Principles of Free-Electron Lasers
At the time that we decided to begin work on this book, several other volumes on the free-electron laser had either been published or were in press. The earliest work of which we were aware was published in 1985 by Dr T. C. Marshall of Columbia University
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Accelerators electrostatic accelerator 16, 17, 22 induction Iinac 16, 17 microtron 16, 17 modulator 16, 17 pulse-line accelerator 16, 17, 176, 205 radio frequency linac 3, 16, 17, 23, 24 storage ring 3, 16, 17, 393 Adiabatic injection one-dimensional analysis 158, 165 three-dimensional analysis 178, 210, 224-4 Amplifiers 15, 16 Applications biomedical 22 fusion 25-6 industrial 25 research 24 Axial guide field effects betatron oscillations 55-60 chaos 423 Compton regime 97, 103-6, 108, 126-30, 135 efficiency 157, 173-5 electromagnetic-wave wiggler 406 experimental comparisons 148-9, 176, 240-1 gradient drifts 66 Group I and II orbits 43, 47, 54-5 guiding-centre limit 57 helical wiggler 42-60 Larmor oscillations 51, 55-60 negative-mass effects 46, 63, 110, 198-20 I, 239 one-dimensional analysis 42-51
orbits 42-60 gain 97, 101, 103-6, 108, 135, 143, 171 magnetic resonance 19,43, 52 pendulum equation 86, 134 planar wiggler 62-5, 126-30 Raman regime 101, 103-6, 108, 126-30, 143 saturation 157, 173-5 three-dimensional analysis 52-60, 130-48 Beam-plasma waves axial guide field effects 101 Raman regime 104-7 stabil ity 10 1 Beam quality criteria 11, 79, 81, 98, 111,114,123,184,194,200, 207, 227, 230 Beat waves upper and lower beat waves 120, 216-18 pendulum equation 7, 86, 134, 155,218,250,285,413,418 Betatron frequency 56, 60, 70 oscillation 55-7, 60, 67, 70, 196, 220,264-72 period 221, 266 Biomedical applications 22 Bounce motion 251 Bounce period 251 Boundary conditions 132, 141, 178-9, 210 Brightness 11 Canonical momenta helical wiggler 42, 95, 130, 425-6
444 Index planar wiggler 61, 117, 119-20 Canonical transformation 425-6 Cavity detuning 378 Chaos canonical transformation 425-6 electron slippage 433 integrable trajectories 427-9,431 oscillators 431-9 pulsed injection 438 return maps 431 self-field effects 423-9 single-particle orbits 425 storage rings 439 Compton regime electromagnetic-wave wiggler 417-18 harmonics 121, 123, 125, 135,257, 260-1 helical wiggler 8-9, 104-5, 108, 113-14, 135 high-gain 9, 104-5, 108, 113-14, 123, 125, 130 linear gain 8-9, 97, 104-5, 108, 114, 121, 123, 125, 130, 135 low-gain 8, 97, 121, 135 nonlinear 12, 157, 252-3 one-dimensional analysis 97, 103-4, 108, 113-14, 121, 123, 125, 130 planar wiggler 121, 123, 125, 130 saturation efficiency 10, 154, 205, 232 strong-pump regime 105 thermal effects 113-14, 125 three-dimensional analysis 135, 143-8 transition to Raman regime 106-7 Collective regime, see Raman regime Continuity equation 127 Cyclotron mode 103-5 Cyclotron motion 50-1,55-7,60,63, 130 Cylindrical waveguide cutoffs 132, 179 dynamical equations 183, 187 fields 132, 179 high-gain regime 136 low-gain regime 135 Poynting flux 188 Detuning parameter 80-1, 97, 105, 120, 135, 283
Diffraction 282, 289-90 Dispersion equations Compton regime 101-4, 107, 123, 129-30 helical wiggler 10 1-7, 113, 143 one-dimensional limit 101-7, 113, 123, 125, 129-30 planar wiggler 123, 125, 129-30 Raman regime 101-4, 106-8, 123, 129-30 thermal regime 113, 125 three-dimensional limit 143 Distribution funct
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