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Nonlinear dynamics in particle accelerators

Author: Rui Dilão; Rui Alves-Pires
Publisher: Singapore ; River Edge, NJ : World Scientific, ©1996.
Series: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 23.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an introductory course to accelerator physics at the level of graduate students. It has been written for a large audience which includes users of accelerator facilities, accelerator physicists and engineers, and undergraduates aiming to learn the basic principles of construction, operation and applications of accelerators. The new concepts of dynamical systems developed in the last twenty years give the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dilão, Rui.
Nonlinear dynamics in particle accelerators.
Singapore ; River Edge, NJ : World Scientific, ©1996
(DLC) 97106685
(OCoLC)36273014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rui Dilão; Rui Alves-Pires
ISBN: 9789812798657 981279865X
OCLC Number: 827947380
Description: 1 online resource (xiii, 223 pages) : illustrations (some color).
Contents: 1. Introduction to accelerator physics. 1.1. Introduction. 1.2. Accelerators in medicine and industry. 1.3. Nonlinear phenomena in particle accelerators. 1.4. Acceleration and guiding of charged particles. 1.5. Accelerator types. 1.6. How to build a synchrotron accelerator. 1.7. Synchrotron radiation. 1.8. A short guide to accelerator bibliography --
2. Equations of motion. 2.1. Equations of motion in the transverse plane. 2.2. The design orbit and its stability. 2.3. Focusing properties of pairs of quadrupoles. 2.4. Longitudinal motion --
3. Introduction to the qualitative theory of nonlinear differential equations. 3.1. Phase space, fixed points and stability. 3.2. Floquet theory. 3.3. Poincare maps. 3.4. Maps of the plane. Homoclinic and heteroclinic orbits. 3.5. Normal forms for two-dimensional conservative maps. 3.6. Tune, tune shift and resonance --
4. Dynamics and stability of guiding and focusing. Linear optics of synchrotrons. 4.1. Transfer matrices, Poincare maps and integrability of the equations of motion. 4.2. The Courant and Snyder beta function. 4.3. Invariants, emittance, beam envelope and admittance. 4.4. Simple examples of synchrotron design. 4.5. Off-momentum motion. The dispersion function. 4.6. Focusing-defocusing (FD) and focusing-bending-defocusing (FBD) basic cells. 4.7. Chromaticity and chromatic correction. 4.8. Linear field errors. 4.9. The design of a synchrotron --
5. Nonlinear motion in the transverse plane: sextupoles. 5.1. Nonlinear equations of motion in the thin lens approximation. 5.2. Tracking simulations. 5.3. Chromatic correction. 5.4. Beam lines with one sextupolar error. 5.5. Coupled motion in the two transverse directions --
6. The beam-beam interaction. 6.1. Equations of motion for the beam-beam effect. 6.2. The general Poincare map for localized interactions. 6.3. The beam-beam force. 6.4. Dynamics of the linearized beam-beam Poincare map. 6.5. The nonlinear beam-beam map. 6.6. Beam-beam tune shift.
Series Title: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 23.
Responsibility: Rui Dilão, Rui Alves-Pires.

Abstract:

In this introductory course to accelorator physics, new concepts of dynamical systems developed since the 1970s give the theoretical setting to analyze the stability of particle beams in  Read more...

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