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Edwards D.A., Syphers M.J. — An introduction to the physics of high energy accelerators |
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Предметный указатель |
Accelerating multicell 29
Accelerating station 31
Accelerating structure 28
Action-angle variables 135
Admittance 79
Alternating gradient focussing 59
Amplitude function 75 101
Amplitude injection mismatch 232—237 265—266
Amplitude perturbation 96
Beam breakup 199
Beam cooling 253
Beam cooling electron 253 268
Beam cooling longitudinal stochastic 258
Beam cooling mixing 257
Beam cooling momentum stacking 260
Beam cooling stochastic 253
Beam cooling transverse stochastic 253
Beam cooling Van der Meer method 260
Beam distribution, Gaussian 81 263
Beam size 90
Beam-gas scattering 249
Beamstrahlung 282
Betatron 22
Betatron oscillation 22 57
Betatron oscillation, adiabatic damping 83—85
Betatron oscillation, coupled 144
Betatron oscillation, equation of motion 66—70
Betatron oscillation, equation of motion, closed form solution 72—75
Betatron oscillation, equation of motion, piecewise method of solution 71
Betatron oscillation, phase advance 75—76
Betatron oscillation, tune 77
Brightness 11
Bucket 36
Bucket area 45
Bucket stationary 37 45 55
Bunch 36
Canonical transformation 130
Central limit theorem 264 278
Chaos 55 109
Charge density multipole coefficient 193
Chromaticity 86 96—98 203
Chromaticity adjustment 98
Chromaticity natural 98
Classical radius 175
Closed orbit 91—93
Closed orbit three bump adjustment 104
Cockcroft — Walton accelerator 22
Coherent tune shift 179
Compaction factor 89
Correction magnet system 126
Coulomb scattering 249
Coulomb scattering multiple 250
Coupled harmonic oscillator 145
Coupled harmonic oscillator, eigenfrequency 146
Coupled harmonic oscillator, normal modes 145
Coupling, transverse 144
Coupling, transverse eigenfrequencies 159
Coupling, transverse eigentunes 152
Coupling, transverse linear 144
Coupling, transverse nonlinear 144 160
Coupling, transverse tune separation 153—154
Courant — Snyder invariant 78
Courant — Snyder parameters 74 101
Decoherence 225
Diffusion constant 240
Diffusion equation 238
Disk-loaded wave guide 30
Dispersion function 85—91 171
Dispersion function mismatch 107 231 265
dispersion relation 207—208 210 219
Dynamic aperture 108
Eddy currents 112
Electrostatic accelerator 19
Electrostatic septum 122
Emittance, dilution factors 238 265
Emittance, growth 221
Emittance, longitudinal 45 55
Emittance, normalized transverse 85
Emittance, transverse 80
Energy, rest 12
Energy, total 12
Equation of motion, general 4
Extraction 122 143
Field index 59
Filamentation 81 225
Fixed point, stable and unstable 36
Floquet transformation 111
Focussing strong 59—63
Focussing weak 59 99
FODO lattice 65 93
Fokker — Planck equation 259
Gradient 61 66
Gradient error 94
Hamilton's equations 120 129
Hamilton's equations, matrix form 155
Hamiltonian 129
Hamiltonian relativistic 131
Harmonic number 33 36
Hill's equation 72 87
Ideal particle 30—31
Images magnetic 180
Images, method of 178
Impedance 185 197
Impedance longitudinal 186 198 218
Impedance space charge 185
Impedance transverse 298
Incoherent tune shift 176
Injection mismatch 222
Instabilities, coherent 172 180 199
Instabilities, coherent beam breakup 199
Instabilities, coherent frequency spread 215
Instabilities, coherent head-tail 203
Instabilities, coherent Landau damping 212 215 219
Instabilities, coherent macroparticle model 199
Instabilities, coherent negative mass 180 209
Instabilities, coherent strong head-tail 201
Instabilities, coherent threshold 203
Keil — Schnell criterion 211
Kilpatrick criterion 54
Landau damping 212 215 219
Larmor formula 5 270
Lattice 63
Linear accelerator (Linac) 18
Livingston plot 2
Longitudinal oscillation see "Synchrotron oscillation"
Lorentz contraction 6
Lorentz transformation 5
Lorentz transformation of electromagnetic fields 7
luminosity 8 16—17
Magnet bend (dipole) 14
Magnet quadrupole 15
Magnetic rigidity 61
| Magnetic septum 122
Matrix of transverse motion 61
Matrix of transverse motion, eigenvalue equation 64
