238 Index
Gauss-Newton method, 103
Gaussian process, 190
optimizer, 195
Generating function, 56
resonance basis, 57
Genetic algorithms (GA), 187
NSGA-II, 187, 218
Simulated binary cross-over
(SBX), 187
Golden section method, 185, 195, 197
Gradient descent method, 179, 193
Gradient-free methods, 181
Hamilton’s equations, 7
Hamiltonian, 5, 6, 61
linear motion, 52
resonance basis, 53
synchrotron motion, 27
Hanning window, 126
Harmonic analysis, 122
Harmonic number, 24
Hessian matrix, 179, 180, 183, 184
Independent component analysis
(ICA), 122, 130, 137, 144,
155
Interpolated FFT, 65, 126
Jacobian matrix, 113, 215
Kicker bump matching, 210
Lattice, 4, 13
model, 59
Least-square method, 77, 102, 143,
156
Levenberg-Marquardt method, 114,
149, 180
Lie map, 55, 56
Linac-to-booster (LTB), 207
Linear coupling, 45, 213
coefficient, 48
correction, 154
difference resonance, 48, 157
emittance ratio, 215
sum resonance, 48, 157
Linear optics, 9, 13
measurement, 93, 94
Local momentum aperture (LMA),
39, 55, 65, 219, 225
LOCO, 99, 143, 144, 152
Machine learning (ML), 189
Magnetic rigidity, 6
Manual tuning, 170
MG-GPO, 192
Misalignment, 63
Model independent analysis (MIA),
122, 129
Momentum compaction factor, 24, 43
Momentum spread, 40
Multi-bend achromat (MBA), 225
Multi-objective genetic algorithm
(MOGA), 161
Multi-objective optimization, 174
Multipole expansion of magnetic
fields, 8
Mutation, 187, 192
NAFF, 65, 125
Nelder-Mead simplex method, 125,
182, 193, 194
Newton method (optimization),
180
Non-dominated sorting, 174, 188,
189
Nonlinear resonance, 54, 55, 65, 219
Normal form, 57
Normal mode, 46, 134
NSGA-II, 203
Off-axis injection, 220
Optics mismatch, 23
Orbit bump, 89
Orbit correction, 4
HARMON, 70, 86
MICADO, 70, 87
weights on BPMs, 84
with SVD, 78
Orbit corrector, 73
Orbit response matrix, 74, 77, 93,
97–99, 154, 215