Electron Beams and Microwave Vacuum ElectronicsISBN: 9780470048160
573 pages
October 2006

Introduction.
I.1 Outline of the Book.
I.2 List of Symbols.
I.3 Electromagnetic Fields and Potentials.
I.4 Principle of Least Action. Lagrangian. Generalized Momentum. Lagrangian Equations.
I.5 Hamiltonian. Hamiltonian Equations.
I.6 Liouville Theorem.
I.7 Emittance. Brightness.
PART I ELECTRON BEAMS.
1 Motion of Electrons in External Electric and Magnetic Static Fields.
1.1 Introduction.
1.2 Energy of a Charged Particle.
1.3 Potential–Velocity Relation (Static Fields).
1.4 Electrons in a Linear Electric Field e0E ¼ kx.
1.5 Motion of Electrons in Homogeneous Static Fields.
1.6 Motion of Electrons in Weakly Inhomogeneous Static Fields.
1.6.1 Small Variations in Electromagnetic Fields Acting on Moving Charged Particles.
1.7 Motion of Electrons in Fields with Axial and Plane Symmetry. Busch’s Theorem.
2 Electron Lenses.
2.1 Introduction.
2.2 Maupertuis’s Principle. ElectronOptical Refractive Index.
Differential Equations of Trajectories.
2.3 Differential Equations of Trajectories in Axially Symmetric Fields.
2.4 Differential Equations of Paraxial Trajectories in Axially Symmetric Fields Without a Space Charge.
2.5 Formation of Images by Paraxial Trajectories.
2.6 Electrostatic Axially Symmetric Lenses.
2.7 Magnetic Axially Symmetric Lenses.
2.8 Aberrations of Axially Symmetric Lenses.
2.9 Comparison of Electrostatic and Magnetic Lenses. Transfer Matrix of Lenses .
2.10 Quadrupole lenses.
3 Electron Beams with Self Fields.
3.1 Introduction.
3.2 SelfConsistent Equations of SteadyState SpaceCharge Electron Beams.
3.3 Euler’s Form of a Motion Equation. Lagrange and Poincare´ Invariants of Laminar Flows.
3.4 Nonvortex Beams. Action Function. Planar Nonrelativistic Diode.
Perveance. Child–Langmuir Formula. r and TModes of Electron Beams.
3.5 Solutions of SelfConsistent Equations for Curvilinear SpaceCharge Laminar Beams. Meltzer Flow. Planar Magnetron with an Inclined Magnetic Field. Dryden Flow.
4 Electron Guns.
4.1 Introduction.
4.2 Pierce’s Synthesis Method for Gun Design.
4.3 Internal Problems of Synthesis. Relativistic Planar Diode. Cylindrical and Spherical Diodes.
4.4 External Problems of Synthesis. Cauchy Problem.
4.5 Synthesis of Electrode Systems for TwoDimensional Curvilinear Beams with Translation Symmetry (Lomax–Kirstein Method). Magnetron Injection Gun.
4.6 Synthesis of Axially Symmetric Electrode Systems.
4.7 Electron Guns with Compressed Beams. Magnetron Injection Gun.
4.8 Explosive Emission Guns.
5 Transport of SpaceCharge Beams.
5.1 Introduction.
5.2 Unrippled Axially Symmetric Nonrelativistic Beams in a Uniform Magnetic field.
5.3 Unrippled Relativistic Beams in a Uniform External Magnetic Field..
5.4 Cylindrical Beams in an Infinite Magnetic Field.
5.5 Centrifugal Electrostatic Focusing.
5.6 ParaxialRay Equations of Axially Symmetric Laminar Beams.
5.7 Axially Symmetric Paraxial Beams in a Uniform Magnetic Field with Arbitrary Shielding of a Cathode Magnetic Field.
5.8 Transport of SpaceCharge Beams in Spatial Periodic Fields.
PART II MICROWAVE VACUUM ELECTRONICS.
