Nonlinear Electron-Wave Interaction Phenomena

ForewordChapter I Introduction 1 General Introduction 2 Scope of the Book 3 Classes and Description of Devices Analyzed 4 Necessity for a Nonlinear Analysis ReferencesChapter II Eulerian Versus Lagrangian Formulation 1 Introduction 2 Eulerian Formulation of O-TWA Equations 3 Lagrangian Formulation 4 Composite Lagrangian SystemChapter III Radio-Frequency Equivalent Circuits 1 Introduction 2 Equivalence of Maxwell and Kelvin Theories 3 Equivalence for a Helical Wave Guiding Structure 4 Transmission-Line Equivalent for Surface Wave Propagation on a Plasma Column 5 Equivalent Transmission Lines for Multidimensional Propagating Structures 6 Backward-Wave Equivalent Circuits 7 Equivalent Circuits with Spatially Varying Line Parameters ReferencesChapter IV Space-Charge-Field Expressions 1 Introduction 2 Green's Function Method for Potential Problems 3 Potential Functions for the Cartesian Coordinate System 4 Potential Function for a Two-Dimensional Rectangular System 5 Space-Charge Fields for Rods of Charge 6 Replacement of Rf Structure by an Impedance Sheet 7 Space-Charge Potentials for Cylindrical Systems 8 Potential Function for a Ring of Charge in an Axially Symmetric System 9 Potential Functions for Hollow Beams 10 One-Dimensional Disk Space-Charge Model 11 Harmonic Method for Calculating the One-Dimensional Space-Charge Field 12 Equivalence of the Green's Function and Harmonic Methods for the One-Dimensional Problem 13 Space-Charge Fields for Specialized Configurations ReferencesChapter V Klystron Analysis 1 Introduction 2 One-Dimensional Klystron Analysis 3 One-Dimensional Klystron Results 4 Two-Dimensional Klystron Analysis 5 Three-Dimensional Klystron Interaction 6 Radial and Angular Effects in Klystrons 7 Relativistic Klystron Analysis 8 Voltage Stepping in Klystrons ReferencesChapter VI Traveling-Wave Amplifier Analysis 1 Introduction 2 Mathematical Analysis of the One-Dimensional TWA 3 One-Dimensional Results 4 N-Beam TWA Analysis 5 Two-Dimensional TWA Analysis 6 Three-Dimensional O-TWA Analysis 7 Two-Dimensional Circuit, Three-Dimensional Flow 8 Effects of Transverse Variations on TWA Gain and Efficiency 9 Relativistic O-TWA 10 Integral Equation Analysis ReferencesChapter VII O-Type Backward-Wave Oscillators 1 Introduction 2 Backward-Wave Circuits 3 Mathematical Analysis 4 Solution Procedure 5 Efficiency Calculations 6 Relativistic Oscillator Analysis 7 Radial and Angular Variations in BWO's ReferencesChapter VIII Crossed-Field Drift-Space Interaction 1 Introduction 2 Two-Dimensional Drift-Space Equations 3 Gap Modulation of a Crossed-Field Stream 4 Results for a Two-Dimensional Cf Drift Region 5 Three-Dimensional Drift-Space Equations 6 Adiabatic Motion in a Drift Region ReferencesChapter IX Crossed-Field Forward-Wave Amplifiers 1 Introduction 2 Two-Dimensional M-FWA with a Negative Sole 3 Results for a Two-Dimensional M-FWA with a Negative Sole 4 Two-Dimensional M-FWA with a Positive Sole 5 Adiabatic Equations for a Two-Dimensional M-FWA with a Negative Sole 6 Three-Dimensional M-FWA with a Negative Sole 7 Effect of Cyclotron Waves 8 Comparison with Sedin's Calculations 9 Results of and Comparison of Various Nonlinear Theories for the M-FWA ReferencesChapter X Crossed-Field Backward-Wave Oscillators 1 Introduction 2 Two-Dimensional M-BWO with a Negative Sole 3 Results for a Two-Dimensional M-BWO with a Negative Sole 4 M-BWO with a Positive Sole 5 Adiabatic Equations for an M-BWO with a Negative Sole 6 Cyclotron Waves in M-BWO's 7 Theory Versus Experiment ReferencesChapter XI Traveling-Wave Energy Converters 1 Introduction 2 O-Type Traveling-Wave Energy Converter 3 M-Type Traveling-Wave Energy Converter ReferencesChapter XII Multibeam and Beam-Plasma Interactions 1 Introduction 2 Nonlinear Equations for Combined One-Dimensional Beam-Plasma Circuit 3 Double-Beam Circuit Solutions 4 Interaction Equations in the Absence of a Circuit 5 Velocity Distributions 6 Two-Dimensional Effects in Beam-Plasma Interactions ReferencesChapter XIII Phase Focusing of Electron Bunches 1 Introduction 2 Historical Background and Experimental Work 3 Efficiency Improvement in Traveling-Wave Amplifiers 4 Efficiency Improvement in O-Type Backward-Wave Oscillators 5 Efficiency Improvement in Crossed-Field Amplifiers 6 Efficiency Improvement in Crossed-Field Backward-Wave Oscillators ReferencesChapter XIV Prebunched Electron Beams 1 Introduction 2 Mathematical Formulation of the Lagrangian Equations 3 Results for Klystrons 4 Results for Traveling-Wave Amplifiers 5 Results for Crossed-Field Amplifiers 6 Rf Power Required to Bunch an Electron Beam ReferencesChapter XV Collector Depression Techniques 1 Introduction 2 Graphical Evaluation of Depressed Collectors 3 Analysis of Output Energy Distribution for Collector Depression in O-Type Devices 4 Results of Calculations for O-Type Devices 5 Beam Current Flow Limitation in Collector Depression 6 Depressed Collectors on Crossed-Field Devices ReferencesChapter XVI Modulation Characteristics 1 Introduction 2 Mathematical Analysis for O-Type Devices 3 O-Type Nonlinear Modulation Results 4 Mathematical Analysis for M-Type Devices 5 Output Spectra for Low-Frequency Modulations 6 Modulation by Multiple High-Frequency Signals ReferencesAppendix A Rf Structure Impedance Variations 1 Helical Line for O-FWA 2 Helical Line for O-BWO 3 Tapered Interdigital Line Characteristics ReferencesAppendix B O-TWA Kompfner-Dip Conditions Text ReferencesAppendix C M-FWA Kompfner-Dip Conditions Text ReferencesAuthor IndexSubject Index