xii Contents
6.4.2
Laser plasma acceleration in nonlinear regime
116

6.4.3
Wave breaking
116

6.4.4
Importance of laser guidance
117

6.5 Betatron radiation sources
118

6.5.1
Transverse fields in the bubble
118

6.5.2
Estimations of betatron radiation parameters
119

6.6 Glimpse into the future
120

6.6.1
Laser plasma acceleration — rapid progress
120

6.6.2
Compact radiation sources
121

6.6.3
Evolution of computers and light sources
122

6.7 Plasma acceleration aiming at TeV
122

6.7.1
Multi-stage laser plasma acceleration
122

6.7.2
Beam-driven plasma acceleration
123

6.8 Laser-plasma and protons
124

7
Light Sources
127

7.1 SR properties and history
127

7.1.1
Electromagnetic spectrum
127

7.1.2
Brief history of synchrotron radiation
128

7.2 Evolution and parameters of SR sources
129

7.2.1
Generations of synchrotron radiation sources
129

7.2.2
Basic SR properties and parameters of SR sources
130

7.3 SR source layouts and experiments
131

7.3.1
Layout of a synchrotron radiation source
132

7.3.2
Experiments using SR
133

7.4 Compton and Thomson scattering of photons
135

7.4.1
Thomson scattering
136

7.4.2
Compton scattering
136

7.4.3
Compton scattering approximation
138

7.4.4
Compton scattering characteristics
138

7.5 Compton light sources
139

8
Free Electron Lasers
143

8.1 FEL history
143

8.2 SR from bends, wigglers and undulators
144

8.2.1
Radiation from sequence of bends
144

8.2.2
SR spectra from wiggler and undulator
145

8.2.3
Motion and radiation in sine-like field
146
8.3 Basics of FEL operation
147

8.3.1
Average longitudinal velocity in an undulator
147

8.3.2
Particle and field energy exchange
148

8.3.3
Resonance condition
149

8.3.4
Microbunching conceptually
149

8.4 FEL types
150

8.4.1
Multi-pass FEL
150

8.4.2
Single-pass FEL
151

8.5 Microbunching and gain
152

8.5.1
Details of microbunching
152

8.5.2
FEL low-gain curve
155
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