force Balance Equation / 5.1: |
Examples of Macroscopic Equilibria / 5.2: |
Dispersion Relation for Uniform-Density Plasma Column / 5.3: |
Nonneutral Plasma-Filled Waveguide / 5.5: |
Stability Properties for Flute Perturbations / 5.6: |
Two-Stream Instabilities in Relativistic Beam-Plasma Systems / 5.7: |
Electromagnetic Filamentation Instability / 5.8: |
Equilibrium and Collective Oscillation Properties of Two-Dimensional Nonneutral Plasma / 5.9: |
Chapter 5 References |
The Diocotron Instability / 6.: |
Nonrelativistic Guiding-Center Model / 6.1: |
Electrostatic Stability Theorem / 6.2: |
Linear Stability Properties / 6.3: |
Experimental Results / 6.4: |
Quasilinear Evolution / 6.5: |
Resonant Diocotron Instability / 6.6: |
Influence of Electromagnetic and Relativistic Effects / 6.7: |
Chapter 6 Referrences |
Coherent Electromagnetic Wave Generation by the Cyclotron Maser and Free Electron Laser Instabilities / 7.: |
Cyclotron Maser Instability / 7.1: |
Cyclotron Maser Instability for an Annular Electron Beam / 7.3: |
High-Power Step-Tunable Gyrotron Experiments / 7.4: |
Free Electron Laser Instability / 7.5: |
Kinetic Description of the Free Electron Laser Instability / 7.6: |
Cold-Beam Stability Properties / 7.7: |
Warm-Beam Compton-Regime Stability Properties / 7.8: |
Nonlinear Evolution for Multimode Excitation / 7.9: |
Sideband Instability / 7.10: |
Harmonic Generation in a Planar Wiggler Free Electron Laser / 7.11: |
High-Gain Free Electron Laser Amplifier Experiments / 7.12: |
Chapter 7 References |
Equilibrium and Stability Properties of Intense Nonneutral Flow in High-Power Diodes / 8.: |
Child-Langmuir Flow / 8.1: |
Magnetically Insulated Brillouin Flow / 8.3: |
Magnetically Insulated Ion Diodes / 8.4: |
Magnetron Instability for Magnetically Insulated Electron Flow / 8.5: |
Multiresonator Magnetron Experiments / 8.6: |
Ion Resonance and Transit Time Instabilities in Magnetically Insulated Ion Diodes / 8.7: |
Applied-B Diodes with Virtual Cathode / 8.8: |
Chapter 8 References |
Propagation and Stability of Intense Charged Particle Beams in a Solenoidal Focusing Field / 9.: |
Propagation of Intense Nonneutral Electron Beams / 9.1: |
Stability of Nonneutral Electron Flow in a One-Dimensional Drift Space / 9.3: |
Stability of Intense Nonneutral Ion and Electron Beams / 9.4: |
Resistive Hose Instability for Intense Electron Beam Propagation Through a Background Plasma / 9.5: |
Resistive Sausage and Hollowing Instabilities for Intense Electron Beam Propagation Through a Background Plasma / 9.6: |
Chapter 9 References |
Propagation and Stability of Intense Charged Particle Beams in an Alternating-Gradient Focusing Field / 10.: |
Alternating-Gradient Field Configuration / 10.1: |
Equations of Motion in the Paraxial Approximation / 10.3: |
Orbit and Envelope Equations for a Periodic Quadrupole Field / 10.4: |
Orbit and Envelope Equations for a Solenoidal Focusing Field / 10.5: |
Average Focusing Force and Phase Advance for a Periodic Quadrupole Field / 10.6: |
Hamiltonian Formulation and Relationship to Kapchinskij-Vladimirskij Distribution Function / 10.7: |
Transverse Stability of the Kapchinskij-Vladimirskij Distribution Function / 10.8: |
Emittance Growth / 10.9: |
Chapter 10 References |
Solution to the Eigenvalue Equation for Longitudinal Stability of the Modified Betatron / Appendix A.: |
Derivation of the Extraordinary-Mode Eigenvalue Equation for Relativistic Electron Flow in Planar Geometry / Appendix B.: |
Index |
Author's Foreword |
Preface |
Acknowledgments |
Introduction / 1.: |
Exordium / 1.1: |
Historical Background / 1.2: |