6 Quasistationary Microwave Devices.
6.1 Introduction.
6.2 Currents in Electron Gaps. Total Current and the Shockley–Ramo Theorem.
6.3 Admittance of a Planar Electron Gap. Electron Gap as an Oscillator. Monotron.
6.4 Equation of Stationary Oscillations of a Resonance SelfExcited Circuit.
6.5 Effects of a SpaceCharge Field. Total Current Method. HighFrequency Diode in the rMode. Llewellyn–Peterson Equations.
7 Klystrons.
7.1 Introduction.
7.2 Velocity Modulation of an Electron beam.
7.3 Cinematic (Elementary) Theory of Bunching.
7.4 Interaction of a Bunched Current with a Catcher Field. Output Power of A TwoCavity Klystron.
7.5 Experimental Characteristics of a TwoResonator Amplifier and FrequencyMultiplier Klystrons.
7.6 SpaceCharge Waves in VelocityModulated Beams.
7.7 Multicavity and Multibeam Klystron Amplifiers.
7.8 Relativistic Klystrons.
7.9 Reflex Klystrons.
8 TravelingWave Tubes and BackwardWave Oscillators (OType Tubes).
8.1 Introduction.
8.2 Qualitative Mechanism of Bunching and Energy Output in a TWTO.
8.3 SlowWave Structures.
8.4 Elements of SWS Theory.
8.5 Linear Theory of a Nonrelativistic TWTO. Dispersion Equation, Gain, Effects of Nonsynchronism, Space Charge, and Loss in a SlowWave Structure.
8.6 Nonlinear Effects in a Nonrelativistic TWTO. Enhancement of TWTO Efficiency (Velocity Tapering, Depressed Collectors).
8.7 Basic Characteristics and Applications of Nonrelativistic TWTOs.
8.8 BackwardWave Oscillators.
8.9 Millimeter Nonrelativistic TWTOs, BWOs, and Orotrons.
8.10 Relativistic TWTOs and BWOs.
9 CrossedField Amplifiers and Oscillators (MType Tubes).
9.1 Introduction.
9.2 Elementary Theory of a Planar MTWT.
9.3 MTWT Amplification.
9.4 Mtype Injected Beam BackwardWave Oscillators (MWO, MCarcinotron).
9.5 Magnetrons.
9.6 Relativistic Magnetrons.
9.7 Magnetically Insulated Line Oscillators.
9.8 CrossedField Amplifiers.
10 Classical Electron Masers and Free Electron Lasers.
10.1 Introduction.
10.2 Spontaneous Radiation of Classical Electron Oscillators.
10.3 Stimulated Radiation of Excited Classical Electron Oscillators.
10.4 Examples of Electron Cyclotron Masers.
10.5 Resonators of Gyromonotrons (Free and Forced Oscillations).
10.6 Theory of a Gyromonotron.
10.7 Subrelativistic Gyrotrons.
10.8 Elements of Gyrotron Electron Optics.
10.9 Mode Interaction and Mode Selection in Gyrotrons. Output Power Systems.
10.10 Gyroklystrons.
10.11 GyroTravelingWave Tubes.
10.12 Applications of Gyrotrons.
10.13 Cyclotron Autoresonance Masers.
10.14 Free Electron Lasers.
Appendixes.
1. Proof of the 3/2 Law for Nonrelativistic Diodes in the rMode.
2. Synthesis of Guns for MType TWTS and BWOS.
3. Magnetic Field in Axially Symmetric Systems.
4. Dispersion Characteristics of Interdigital and Comb Structures.
5. Electromagnetic Field in Planar Uniform SlowWave Structures.
6. Equations of Free Oscillations of Gyrotron Resonators.
7. Derivation of Eqs. (10.66) and (10.67).
8. Calculation of Fourier Coefficients in Gyrotron Equations.
9. Magnetic Systems of Gyrotrons.
References.
Index.
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