x Contents
2.6.1
Dispersion
36

2.6.2
Betatron tunes and resonances
38

2.7 Aberrations and coupling
38

2.7.1
Chromaticity
38

2.7.2
Coupling
39

2.7.3
Higher orders
39

3
Synchrotron Radiation
43

3.1 SR on the back of an envelope
43

3.1.1
SR power loss
43

3.1.2
Cooling time
45

3.1.3
Cooling time and partition
46

3.1.4
SR photon energy
46

3.1.5
SR — number of photons
47

3.2 SR effects on the beam
48
3.2.1
SR-induced energy spread
48

3.2.2
SR-induced emittance growth
49

3.2.3
Equilibrium emittance
50

3.3 SR features
51

3.3.1
Emittance of single radiated photon
51

3.3.2
SR spectrum
52

3.3.3
Brightness or brilliance
52

3.3.4
Ultimate brightness
53

3.3.5
Wiggler and undulator radiation
54

3.3.6
SR quantum regime
55

4
Synergies between Accelerators, Lasers and Plasma
57

4.1 Create
58

4.1.1
Beam sources
58

4.1.2
Lasers
60

4.1.3
Plasma generation
62

4.2 Energize
63

4.2.1
Beam acceleration
63

4.2.2
Laser amplifiers
63

4.2.3
Laser repetition rate and efficiency
64

4.2.4
Fiber lasers and slab lasers
64

4.2.5
CPA — chirped pulse amplification
65

4.2.6
OPCPA — optical parametric CPA
66

4.2.7
Plasma oscillations
67

4.2.8
Critical density and surface
68

4.3 Manipulate
68

4.3.1
Beam and laser focusing
68

4.3.2
Weak and strong focusing
69

4.3.3
Aberrations for light and beam
69

4.3.4
Compression of beam and laser pulses
71

4.3.5
Beam cooling
72

4.3.6
Optical stochastic cooling
73

4.4 Interact
73