Index 239
Pareto front, 174, 205
Particle swarm optimization (PSO),
161, 188, 203, 223
Periodicity, 54
Phase slippage factor, 24
Poisson bracket, 56
Powell’s method, 183, 193, 195
Principal component analysis (PCA),
129, 131
Process variable (PV), 175
Quadrupole magnet, 4, 8, 9, 12, 21,
92, 93
Quadrupole scan, 93
Quantum excitation, 62, 66
Quasi-Newton methods, 180
Radiation damping, 62, 66
Radiation integrals, 66
Random search, 186
Resonance basis
coordinates, 157
Hamiltonian, 53
Resonance condition, 54
Resonance driving term (RDT), 57,
151, 153, 163, 219
RF bucket, 28
bucket area, 28
bucket height, 28
RF cavity, 62
RF focusing, 23
Robust conjugate direction search
(RCDS), 170, 193, 197, 207,
223
Robust line optimizer, 197
Robust simplex (RSimplex), 193, 198
Rosenbrock function, 201
Second order blind identification
(SOBI), 138
Second-order moment matrix, 22, 66,
93
Separatrix, 27
Sextupole magnet, 4, 8, 42, 50, 55,
221
Simulated annealing, 186
Singular value decomposition (SVD),
70, 77, 78, 215, 222
spatial patterns, 131, 133, 134
temporal patterns, 131, 133
Skew quadrupole, 42, 44, 158, 213
Stability condition
longitudinal, 26
transverse, 16
Stationary bucket, 29
Steepest descent, see
Gradient-descent
Stopband integrals
half-integer, 38
integer, 35, 82
Strong focusing principle, 4, 15
Symplectic integration, 60
Symplecticity, 14
Synchrotron motion, 26
Synchrotron tune, 26, 29
Taylor map, 15
Thin-lens limit, 12
Three-BPM method, 128
N-BPM, 129
Touschek lifetime, 214, 225
Trajectory, 69
Transfer map, 14, 56
Transfer matrix, 13, 64, 95
drift space, 10
edge focusing, 12
focusing dipole, 11
quadrupole, 12
sector dipole, 11
skew quadrupole, 44
Tune diffusion, 65
Tune shift with amplitude, 54,
163
Turn-by-turn BPM, 73, 93
Under-constrained direction, 111
Vector potential, 5, 8, 9
Weak focusing, 11