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Beam Instrumentation Basic CAS 2021 Video course H.Schmickler, CERN

Beam Instrumentation Basic CAS 2021 Video course

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Page 1: Beam Instrumentation Basic CAS 2021 Video course

Beam Instrumentation

Basic CAS 2021 – Video course

H.Schmickler, CERN

Page 2: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• What do we mean by beam instrumentation?– The “eyes” of the machine operators

• i.e. the instruments that observe beam behaviour

• “An accelerator can never be better than the instruments measuring its performance!”

• What does work in beam instrumentation entail?– Design, construction & operation of instruments to observe particle beams

– R&D to find new or improve existing techniques to fulfill new requirements

– A combination of the following disciplines• Applied & Accelerator Physics; Mechanical, Electronic & Software Engineering

• What beam parameters do we measure?– Beam Position

• Horizontal and vertical throughout the accelerator

– Beam Intensity (& lifetime measurement for a storage ring/collider)• Bunch-by-bunch charge and total circulating current

– Beam Loss• Especially important for high brightness and superconducting machines

– Beam profiles• Transverse and longitudinal distribution

Introduction

Page 3: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

More Measurements

• Machine Chromaticity

• Machine Tune

QFQF QF

QDQD

SFSF

SFSD SD

Spread in the Machine

Tune due to Particle

Energy SpreadControlled by Sextupole

magnets

Characteristic Frequency

of the Magnetic LatticeGiven by the strength of the

Quadrupole magnets

Optics Analogy:

Achromatic incident light

[Spread in particle energy]

Lens

[Quadrupole]

Focal length is

energy dependent

Page 4: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Luminosity Measurements(dedicated arrangements close to the IP)

• Direct Emittance Measurements(simultaneous measurement of size and divergence)

• Particle identification, Time of flight…(relevant for secondary beam lines)

• Synchronization, beam arrival time monitors…this needs a full course on its own

Not further treated:

Page 5: Beam Instrumentation Basic CAS 2021 Video course

….in general…

• In every instrument we - intercept information of the particle beam- convert it to an electrical signal- digitize it and transmit it to the control room- display it, use it for the computation of corrections,

use it in real-time feedback loops…- store it for further analysis

• What can we intercept?- the beam particles themselves

(typical: beam screen, beam loss monitors…)- the electromagnetic field of the beam

(most instruments, important: beam position monitors)- light emitted by the beam(typical: transverse and longitudinal profiles)

Page 6: Beam Instrumentation Basic CAS 2021 Video course

Accuracy, Precision, Resolution• Very often confused in day-to-day language

• Accuracy:= also called trueness of measurement

• Precision:= how well can I reproduce my measurements

• Resolution:= smallest possible difference in successive measurements

Ex: BPM: Mechanical and electrical offsets, gain factors influence the accuracy, various noise sources or timing jitter influence the precision, ADC resolution can limit the resolution.

Page 7: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 8: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 9: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Beam Image (wall) current– The Principle

-- - - -+

+ + ++-

++

+- -+ -+

+

-- +

-- ++- + -

- -- - - -+

+ + ++-

++

+- -+ -+

+

-- +

-- ++- + -

- -- - - -+

+ ++-

++

+- -+ -+

+

-- +

-- ++-

Page 10: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Wall Current Monitor – The Principle

-- - - -+

+ + ++-

++

+- -+ -+

+

-- +

-- ++- + -

- +-

- -- - - -+

+ ++-

++

+- -+ -+

+

-- +

-- ++-

V

Ceramic Insert

++ +

+++

+

+ +

+

++

++

+++ +

+++ +

+++

++

++

+++

+ +

+ ++

++

+++

+++

+

++

+

++

+ +

++

++

+++ ++

+++

++

++

++

++

+++

+

Page 11: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

AC (Fast) Current Transformers

Beam

Image

Current

Image Current

Core of high

relative permeability

CoFe based

amorphous alloy

Vitrovac: μr= 105

Ceramic Gap

Page 12: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

AC (Fast) Current Transformers

Beam

BB

VBCT

IBCT

Page 13: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Wall Current Monitor – Beam Response

