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24.07.2017 1 Introduction to Accelerator Physics Part 1 Pedro Castro / Accelerator Physics Group (MPY) Introduction to Accelerator Physics DESY, 24th July 2017 Pedro Castro | Introduction to Accelerator Physics | 24 th July 2017 | Page 2 DESY CERN

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Page 1: Introduction to Accelerator Physics · 24.07.2017 1 Introduction to Accelerator Physics Part 1 Pedro Castro / Accelerator Physics Group (MPY) Introduction to Accelerator Physics DESY,

24.07.2017

1

Introduction to Accelerator PhysicsPart 1

Pedro Castro / Accelerator Physics Group (MPY)Introduction to Accelerator PhysicsDESY, 24th July 2017

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 2

DESY CERN

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 3

Applications of accelerators

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 4

Applications of Accelerators (1)

Particle colliders for High Energy Physics (HEP) experiments

Fixed target experiments

Two beams collider experiments

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 5

Applications of Accelerators (1)

Particle colliders for High Energy Physics experiments

Example: the Large Hadron Collider (LHC) at CERN

superconducting magnets(inside a cryostat)

built between 2001 and 2009Higgs discovery: July 2012

8.6 km

Mont BlancLake Geneva Geneva

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 6

> About 120 accelerators for research in “nuclear and particle physics”

Worldwide …

http://en.wikipedia.org/wiki/List_of_accelerators_in_particle_physics

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 7

Applications of Accelerators (2)

Light sources for biology, physics, chemistry… experiments

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 8

Applications of Accelerators (2)

B

Light sources for biology, physics, chemistry… experiments

Electromagnet

• structural analysis of crystalline materials• X-ray crystallography (of proteins)• X-ray microscopy• X-ray absorption (or emission) spectroscopy• …

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 9

7 GeV

Example: Positron-Elektron-Tandem-Ring-Anlage (PETRA)‘positron-electron tandem ring accelerator’ at DESY

built between 1976 and 1978HEP experiments: 1978-1986

JADE CELLO,PLUTO

TASSOMARK J

0.5 GeVe-/e+

e+e- collisionsat 2 x 19 GeV

gluon discovery: 1979

2.3 km long

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 10

7 GeV

Example: Positron-Elektron-Tandem-Ring-Anlage (PETRA)‘positron-electron tandem ring accelerator’ at DESY

built between 1976 and 1978HEP experiments: 1978-1986gluon discovery: 1979

40 GeVprotons

12 GeVe-/e+

HERA

protons

pre-accelerator for HERA 1987-2007synchrotron radiation since 1987

0.5 GeVe-/e+2.3 km long

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 11

Example: Positron-Elektron-Tandem-Ring-Anlage (PETRA)‘positron-electron tandem ring accelerator’ at DESY

e-/e+

built between 1976 and 1978HEP experiments: 1978-1986gluon discovery: 1979

pre-accelerator for HERA 1987-2007synchrotron radiation since 1987PETRA III since 2009

Max von Laue hall300 m

2.3 km long

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 12

e-

e-

photons

14 beamlines30 exp. stations

Max von Laue hall

http://photon-science.desy.de/facilities/petra_iii/beamlines/index_eng.html

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 13

Example: Positron-Elektron-Tandem-Ring-Anlage (PETRA)‘positron-electron tandem ring accelerator’ at DESY

pre-accelerator for HERA 1987-2007synchrotron radiation since 1987PETRA III since 2009PETRA III Extension from 2014

e-/e+

built between 1976 and 1978HEP experiments: 1978-1986gluon discovery: 1979

2.3 km long

hall nord

hall east

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 14

> About 120 accelerators for research in “nuclear and particle physics”

> About 70 electron storage rings and electron linear accelerators used as light sources (so-called ‘synchrotron radiation sources’)

Worldwide …

http://en.wikipedia.org/wiki/List_of_synchrotron_radiation_facilities

http://en.wikipedia.org/wiki/List_of_accelerators_in_particle_physics

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 15

For radioisotope production

Applications of Accelerators (3)

For radiotherapy and radiosurgery:• x-rays and gamma-rays

• ions (from protons to atoms with atomic number up to 18, Argon)

• neutrons

proton beam + stable isotopetransmutation

radioactive isotope

Accelerators in medicine

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 16

For example:

Applications of Accelerators (3)

18 MeV proton acceleratorcyclotron

Accelerators in medicine

For radioisotope production

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 17

For example: p

Oxygen-18 + positron

97% of decays

Applications of Accelerators (3)

18 MeV proton accelerator Oxygen-18 (stable)target

Fluorine-18 (half-life time = 110 min.)

