Hierarchical Methods

Preface. 9: Hierarchical Theory of Undulative Induction Accelerators (EH-Accelerators). 1. EH-Accelerators: General Ideas and Properties. 2. EH-Accelerator as a Hierarchical Oscillative System. 3. Motion of Charged Particles in the Non-Stationary Linearly Polarized EH-Accelerator. 4. Picosecond Electron Bunch Formers. 5. Stationary EH-Accelerators. 6. Example: Project of an Especially Compact Stationary EH-Accelerator. 7. The Effect of "Cooling" of Charged Particle Beams in EH-Accelerators. 8. Stationary EH-Coolers. 10: Free Electron Lasers as a Classical Electron Device with a Long-Time Interaction. 1. Free Electron Lasers: General Information. 2. Grouping (Bunching) Mechanisms in Free Electron Lasers. 11: Hierarchical Single-Particle Theory of Free Electron Lasers. 1. General Approach to the Single-Particle Theory of Free Electron Lasers. 2. Single-Particle Theory of the Free Electron Lasers of Dopplertron Type. 3. The Single-Particle Theory of the Free Electron Laser with EH-Pumping. 12: Hierarchical Self-Consistent Theory of Free Electron Lasers. 1. General Formulation of the Problem. 2. Self-Consistent Truncated Equations. Simplified Version of the Method of Slowly Varying Amplitudes. 3. Self-Consistent Truncated Equations. Method of the Averaged Kinetic Equation. The Cubic Dopplertron Model. 4. Self-Consistent Truncated Equations. The Method of the Averaged Kinetic Equation. The Cubic Nonlinear H-Ubitron Model. 5. Self-Consistent Truncated Equations. The Method of Slowly Varying Amplitudes. The Quadratic Kinetic Dopplertron Model with Arbitrarily Polarizations of the Electromagnetic Waves. 6. Self-Consistent Quadratic Fel Theory of The Simplest Linearly Polarized Quasi-Hydrodynamic model. 7. Analysis of the Wave Resonant Conditions. 8. Self-Consistent Quadratic Fel Theory of the Arbitrary Polarized Kinetic Model. The Approximation of a Given Pumping Field in the Case of the Raman Mode. 9. Self-Consistent Quadratic Fel Theory of the Arbitrarily Polarized Kinetic Model. The Approximation of the Given Pumping Field in the Case of Compton Mode. 10. Self-Consistent Quadratic Fel Theory. The Explosive Instability in the Linearly Polarized Raman Model. 11. Self-Consistent Quadratic Fel Theory. The Explosive Instability in the Arbitrarily Polarized Self-Consistent Raman Model. 12. The Self-Consistent Quadratic Fel Theory. The Explosive Instability in Linearly Polarized Self-Consistent Compton Model. 13. Self-Consistent Quadratic Fel Theory of the Effect of the Generation of the Transverse H-Ubriton Field. 14. The Dopplertron Cubic Nonlinear Model. The Effect of Nonlinear Generation of the Longitudinal Electric Field. 15. Dopplertorn Cubic Nonlinear Model. The Isochronous Model of a Dopplertron Amplifier. 16. H-Ubriton Cubic Nonlinear Model. The Effect of Nonlinear Generation of the Transverse Periodic Magnetic Field. 13: Hierarchical Theory of Two-Stream Superheterodyne Free Electron Lasers. 1. Two-Stream Superheterodyne Free Electron Lasers as a New Class of Relativistic Electron Devices. 2. Theory of the Two-Stream Instability. 3. The Essence of the Effect of Two Superheterodyne Amplification. 4. Formulation of the Cubic Nonlinear Two-Stream Superheterodyne Problem. 5. Cubic Nonlinear Truncated Equations and Analysis. Epilogue. Appendices. Index.