CRfH

2

1

L

IB

V

R

C

Frequency

Response

00

L

RfL

2

IB

Page 14: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Low cut-off– Impedance of secondary winding decreases at low frequency

– Results in signal droop and baseline shift

– Mitigated by baseline restoration techniques (analogue or digital)

AC (Fast) Transformer Response

IB VO

IBm

IB

IBmVOm

VO

VOm

t t

d

τpa) b)

inout

R1

R2

R3

C

log( )f

log( ), log( )A g

gL

gH

fc2 fc1

BCT

amplifier

BCT + amplifier

a) b)

Page 15: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

What one can do with such a System

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Bad RF Capture of a single LHC Batch in the SPS (72 bunches)

Page 16: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 17: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Electrostatic Monitor – The Principle

-- - - -+

+ + ++-

++

+- -+ -+

+

-- +

-- ++- + -

-- - - - -+ +

++- +

+ +- -+

-++- -+ -+ -

- -- - - -+

+ ++-

++

+- -+ -+

+

-- +

-- ++-+-

V

- - - - - - -

Page 18: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

-- - - -+

+ + ++-

++

+- -+ -+

+

-- +

-- ++- + -

-- - - - -+ +

++- +

+ +- -+

-++- -+ -+ -

- -- - - -+

+ ++-

++

+- -+ -+

+

-- +

-- ++-+-

V

- - - - - - -

-+

+ ++

+-

-+ -

+ - +- + -

- - -+ ++

- ++ -+ - -+ -+

- -- - -

++ + -

++

--+-

-

-

-

-

-

-

Electrostatic Beam Position Monitor

Page 19: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Principle of Beam Position Monitors

• Intercept “beam image current” in the vacuum chamber on two isolated (capacitive) pickups.

• Other pickups (more involved): shoebox (linear) pickups, striplinedirectional couplers….

• Use high precision Rf electronics to shape the signals (short bunches deliver signals with high frequency content)- amplifiers- filters- down converters

• Digitize the individual pickup signals

• Eliminate the intensity information from the pickup signals(= “normalization”)

• Compute the position from the pickup-signal difference

• Linearize the pickup response

• Calibrate the system in metric units

Page 20: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Linéarité X - Y

-20

-16

-12

-8

-4

0

4

8

12

16

20

-20 -16 -12 -8 -4 0 4 8 12 16 20

X [mm]

Y [

mm

]

Position Linéarisée sur les Axes X et Y

-20

-16

-12

-8

-4

0

4

8

12

16

20

-20 -16 -12 -8 -4 0 4 8 12 16 20

X [mm]

Y [

mm

]

Position Linéarisée

-20

-16

-12

-8

-4

0

4

8

12

16

20

-20 -16 -12 -8 -4 0 4 8 12 16 20

X [mm]

Y [

mm

]

Electrostatic Pick-up – Button

Low cost most popular

× Non-linear• requires correction algorithm

when beam is off-centre

Area A

r

411

521

31

61

31

551

5 1053.11053.7035.11070.31030.2 YXYXXXXX

Position mapping with movable

antenna

Page 21: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Realization of Button BPM at LHC

Example LHC: 24 mm, half aperture a=25 mm, installed inside cryostat

Critically: 50 matching of button to standard feed-through.

From C. Boccard, C. Palau-Montava et al.(CERN).

