Classical mechanics and electromagnetism in accelerator physics
This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical...
| Main Author: | Stupakov, Gennady, |
|---|---|
| Other Authors: | Penn, Gregory,, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2018.
|
| Physical Description: |
1 online resource (x, 280 pages) : illustrations (some color). |
| Series: |
Graduate texts in physics.
|
| Subjects: |
Table of Contents:
- Preface
- Part I Classical Mechanics
- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion
- Canonical Transformations
- Action-angle Variables and Liouville's Theorem
- Linear and Non-Linear Oscillations
- Coordinate System and Hamiltonian for a Circular Accelerator
- Equations of Motion in Accelerators
- Action-Angle Variables for Betatron Oscillations
- Magnetic Field and Energy Errors
- Non-Linear Resonance and Resonance Overlapping
- The Kinetic Equation
- Part II Electricity and Magnetism
- Self Field of a Relativistic Beam
- Effect of Environment on Electromagnetic Field of a Beam
- Plane Electromagnetic Waves and Gaussian Beams
- Waveguides and RF Cavities
- Radiation and Retarded Potentials
- Dipole Radiation and Scattering of Electromagnetic Waves
- Transition and Diffraction Radiation
- Synchrotron Radiation
- Undulator radiation
- Formation Length of Radiation and Coherent Effects
- Topics in Laser-Driven Acceleration
- Radiation Damping Effects
- Part III End Matter
- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field
- Appendix B: Lorentz transformations and the relativistic Doppler effect
- Index.