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FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY Beam tilt studies at FLASH FEL studies – Autumn 2007 People involved: Kirsten Hacker, Christopher Gerth, Eduard Prat FEL Beam Dynamics Meeting 19 th of November of 2007, Hamburg

Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

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Page 1: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt studies at FLASH

FEL studies – Autumn 2007People involved: Kirsten Hacker, Christopher Gerth, Eduard PratFEL Beam Dynamics Meeting19th of November of 2007, Hamburg

Page 2: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Contents

• Overview of the measurements• Orbit response measurements• Beam tilt

– Measurements and simulations of beam tilt and emittance– Measured and simulated dispersion

• C-shape– Simulation of a possible source– Measurements

• Summary and next steps

Page 3: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Overview of the measurements

y

x

2007-10-29T125554-C-SHAPE-MIRIS-ORBITbadcshape.mat

10 20 30 40 50 60

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60y

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2007-10-28T120852-V2GUN-TILT-SCAN.mat

240 260 280 300 320 340 360 380 400 420

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BEAM TILT MEASUREMENTS (23-10-07 & 28-10-07)A vertical offset through ACC1 (running off-crest) tilts the beam at BC2 and generates an emittance increase.Using the gun steerers, we generated different vertical bumps at BPM9ACC1. For each bump we measured:-Dispersion from ACC1-Beam tilt at BC2 using SR camera-Emittance at DBC2 using 4 OTR stations at DBC2

y

x

2007-10-28T105912-V2GUN-TILT-SCAN.mat

280 300 320 340 360 380 400 420

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65

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C-SHAPE MEASUREMENTS (28-10-07 & 29-10-07)Running ACC1 on-crest, beam at BC2 can have a C-shape (for some optics and gun phase)We have analyzed the C-shape for different iris & mirror positions and as a function of the orbit

Complementary measurements- Orbit response for gun steerers (23 & 28-10-07)- Beam energy and energy spread after the gun (29-10-07)

Page 4: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Orbit response measurements23-10-07

0 2 4 6 8 10 12-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1V1GUN (23-10-07)

#BPM

Orb

it re

spon

se [m

m/m

rad]

1mradmodel

0 2 4 6 8 10 12-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4V3GUN (23-10-07)

#BPM

Orb

it re

spon

se [m

m/m

rad]

1mradmodel

0 2 4 6 8 10 12-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8V2GUN (23-10-07)

#BPM

Orb

it re

spon

se [m

m/m

rad]

1mradmodel

Wrong calibration sign of BPM9ACC1 (changed)Wrong calibration constant of BPM1/2UBC2 (changed)Wrong polarity of V3GUN (changed)

Page 5: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Orbit response measurements28-10-07

0 2 4 6 8 10 12-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1V2GUN (28-10-07)

#BPM

Orb

it re

spon

se [m

m/m

rad]

0.5mrad0.5mrad1mrad1mradmodel

0 2 4 6 8 10 12-8

-6

-4

-2

0

2

4

6V10ACC1 (28-10-07)

#BPM

Orb

it re

spon

se [m

m/m

rad]

1mrad0.1mrad

After the changes ~ good agreement ☺ ✔

Page 6: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt measurements – 28-10-2007Beam tilt

y

x

2007-10-28T105016-V2GUN-TILT-SCAN.mat

280 300 320 340 360 380 400 420 440

34

36

38

40

42

44

46

48

50

52

54

Beam tilt for no bump is not zero(For no bump, orbit at BM9ACC1 was -2.8mm)

-6 -4 -2 0 2 4 6 8-1.5

-1

-0.5

0

0.5

1

1.5

2

2.5

Bump amplitude at BPM9ACC1 [mm]

Bum

p de

pend

ent t

ilt a

t D3B

C2

[deg

]

SR Camera BC2: Bunch tilt measurement 28-Oct-2007

Page 7: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt measurements – 28-10-2007Emittance at DBC2 (90% values)

-4 -3 -2 -1 0 1 2 3 4 51

1.5

2

2.5

3

3.5

4

4.5

bump amplitude at BPM9ACC1 [mm]

emitt

ance

mea

sure

d at

DB

C2

[um

]