Page 22: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• To make it independent of intensity

• 3 main methods:– Difference/Sum : (VA – VB) / (VA + VB) = D / S

– Phase : Arctan(VA / VB)

– Logarithm : Log(VA) – Log(VB)

Normalising the Position Reading

Transfer Function

-1

-0.5

0

0.5

1

-1 -0.5 0 0.5 1

Normalized

Position (U)

Computed

Position (U)

D/S

Atn(a/b)loga-logb

Page 23: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Based on the individual treatment of the electrode signals– Use of frequency domain signal processing techniques

• Developed for telecommunications market

– Rely on high frequency & high resolution analogue to digital converters• Minimising analogue circuitry

• Frequency down-conversion used if necessary to adapt to ADC sampling rate

• All further processing carried out in the subsequent digital electronics

Modern BPM Read-out Electronics

Page 24: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Orbit Acquisition

Horizontal

•This orbit excursionis too large!

Page 25: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Orbit Correction (Operator Panel)

Page 26: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Orbit Correction (Detail)

Page 27: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Beam Threading• Threading the beam round the LHC ring (very first

commissioning)– One beam at a time, one hour per beam.

– Collimators were used to intercept the beam (1 bunch, 2×109 protons)

– Beam through 1 sector (1/8 ring)• correct trajectory, open collimator and move on.

Beam 2 threading BPM availability ~ 99%

Courtesy of CMS

Courtesy of ATLAS

Page 28: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Kind of boring: orbit corrections….but:

Beam physics data derived from BPM rawdata:

Examples:

orbit difference for different beam momenta dispersion

Orbit difference for different beam

intensities

Transverse impedance of

vacuum chamber

Turn by turn trajectory on each BPM; beam

forced on constant oscillation Beta function

and phase

advances

Page 29: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 30: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

OTR

Screen

Mirror

Intensifier -

CCD

Lens

Exit window

• Screen Types– Luminescence / Scintillating Screens

• Destructive (thick) but work with low intensities

– Optical Transition Radiation (OTR) screens• Much less destructive (thin) but require higher energy / intensity beam

Beam Profile Monitoring using Screens

Beam

• OTR– Radiation emitted when a

charged particle goes through an interface with different dielectric constants

– Surface phenomenon allows use of very thin screens (~10mm)

• Can use multiple screens with single pass in transfer lines

• Can leave it in for hundreds of turns e.g. for injection matching

Page 31: Beam Instrumentation Basic CAS 2021 Video course

Screen mechanism

• Screen with graticule

31U. Raich, CERN School of Accelerators, Chavannes

2013/14

Page 32: Beam Instrumentation Basic CAS 2021 Video course

Results from TV Frame grabber

• For further evaluation the video

signal is digitized, read-out and

treated by program

First full turn

as seen by the

BTV

10/9/2008

Un-captured

beam sweeps

through he

dump line

32U. Raich, CERN School of Accelerators, Chavannes

2013/14

Page 33: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Beam Profile Monitoring using Wire-Scanners

Page 34: Beam Instrumentation Basic CAS 2021 Video course

Wire scanner profile

High speed needed

because of heating.

Adiabatic damping

Current increase due to

speed increase

Speeds of up to 20m/s

=> 200g acceleration

34U. Raich, CERN School of Accelerators, Chavannes

2013/14

Page 35: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Wire Breakage – why?– Brittle or Plastic failure (error in motor control)

– Melting/Sublimation (main intensity limit)• Due to energy deposition in wire by proton beam

• Temperature evolution depends on– Heat capacity, which increases with temperature!

– Cooling (radiative, conductive, thermionic, sublimation)• Negligible during measurements (Typical scan 1 ms & cooling time constant ~10-15 ms)

• Wire Choice– Good mechanical properties, high heat capacity, high melting/sublimation point

– E.g. Carbon which sublimates at 3915K

Limitation of WireScanners

Page 36: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Synchrotron light– Emitted from a moving charge bent in a magnetic field

– The main “raison d’être” for light sources

– Also a very useful, non-invasive, powerful diagnostic tool

– Can even be observed with protons & lead ions in the LHC

Synchrotron Light Monitors

Page 37: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Proton Beam Example– LHC single bunch

~1.1e11p @ 3.5 TeV

– Acquistion accumulated over 4 turns at 200Hz

• Limitations– Aberrations

• Mitigated by careful design

– Diffraction• Need to go to shorter

wavelengths as the beam size becomes smaller

Synchrotron Light Imaging

Page 38: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Next Generation FELs & Linear Colliders– Use ultra short bunches to

increase brightness or improve luminosity

• How do we measure such short bunches?