(transmutation)

Accelerators in medicine

For radioisotope production

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 18

For example: p

Fluorine-18 (half-life time = 110 min.)

Applications of Accelerators (3)

18 MeV proton accelerator Oxygen-18target

Fludeoxyglucose (18F)

(transmutation)

Accelerators in medicine

For radioisotope production

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Positron EmissionTomography (PET)

Applications of Accelerators (3)

detectors

!

!

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 20

PET

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Positron EmissionTomography (PET)

Applications of Accelerators (3)

detectors

!

!

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 22

> About 120 accelerators for research in “nuclear and particle physics”

> About 70 electron storage rings and electron linear accelerators used as light sources (so-called ‘synchrotron radiation sources’)

Worldwide …

> More than 7,000 accelerators for medicineradiotherapy (>7,500), radioisotope production (200)

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For industrial applications:

Applications of Accelerators (4)

approx. numbers from 2007 (worldwide)

ApplicationIon implantation ~ 9500Electron cutting and welding ~ 4500Electron beam and x-ray irradiators ~ 2000Ion beam analysis (including AMS) ~ 200Radioisotope production (including PET) ~ 900Nondestructive testing (including security) ~ 650Neutron generators (including sealed tubes) ~ 1000

with energies up to 15 MeV

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 24

For industrial applications:an example: electron beam welding

‘deep welding effect’

up to 15 cm

acceleration up to 60-200 keV

Applications of Accelerators (4)

magnets as‘focusing lenses’as well as‘deflectors’

electron beam

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> About 120 accelerators for research in “nuclear and particle physics”

> About 70 electron storage rings and electron linear accelerators used as light sources (so-called ‘synchrotron radiation sources’)

> More than 7,000 accelerators for medicineradiotherapy (>7,500), radioisotope production (200)

ion implantation (>9,000) , electron cutting and welding (>4,000) …> More than 18,000 industrial accelerators

Worldwide …

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 26

> About 120 accelerators for research in “nuclear and particle physics”

> About 70 electron storage rings and electron linear accelerators used as light sources (so-called ‘synchrotron radiation sources’)

> More than 7,000 accelerators for medicineradiotherapy (>7,500), radioisotope production (200)

ion implantation (>9,000) , electron cutting and welding (>4,000) …> More than 18,000 industrial accelerators

< 1%

Worldwide …

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 27

> About 120 accelerators for research in “nuclear and particle physics”

> About 70 electron storage rings and electron linear accelerators used as light sources (so-called ‘synchrotron radiation sources’)

> More than 7,000 accelerators for medicine

> More than 18,000 industrial acceleratorsion implantation (>9,000) , electron cutting and welding (>4,000) …

radiotherapy (>7,500), radioisotope production (200)

Worldwide …

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 28

Many millions of television sets, oscilloscopes using CRTs (Cathode Ray Tube)

Applications of Accelerators (5)

TV

oscilloscope

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Many millions of television sets, oscilloscopes using CRTs (Cathode Ray Tube)

Applications of Accelerators (5)

acceleration

magnets as ‘focusing lenses’as well as ‘deflectors’

25 frames / s

625lines

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 30

Applications of Accelerators (6)

X-ray tubesDC high voltage (20-150 kV)

VACUUM

braking radiationor bremsstrahlung

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Working with accelerators in the control room …

…requires:

- a lot of (accelerator) physics knowledge

- a lot of (accelerator) engineering knowledge

- some Sherlock Holmes’ skills

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 32

The case begins…

Accelerator Control RoomHamburg, DESYSat. 12th June 20102 o’clock a.m.PETRA runs with a beam

current of 75 mA

02:24 a.m.: beam lost

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Circular accelerators: the synchrotron

vacuum chamberbending magnet

accelerating device

injector

straight sectionsbeam

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 34

Dipole magnet

beam

! dipole magnets: tomorrow

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Circular accelerators: the synchrotron

vacuum chamberbending magnet

accelerating device

injector

straight sections

! radiofrequency acceleration: tomorrow

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 36

Low Energy Antiproton Ring (LEAR) at CERN (built in 1982)

Circular accelerators: the synchrotron

vacuum chamber

accelerating device

bending magnet

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. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

B (perpendicular)

