Electron Beams and Microwave Vacuum Electronics [Hardcover]

This book focuses on a fundamental feature of vacuum electronics: the strong interaction of the physics of electron beams and vacuum microwave electronics, including millimeter-wave electronics. The author guides readers from the roots of classical vacuum electronics to the most recent achievements in the field. Special attention is devoted to the physics and theory of relativistic beams and microwave devices, as well as the theory and applications of specific devices.PREFACE.

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. Electron-Optical Refractive Index.

Differential Equations of Trajectories.

2.3 Differential Equations of Trajectories in Axially Symmetric Fields.

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