Contents
Foreword
xxv
Preface
xxvii
Author
xxix
1
Basics of Accelerators and of the Art of Inventiveness
1

1.1 Accelerators and society
1

1.2 Acceleration of what and how
2
1.2.1
Uses, actions and the evolution of accelerators
3

1.2.2
Livingston plot and competition of technologies
4

1.3 Accelerators and inventions
6
1.4 How to invent
8

1.4.1
How to invent — evolution of the methods
8

1.5 TRIZ method
9

1.5.1
TRIZ in action — examples
10

1.6 TRIZ method for science
13
1.7 AS-TRIZ
14

1.8 Creativity
17

2
Transverse Dynamics
21

2.1 Maxwell equations and units
21

2.2 Simplest accelerator
22

2.3 Equations of motion
24

2.3.1
Motion of charged particles in EM fields
24

2.3.2
Drift in crossed E × B fields
25

2.3.3
Motion in quadrupole fields
25

2.3.4
Linear betatron equations of motion
26

2.4 Matrix formalism
27
2.4.1
Pseudo-harmonic oscillations
27

2.4.2
Principal trajectories
27

2.4.3
Examples of transfer matrices
30

2.4.4
Matrix formalism for transfer lines
30

2.4.5
Analogy with geometric optics
31

2.4.6
An example of a FODO lattice
32

2.4.7
Twiss functions and matrix formalism
33

2.4.8
Stability of betatron motion
33

2.4.9
Stability of a FODO lattice
34

2.4.10 Propagation of optics functions
34

2.5 Phase space
35

2.5.1
Phase space ellipse and Courant–Snyder invariant
35

2.6 Dispersion and tunes
36

ix