Measuring Ultra Short Bunches

p+ @ LHC 250ps

H- @ SNS 100ps

e- @ ILC 500fs

e- @ CLIC 130fs

e- @ XFEL 80fs

e- @ LCLS <75fs

Destructive Measurement– Direct Observation• Produce light & observe with dedicated instruments

• Use of RF techniques

• Use laser pulses and sampling techniques

– Indirect Calculation• Reconstruct bunch length from frequency spectrum

– Either directly from the bunch or through its radiation spectrum

Page 39: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• RF Deflection– Converts time information to spatial

information

– Coupled to spectrometer also provides energy information

– Destructive technique

– Resolution down to 1.3 fs• X-band RF cavity

• Linac Coherent Light Source (SLAC)

Measuring Ultra Short Bunches

eV

z

j < 0

eV0

ee

ss zz

ss yy

bc

DD yy

DD yy 66 00 °°bp

E. Ferrari (FERMI@Elettra)

Page 40: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Intensity– beam current transformers

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 41: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 42: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Role of a BLM system:– Protect the machine from damage

– Dump the beam to avoid magnet quenches (for SC magnets)

– Diagnostic tool to improve the performance of the accelerator

• E.g. LHC

Beam Loss Detectors

≈10cm

• SPS incident– June 2008

– 2 MJ beam lost at 400GeV

Stored Energy

Beam 7 TeV 2 x 362 MJ

2011 Beam 3.5 TeV above 2 x 100 MJ

Quench and Damage at 7 TeV

Quench level ≈ 1mJ/cm3

Damage level ≈ 1 J/cm3

Page 43: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Common types of monitor– Long ionisation chamber (charge detection)

• Up to several km of gas filled hollow coaxial cables

• Position sensitivity achieved by comparing direct & reflected pulse– e.g. SLAC – 8m position resolution (30ns) over 3.5km cable length

• Dynamic range of up to 104

– Fibre optic monitors• Electrical signals replaced by light produced through Cerenkov effect

Beam Loss Detectors

Page 44: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Common types of monitor– Ionisation chambers

– Dynamic range of < 108

– Slow response (ms) due to ion drift time

Beam Loss Detectors

Page 45: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Beam Loss Detectors• Common types of monitor

– PIN photodiode (solid state ionisation chamber)

• Detect coincidence of ionising particle crossing photodiodes

• Count rate proportional to beam loss with speed limited by integration time

• Can distinguish between X-rays & ionising particles

• Dynamic range of up to 109

HERA-p

Page 46: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

Beam Loss Detectors – New Materials

• Diamond Detectors– Fast & sensitive

– Used in LHC to distinguish bunch by bunch losses

– Investigations now ongoing to see if they can work in cryogenic conditions

Courtesy of E. Griesmayer

Page 47: Beam Instrumentation Basic CAS 2021 Video course

Dr. Rhodri Jones – CERN Beam Instrumentation Group Introduction to Beam Instrumentation - CAS 2015

• Beam Intensity– beam current transformers

• Beam Position– electrostatic or electromagnetic pick-ups and related electronics

• Beam Profile– secondary emission grids and screens

– wire scanners

– synchrotron light monitors

– ionization and luminescence monitors

– femtosecond diagnostics for ultra short bunches

• Beam Loss– ionization chambers or pin diodes

• Machine Tune and Chromaticity (derived quantities)

The Typical Instruments

Page 48: Beam Instrumentation Basic CAS 2021 Video course

Measurement of Q (betatron tune)