R

Circular accelerators: the synchrotron

charge velocity

of the particle

magnetic field

momentum

"# $ %&#%' $ ()# * +

+ , )# → " $ ()+

(circular motion) "# , )# → " $ /)0

1(+ $ /)

1 → 1 $ /)(+

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 38

vacuum chambermagnet

accelerating device

injector

straight sections

Circular accelerators: the synchrotron

(circular motion)

+ , )# → " $ ()+

"# , )# → " $ /)0

1(+ $ /)

1 → 1 $ /)(+ $ 2345'64'

! increase B synchronouslywith & $ /) of particle

1

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DESY (Deutsches Elektronen Synchrotron)

DESY: German electron synchrotron

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 40

DESY (Deutsches Elektronen Synchrotron)

DESY: German electron synchrotron, 1964, 7.4 GeV

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The Main Accelerator Control Room

beam current [mA]

time

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost

02:24 a.m.: beam lost

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 42

PETRA runs with beam around the clock

17th July 2015 16:45

[mA]

building 25f, HASYLAB

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PETRA runs with beam around the clock

17th July 2015 16:45

[mA]

24 hours

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 44

An example of PETRA running with ‘top-up’ modus on/off

7~1.3hours

top-up modus

21st July 2015 09:35 - 11:15

beam current [mA]

time

beam lifetime

< $ <=>? !

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γγγγbremsstrahlung

scattering with the Coulomb field of a gas atom→ the electron is deflected and lost inthe surrounding vacuum chamber

-

E > 6 GeVE < 6 GeV

electrons can gain or loose energy→ called Touchek effect→ depends on the density of the electronbunch

large energy loss that leads to particle loss

bunch

Beam lifetime

rest gasscattering

Coulomb scatteringbetween two electronsfrom the same bunch

The lifetime of an electron beam is mainly limited by two effects:

-

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 46

An example of PETRA running with ‘top-up’ modus on/off

7~1.3hours

top-up modus

21st July 2015 09:35 - 11:15

beam current [mA]

time

beam lifetime

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electrons injected in PETRA

‘top-up’ modus

~0.9 mA = 1%

beam current [mA]

time

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 48

What are the advantages of running in ‘top-up’ modus?

• stable intensity conditions for measurements• constant heat load on optical components (mirrors, filters, crystals…)

" stable photon beam angle and position (‘pointing stability’)" stable wavelength

• constant heat load on accelerator vacuum chamber• increased stability of all systems• diagnostics: small dynamic range

‘top-up’ modus

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The Main Accelerator Control Room

beam current [mA]

time

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost

02:24 a.m.: beam lost

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 50

Run number 4: 60 Bunches; 23rd – 30th March, 2011

magnetpower supply

power off incrate at DORIS

RF??

top-uptiming problems

RF??beam losswithout dump

RF problemsand longitudinalinstabilities

vertical beam blow up

RF circulatorwater cooling

RF??

RF circulatorwater cooling

One example of PETRA run over 7 days

Source: K. Balewski (MAC report 2011)

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http://ttfinfo.desy.de/petra/show.jsp?dir=/2010/23/11.06_n&pos=2010-06-12T02:26:30

The link to the electronic logbook:

Beam lost at 02:24 a.m.

What to do?

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 52

The Machine Protection System status from 12th June 2010 at 02:26

12th June 2010 02:26

The first suspect released: MPS is not guilty

• vacuum system ok• magnet system ok• radio-frequency ok• water cooling ok…“all systems up and running”

• vacuum system ok• magnet system ok• radio-frequency ok• water cooling ok…“all systems up and running”

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Electrons can be injected but cannot be stored !

beam current at injectionbeam current after a few turns

injection problemoraperture problem?

beamcurrent

time

500 µs ≈ 65 turns

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 54

Next suspect: injection

stored beam reference trajectory

vacuum chamber

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 55

Next suspect: injection

injected beam

stored beam

bending magnet

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 56

Next suspect: injection

dipoledipoledipole

stored beam

septumhomogeneus fieldfree field region

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 57

Next suspect: injection + accumulation

dipoledipoledipole

stored beam

septuminjected beam

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 58

Next suspect: injection + accumulation

dipoledipoledipole

stored beam

septuminjected beam

PETRAseptum

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 59

septum at the Proton Synchrotron Booster (PSB) at CERN

homogeneus fieldfree field region

beaminjected beamstored beam

Next suspect: injection + accumulation

(1)

(2)

(3)

