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Linear Beam Optics in Accelerators. Classical and Quantum Aspects

  • ID: 4470388
  • Book
  • January 2020
  • Region: Global
  • 460 Pages
  • John Wiley and Sons Ltd
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This first rigorous quantum treatment of charged particle beams in accelerators describes the design of a number of common passive and active accelerator components. In addition, different types of ion sources are characterized in terms of beam emittance, currents and profiles.

To give beginners in the field a good understanding of the techniques involved, field computational analysis of real beam components is demonstrated using standard beam optics and field computational codes and the transfer matrix approach is used to calculate design parameters of beam optical components. Data and geometry files supporting these examples are available as supplementary material online. The students′ grasp of these theoretical and numerical methods is reinforced by specific problem sections, with a solutions manual also available online. The final step – applying the tools learned from earlier chapters to actual hardware design – is supported by discussions of practical difficulties usually encountered in real world situations. Finally, the book presents a quantum theory of charged particle beam optics, which was developed as recently as the past few decades and only available in the research literature until now.
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Preface

1 Basic Principles of Particle Accelerators

1.1 History of Accelerators

1.2 Units in Accelerator Physics

1.3 Common Components of Accelerators

1.4 Electrostatic Accelerators

1.5 Cyclotrons

1.6 Betatrons

1.7 Synchrotons

1.8 Synchrocyclotrons

1.9 Storage Rings

1.10 FFAG Accelerators

1.11 Wakefield Accelerators

1.12 Colliders

Problems

2 Ion Sources

2.1 Plasma Physics in Ion Sources

2.2 Negative Ion Sources

2.2.1 Sputter Ion Sources

2.2.2 Charge Exchange Ion Sources

2.3 Positive Ion Sources

2.3.1 Penning Ion Sources

2.3.2 Duoplasmatrons

2.3.3 Microwave Ion Sources

2.3.4 ECR Ion Sources

2.3.5 Laser Ion Sources

2.3.6 Vacuum Arc Ion Sources

2.3.7 High Current Gaseous Ion Sources

2.4 Sources in Colliders

2.4.1 Electron Sources

2.4.2 Positron Sources

2.4.3 Proton Sources

2.4.4 Antiproton Sources

Problems

3. Beam Optics

3.1 Phase Space

3.2 Liouville′s Theorem

3.3 Hill′s Equations

3.4 Emittance and Brightness

3.5 Transfer Matrix

3.6 Transverse Beam Dynamics

3.7 Longitudinal Beam Dynamics

3.8 Nonlinear effects

Problems

4. Magnetostatic Devices

4.1 Motion of a Charged Particle in a Magnetic Field

4.2 Solenoid Magnets

4.3 Dipole Magnets

4.3.1 Achromatic Magnets

4.3.2 Corrector Magnets

4.3.3 Septa and Kicker Magnets

4.3.4 Scanner Magnets

4.4 Quadrupole Magnets

4.4.1 Quadrupole Doublets

4.4.2 Quadrupole Triplets

4.4.3 FODO Lattice

4.5 Steerer Magnets

4.6 Wien Filter

4.7 Undulators and Wigglers

Problems

5. Electrostatic Devices

5.1 Motion of a Charged Particle in an Electric Field

5.2 Electrostatic Gap Lens

5.3 Einzel Lens

5.4 Electrostatic Dipoles

5.5 Electrostatic Quadrupoles

5.6 Electrostatic Accelerating Tubes with High Voltage Deck

Problems

6. Radio Frequency Devices

6.1 Effect of an RF field on a Charged Particle

6.2 RF Gap

6.3 RF Bunchers

6.4 RF Choppers

6.4 Multiharmonic Buncher

6.5 RF Accelerating Cavities

6.5.1 Radiofrequency Quadrupoles

6.5.2 Drift Tube Linacs

6.5.3 Superconducting Linacs

Problems

7. Beam Diagnostic Devices

7.1 Faraday Cups

7.2 Beam Profile Monitors

7.3 Transverse Slits

7.4 Transverse Emittance Measurements

7.5 Longitudinal Emittance Measurements

Problems

8. Applications of Accelerators

8.1 Nuclear Physics

8.2 Materials Sciences

8.3 Atomic Physics

8.4 Plasma Physics

8.5 Radiation Biology

8.6 Accelerator Mass Spectroscopy

8.7 Elementary Particle Physics

Problems

9. Quantum Theory of Charged–Particle Optics: General Formalism

9.1 Classical Theory of Charged–Particle Optics: Hamiltonian Formalism

9.2 Basic Principles of Quantum Mechanics

9.3 Quantum Mechanics of Charged–Particle Optics: General Formalism

Problems

10. Quantum Theory of Non–relativistic Charged–Particle Optics

10.1 Magnetic Optical Elements

10.2 Electrostatic Optical Elements

10.3 Applications:

10.3.1 Nonrelativistic Ion Accelerator

10.3.2 Image Formation in Electron Microscopy

Problems

11. Quantum Theory of Relativistic Charged–Particle Optics

11.1 Optical Elements of High Energy Accelerators

11.2 Beam Optics of Charged Spinless Particles Based on the Klein–Gordan Equation

11.3 Beam Optics of Charged Spin–1/2 Particles Based on the Dirac Equation

Problems

12. Other Quantum Aspects of Accelerator Beam Physics

12.1 Quantum Field Theory: A Brief Summary

12.2 Some Beam Physics Phenomena Involving Quantum Mechanics:

12.2.1 Synchrotron Radiation

12.2.2 Free Electron Lasers

12.2.3 Beamstrahlung

12.2.4 Sokolov–Ternov Effect and Beam Polarization

Problems

Appendices

Solutions to Chapter Problems

Index
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Sarvesh Kumar
Ramaswamy Jagannathan
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