Matrix of transverse motion, eigenvalues 63
Matrix of transverse motion, eigenvectors 63
Matrix of transverse motion, stability condition 64
Matrix of transverse motion, unimodularity 64
Maxwell's equations 4
Momentum compaction factor 89
Momentum dispersion function see "Dispersion function"
Momentum stacking 260
Multipoles see "Nonlinear magnetic fields"
Negative mass instability 180 209
Nonlinear magnetic fields 108
Nonlinear magnetic fields, multipole coefficients 111
Nonlinear magnetic fields, multipole expansion 111 166
Nonlinear magnetic fields, random errors 115
Nonlinear magnetic fields, systematic errors 115
Off-momentum particle 85
Panofsky — Wenzel theorem 199
Paraxial approximation 60
Phase focussing 18 23
Phase space dilution 81
Phase stability principle 30
Point transformation 130
Quality factor Q 25 27
Radiated power 270
Radiated power, longitudinal acceleration 271
Radiated power, transverse acceleration 270
Radiation length 251
Radiofrequency noise 246
Radius of curvature 60
Reduced phase 110 161
Reference orbit 66
Relativistic charge, electromagnetic fields of 187
Resonance 110
Resonance difference 150 168
Resonance first integral invariant 168
Resonance half-integer 95
Resonance Hamiltonian treatment 138
Resonance integer 94
Resonance islands 109
Resonance lines 169
Resonance nonlinear 115 179
Resonance sum 115 150 160 168
Resonance third-integer 115 138
Resonance width 121
Resonant cavity 24
Resonant cavity ohmic heating 26
Resonant cavity pillbox 24
Resonant cavity tunability 28
Resonant extraction 122 143
Ribbon beam 281
Robinson's theorem 276—277
Sector magnet 90
Separated function lattice 93
Separatrix 36 39 109 121
Shunt impedance 27
Side-coupled cavity 29
Skew multipole 167
Skew quadrupole 147
Skew quadrupole, matrix 148 153
Skin depth 26 54 191
Slip factor 32 35 41
Space charge 173
Space charge due to Gaussian beam 174
Space charge due to uniform cylindrical beam 173
Space charge equation of motion 175
Space charge impedance 185
Space charge longitudinal field 181 183 189
Space charge tune shift 176 215—216
Spring constant 72
Stability longitudinal 34
Stability transverse 58
Steering error 91 103—104 228
Stopband 95 142
Strong focussing 59—63
Surface resistivity 26 54
Symplectic condition 156
Symplectic conjugate 158
Synchronous energy 35
Synchronous particle 33
Synchronous phase 33
Synchronous phase, jump at transition 41
Synchrotron 18
Synchrotron oscillation 30
Synchrotron oscillation, adiabatic damping 41—44
Synchrotron oscillation, difference equations of motion 34
Synchrotron oscillation, differential equations 37
Synchrotron oscillation, first integral 38
Synchrotron oscillation, linearized motion 39
Synchrotron oscillation, stable phase range 54
Synchrotron oscillation, tune 39
Synchrotron radiation 269
Synchrotron radiation characteristic photon energy 279
Synchrotron radiation characteristic time 273
Synchrotron radiation critical energy 280
Synchrotron radiation damping 273
Synchrotron radiation energy loss per turn 272
Synchrotron radiation energy spread and beam size 278
Synchrotron radiation horizontal damping time 277
Synchrotron radiation longitudinal damping time 276
Synchrotron radiation power spectrum 280
Synchrotron radiation quantum fluctuations 277
Synchrotron radiation radiated power 272
Synchrotron radiation sources 10
Synchrotron radiation vertical damping time 274
Thin lens approximation 60
Three-bump orbit correction 104
Time dilation 6
Transit time factor 25
Transition crossing 46
Transition energy 32 41 181
Transverse oscillation see "Betatron oscillation"
Tune plane 169
Tune shift 95
Tune shift beam-beam 177 216
Tune shift coherent 179 217
Tune shift conducting cylindrical pipe 180
Tune shift conducting parallel planes 179
Tune shift incoherent 179
Tune shift long range 217
Tune shift octopole 142
Tune shift space charge 176 215—216
Undulator 282
Van de Graaff accelerator 22
Vlasov equation 206—207
Wake field 186 194
Wake field, resistive wall 189
Wake function 197
Weak focussing 59 99
wronskian 155
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