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 60

stored beam

septum

kicker(very fast dipole)

kicker(very fast dipole)

kicker(very fast dipole)

injected beam

time

kickerfield

~20 µs

Next suspect: injection + accumulation

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 61

Electrons can be injected but cannot be stored !

beam current at injectionbeam current after a few turns

injection problemoraperture problem?

beamcurrent

time

500 µs ≈ 65 turns

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 62

Next suspect: an aperture problem

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in accelerator

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 63

Next suspect: the new octant in ‘Max von Laue hall’

e-

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 64

e-

Next suspect: the new octant in ‘Max von Laue hall’

e-beam

22.5 m

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 65

Undulator PU 10

undulator field lines

Next suspect: the new octant in ‘Max von Laue hall’

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant

+NS

NS

permanentmagnets

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 66

Undulator PU 10

Next suspect: the new octant in ‘Max von Laue hall’

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant

electrons

photons

undulator

undulator field lines

beam+N

S

NS

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Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 67

Undulator PU 10

very flat undulator vacuum chambers

undulator field lines

7 mm

9 mm

Next suspect: the new octant in ‘Max von Laue hall’

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant

beam+N

S

NS

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 68

a couple of months earlier…

vacuum chamber

Next suspect: the new octant in ‘Max von Laue hall’

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citation from the logbook: “What we have tried so far: …”

citation from the logbook: “Visual inspection of new octant: no findings”

timeof entries

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 70

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan

Next suspect: an aperture problem

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Need of focusing

beam / bunch

vacuum chambermagnet

accelerating device

injector

straight sections

pr

beam

we need to focus the beam !

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 72

Quadrupole magnets

quadrupole magnet:

B

beam

beam

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Quadrupole magnets

quadrupole magnet:four iron pole shoes of hyperbolic contour

hyperbola

x

y

xgBy ⋅−=

ygBx ⋅=

)gradient quadrupole ( 20

RIg µ

=

RB

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 74

Quadrupole magnets

xgFxgB xy ⋅−=⇒⋅−=

x

y

B

"# "#

"# $ ()# * + (Lorentz force)

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Classical mechanics: harmonic oscillator

restoring force:

" $ $%&

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 76

Quadrupole magnets

xgFxgB xy ⋅−=⇒⋅−=

ygFygB yx ⋅=⇒⋅=

focusing !

defocusing

x

y

B "'

"'

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In light optics…

defocusinglens

focusinglens

light rays

1(∗ $ 1

(*+ 1

(,$ %

(*(,

(: focal length

(light optics)(∗: systemfocal length

1(∗ $ %

(0 . 0if (* $ $(, $ (

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 78

Quadrupole magnets

QD + QF = net focusing effect:

charged particle

defocusingquadrupole(rotated 90°)

focusingquadrupole

center of quadrupoles

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Quadrupole magnets

B B

N

N

S

S

I

I

II

vertical defocusinghorizontal focusing

vertical focusinghorizontal defocusing

rotated 90°I = -I

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 80

Quadrupole magnets

QD + QF = net focusing effect:

focusingquadrupole

defocusingquadrupole

beam

y-plane:

defocusingquadrupole

focusingquadrupole

beam

x-plane:

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Quadrupole magnets

QD + QF = net focusing effect:

defocusingquadrupole

focusingquadrupole

beam

x-plane:

defocusingquadrupole

focusingquadrupole

QF QD QF QD QF QD QF QD QF QD

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 82

Circular accelerator

cell

dipolemagnet

dipolemagnet

defocusingquadrupole

focusingquadrupole

focusingquadrupole

beam

PETRA

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Circular accelerator

cell

dipolemagnet

dipolemagnet

defocusingquadrupole

focusingquadrupole

focusingquadrupole

beam

corrector dipole

corrector dipole

corrector dipole

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 84

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan

defocusingquadrupole

focusingquadrupole

QF QD QF QD QF QD QF QD QF QD

beam

Next suspect: an aperture problem

corrector dipole 184 hor. corrector dipoles194 ver. corrector dipoles

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First useful hint: aperture problem

Beam position monitor

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan13:20 a.m.: beam stored

244 beam position monitors

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 86

First useful hint: aperture problem

horizontalbeam pos.[mm]

verticalbeam pos.[mm]

N

S

EW

NENW

SESW

W N E S

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan13:20 a.m.: beam stored

2.3 km

244 monitors

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First useful hint: horizontal aperture problem

horizontalbeam pos.[mm]

verticalbeam pos.[mm]