• Q – the eigenfrequency of betatron oscillations in a

circular machine

One of the key parameters of machine operation

• Many measurement methods available:

different beam excitations

different observations of resulting beam oscillation

different data treatment

QFQF QF

QDQD

SFSF

SFSD SD

Characteristic Frequency

of the Magnet LatticeProduced by the strength of the

Quadrupole magnets

Page 49: Beam Instrumentation Basic CAS 2021 Video course

Basic CAS 2021 H.Schmickler

Amplitude modulation

m= modulation index 0…1 (Venv = Vc)

Using trigonometric identity:

49

Page 50: Beam Instrumentation Basic CAS 2021 Video course

Basic CAS 2021 H.Schmickler

Relevant example of amplitude modulation: stimulated betatron oscillation(or: tune measurement)

Beam centre of charge makes small betatron oscillation around the closed orbit(- stimulated by an exciter or by a beam instability)

Depending on the proximity to an EM sensor the measured signal amplitude varies.

taken from R.Jones,

proc. of BI-CAS 2018

50

Page 51: Beam Instrumentation Basic CAS 2021 Video course

Basic CAS 2021 H.Schmickler

taken from R.Jones,proc. of BI-CAS 2018

51

Page 52: Beam Instrumentation Basic CAS 2021 Video course

Fourier analysis of turn by turn BPM measurements

1) Stimulate transverse beam oscillation

with a kicker magnet (short dipole

kick during one revolution period)

2) Measure turn-by turn beam position

3) Fourier transform of data

4) Tune: = maximum of frequency

spectrum

5) Resolution: dq/q = 2/Nsamp

6) Problems:

- single shot measurement

- oscillation has to last during measurement

strong damping in some accelerators

large initial excitation (emittance growth in

case of hadron beams)

Page 53: Beam Instrumentation Basic CAS 2021 Video course

LC School 2016 H.Schmickler (CERN-BE-BI)

Time Resolved Measurements

• To follow betatron tunes during machine transitions we

need time resolved measurements. Simplest example:

repeated FFT spectra as before (spectrograms)

Page 54: Beam Instrumentation Basic CAS 2021 Video course

LC School 2016 H.Schmickler (CERN-BE-BI)

Chromaticity (Q’ or )

Achromatic incident light

[Spread in particle energy]

Lens

[Quadrupole]

Focal length is

energy dependent

Optics Analogy:

Spread in the Machine Tune

due to Particle Energy SpreadControlled by Sextupole magnets

f

fQ

p

pQQ

D

DD

'1

'

1

2

Page 55: Beam Instrumentation Basic CAS 2021 Video course

Chromaticity Measurements…

Simply by using the definition:

- Measure betatron tune for different beam momenta;

- vary beam momentum by changing the Rf-frequency

Page 56: Beam Instrumentation Basic CAS 2021 Video course

Applied Frequency Shift

D F (RF)

D Qh

D Qv

Time resolved Q’ Measurement

Amplitude & sign of chromaticity

calculated from continuous tune plot

Page 57: Beam Instrumentation Basic CAS 2021 Video course

qh

qv

Measurement Example during LEP b-squeeze

Page 58: Beam Instrumentation Basic CAS 2021 Video course

Last not least….

…a story from the good old days:

LEP after a technical stop

- no way to make the beam do one turn around the accelerator

- With BPM readings localize the problem to about 20 meters

- local check of equipment (quadrupole polarity…)

- radiography of beam pipe

- finally: cut beam pipe open

Page 59: Beam Instrumentation Basic CAS 2021 Video course

LEP – No Circulating Beam after a technical stop

QL10.L1Positrons

Page 60: Beam Instrumentation Basic CAS 2021 Video course

Zoom on QL1

QL10.L1

Page 61: Beam Instrumentation Basic CAS 2021 Video course

& 10 metres to the right …

Unsociable sabotage: both bottles were empty!!