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Collective Effects and Beam Measurements in Particle AcceleratorsPowerPoint Presentation

Collective Effects and Beam Measurements in Particle Accelerators

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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 onMeasurements, ideas, curiosities

Wakefield for a pill-box cavity Accelerators

- 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 AcceleratorsE = 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 Acceleratorslayout 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 Accelerators

Courtesy A. Lombardi

Transverse tune depression

=Longitudinal to transverse phase advance

Collective Effects and Beam Measurements

Intra-Beam Scattering Accelerators(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

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