N

S

EW

NENW

SESW

W N E S

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan13:20 a.m.: beam stored

244 monitors

radiofrequencysystems

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 88

First useful hint: horizontal aperture problem

N

S

EW

NENW

SESW

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan13:20 a.m.: beam stored

defocusingquadrupole

focusingquadrupole

QF QD QF QD QF QD QF QD QF QD

beam

corrector dipole

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First useful hint: horizontal aperture problem

horizontalbeam pos.[mm]

N

S

EW

NENW

SESW

W N E S

new octant

Hamburg, DESYSat. 12th June 2010

02:24 a.m.: beam lost07:00 a.m.: visual inspection

in new octant11:52 a.m.: start aperture scan13:20 a.m.: beam stored

after‘flattening’the orbit

244 monitors

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 90

citation from the logbook: “the problem is at the end of the new octant”

horizontal aperture problem in the new octant

second hint: vacuum pressure raise in the new octant

beam current [mA] vacuum pressure [mb]

beam current

vacuum pressure

vacuum pressure

02:24 a.m.beam lost

aperture scan+ trajectory corrections

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horizontal aperture problem in the new octant

second hint: vacuum pressure raise in the new octant

beam current [mA] vacuum pressure [mb]

beam current

vacuum pressure

vacuum pressure

02:24 a.m.

beam

60 m

PU13 PU14

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 92

endoscope

visual inspection inside the vacuum chamber…

beam

PU13 PU14

beam

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endoscope

visual inspection inside the vacuum chamber…

beam

PU13 PU14

vacuumbellows

beam beam

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 94

visual inspection inside the vacuum chamber…

vacuumbellows

RF fingers

beam

beam

an example of vaccum bellows

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the problem was found: RF fingers

beam

beam

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 96

electric field of a relativistic particle

e

) $ 00 $ 0

1

) $ 020 ≅ 1

1e

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electric field of a relativistic particle

e

1

1 $ (445=

61 $ 0071 $ 00 sin0 ; </0>0

>#>

! $ 11 $ 00

) $ 02

1?e z

;cylindrical coordinates

) $ 00 $ 0

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 98

electric field of a relativistic particle

e

1

1 $ (445=

61 $ 0071 $ 00 sin0 ; </0>0

>#>

! $ 11 $ 00

) $ 02

1?e z

! $ 10 $ 0

1 $ (445=

1>0

>#>

;cylindrical coordinates

) $ 00 $ 0

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electric field of a relativistic particle

e

! $ 10 $ 0

1

1 $ (445=

61 $ 0071 $ 00 sin0 ; </0>0

>#>

! $ 11 $ 00

1@ ; $ 0 $ (445=

1!0>0

>#>

1A ; $ 42 $ (

445= !>0

>#>

1 $ (445=

1>0

>#>

) $ 02

1?e z

;cylindrical coordinates

) $ 00 $ 0

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 100

electric field of a relativistic particle

e

1

1 $ (445=

61 $ 0071 $ 00 sin0 ; </0>0

>#>

! $ 11 $ 00

! ≫ 10 ≅ 1

1e

1@ ; $ 0 $ (445=

1!0>0

>#>

1A ; $ 42 $ (

445= !>0

>#>

! → ∞ 0

! → ∞ ∞

z

! $ 10 $ 0

1 $ (445=

1>0

>#>

) $ 020 ≅ 1

) $ 00 $ 0

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RF fingers and wakefields

vacuum chamber wall

beam

+ +++ +

+ +++ +

mirror currents

1

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 102

RF fingers and wakefields

vacuum chamber wall

beam

+ +++ +

+ +++ +

mirror currents

RF fingers

beam

RF fingers

1

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beam

RF fingers and wakefields

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 104

RF fingers: improvements doneold RF fingers were tilted outwards by 2 degrees

new RF fingers have stronger tilt, more tension

new design withRF fingers outside

beam

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Summing-up of this part

accelerator physicswakefields, RF shielding (RF fingers)

Touchek effect (limiting beam lifetime)

Circular accelerators: the synchrotron

basic components

dipole, quadrupole, undulator magnets, corrector dipolesinjection system (kickers and septum)

vacuum pumps, vacuum pressure monitorsbeam position monitors

basic conceptsin operation

top-up modusaperture scanstrajectory (orbit) corrections

‘collective effects’

rest gas scattering (limiting beam lifetime)

vacuum chambers, bellows

Pedro Castro | Introduction to Accelerator Physics | 24th July 2017 | Page 106

[email protected]

Thank you for your attention