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Collective Effects and Beam Measurements in Particle Accelerators. beam diagnostics and fundamental limitations to the performance of high-intensity accelerators. http://ab-abp-rlc.web.cern.ch/ab-abp-rlc/. See also slides on Measurements, ideas, curiosities. Wakefield for a pill-box cavity.

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collective effects and beam measurements in particle accelerators

Collective Effects and Beam Measurements in Particle Accelerators

beam diagnostics and fundamental limitations to the performance of high-intensity accelerators

http://ab-abp-rlc.web.cern.ch/ab-abp-rlc/

See also slides onMeasurements, ideas, curiosities

wakefield for a pill box cavity
Wakefield for a pill-box cavity
  • Animation showing a bunch of charged particles moving on the cavity axis and the corresponding electric field lines computed by the program ABCI
  • Courtesy Andreas Wagner http://awagner.home.cern.ch/awagner/

Collective Effects and Beam Measurements

trisim3d simulation of a lep bunch e 22 gev q s 0 092 i 0 3 ma
TRISIM3D simulation of a LEP bunchE = 22 GeV, Qs = 0.092, I = 0.3 mA
  • 3-dimensional computer simulation of single bunch collective effects in particle accelerators
  • top and side view of the particle distribution turn by turn, over 60 turns
  • Courtesy Andreas Wagner http://awagner.home.cern.ch/awagner/

Collective Effects and Beam Measurements

cern linac4 layout and parameters
CERN Linac4layout and parameters

160MeV

95keV

3MeV

3MeV

40MeV

90MeV

H-

RFQ

CHOPPER

DTL

CCDTL

SCL

Radio

Frequency

Quadrupole

352 MHz

6 m

1 Klystron

1 MW

Chopper

352 MHz

3.6 m

Drift Tube

Linac

352 MHz

13.4 m

3 tanks

5 klystrons

4 MW

Cell-Coupled Drift Tube

Linac

352 MHz

25.3 m

24 tanks

8 klystrons

6.5 MW

Side Coupled

Linac

704 MHz

28 m

20 tanks

4 klystrons

12 MW

Duty cycle:

0.1% phase 1 (Linac4)

3-4% phase 2 (SPL)

(RF design: 15%)

4 different structures, (RFQ, DTL, CCDTL, SCL) 2 frequencies

Total Linac4:

80 m,

18 klystrons

current: 40 mA (avg. in pulse), 65 mA (bunch)

Courtesy A. Lombardi

Collective Effects and Beam Measurements

instabilities in a linac
Instabilities in a Linac

Courtesy A. Lombardi

Transverse tune depression

=Longitudinal to transverse phase advance

Collective Effects and Beam Measurements

intra beam scattering simplified formulae by k bane epac 2002
Intra-Beam Scattering (simplified formulae by K. Bane, EPAC 2002)
  • For the LHC, the average dispersion invariant is <Hx>~0.03 m, bav~100 m, and the Coulomb logarithm (log)~24
  • Note that the transverse IBS growth rate is about proportional to the particle density in the 6D phase space Nb/(e2szsd)

IBS growth times for long super-bunches in the LHC as a function of the rms momentum spread sd

Collective Effects and Beam Measurements