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Edwards D.A., Syphers M.J. — An introduction to the physics of high energy accelerators
Edwards D.A., Syphers M.J. — An introduction to the physics of high energy accelerators



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Название: An introduction to the physics of high energy accelerators

Авторы: Edwards D.A., Syphers M.J.

Аннотация:

The first half deals with the motion of a single particle under the influence of electronic and magnetic fields. The basic language of linear and circular accelerators is developed. The principle of phase stability is introduced along with phase oscillations in linear accelerators and synchrotrons. Presents a treatment of betatron oscillations followed by an excursion into nonlinear dynamics and its application to accelerators. The second half discusses intensity dependent effects, particularly space charge and coherent instabilities. Includes tables of parameters for a selection of accelerators which are used in the numerous problems provided at the end of each chapter.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 304

Добавлена в каталог: 17.11.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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