90% horizontal emittance90% vertical emittancehorizontal mismatchvertical mismatch

ACC1 9 degrees off crest

Emittance is not minimum for no bump(For no bump, orbit at BM9ACC1 was -2.8mm)

Page 8: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt simulations

Steerer currents of the measurements for V1/2/3GUN (& bump artificially closed)

Parameters of initial distribution:Emittance=1.3μmMomentum chirp = -4%Bunch Length=1.7mm,Energy spread = 0.4%

0 5 10-5

0

5

0 5 10-5

0

5

0 5 10-10

0

10

0 5 10-5

0

5

0 5 10-5

0

5

0 5 10-10

0

10

0 5 10-10

0

10

simulationmeasurement

Simulated vs measured orbit difference [mm]

105 particlesWakes included (structure and coupler)0.62nC9 degrees off crest at ACC1Optics of the measurements

Page 9: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt simulationsBasic case (zero bump = zero orbit, no wakes)

-6 -4 -2 0 2 4 6-2

-1

0

1

2

bump at BPM9ACC1 [mm]

beam

tilt

at B

C2

[deg

rees

]

-6 -4 -2 0 2 4 60.5

1

1.5

2x 10-6

bump at BPM9ACC1 [mm]

emitt

ance

at D

BC

2 [u

m]

No bump corresponds to no tilt and to optimum emittance

Page 10: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt simulationsReal case (no bump=-2.8mm at BPM9ACC1)

Initial orbit misalignment of 3.5mm reproduces the initial orbit at BPM9ACC1 (-2.8mm)

-8 -6 -4 -2 0 2 4-1

0

1

2

3

orbit at BPM9ACC1

beam

tilt

at B

C2

[deg

rees

]

-8 -6 -4 -2 0 2 42

2.5

3

3.5x 10-6

orbit at BPM9ACC1

emitt

ance

at D

BC

2 [u

m]

Page 11: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tiltMeasurements vs simulations

Beam tilt: if some initial offset good agreementEmittance: qualitative good agreement

EmittanceBeam tilt

-6 -4 -2 0 2 4 6 81

1.5

2

2.5

3

3.5

4

bump amplitude at BPM9ACC1 [mm]

emitt

ance

mea

sure

d at

DB

C2

[um

]

measured emittancemeasured mismatchsimulated emittance

-6 -4 -2 0 2 4 6 8-1

-0.5

0

0.5

1

1.5

2

2.5

Bump amplitude at BPM9ACC1 [mm]

Bum

p de

pend

ent t

ilt a

t D3B

C2

[deg

]

measurements fitmeasurement pointssimulations

Page 12: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Beam tilt: Dispersion from ACC1 Measurements and simulations

3 4 5 6 7 8 9 10-30

-20

-10

0

10

20

30

#BPM

Dis

pers

ion

[mm

]MEASURED VERTICAL DISPERSION

-1.9mm-4.9mm+1.6mm+3.2mm+4.3mm+5.9mmref

3 4 5 6 7 8 9 10-15

-10

-5

0

5

10

15

#BPM

Dis

pers

ion

[mm

]

MEASURED HORIZONTAL DISPERSION

ref-1.9mm-4.9mm+1.6mm+3.2mm+4.3mm+5.9mmref2

3 4 5 6 7 8 9 10-30

-20

-10

0

10

20

30

#BPM

Dis

pers

ion

[mm

]

SIMULATED VERTICAL DISPERSION

ref-1.9mm-4.9mm+1.6mm+3.2mm+4.3mm+5.9mm

Page 13: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Comparison between measured and simulated dispersion for each bump

0 5 10-20

0

20

#BPM

Dis

pers

ion

[mm

]meassimulation

0 5 10-50

0

50

#BPM

Dis

pers

ion

[mm

]

0 5 10-20

0

20

#BPM

Dis

pers

ion

[mm

]

0 5 10-50

0

50

#BPM

Dis

pers

ion

[mm

]

0 5 10-20

0

20

40

#BPM

Dis

pers

ion

[mm

]

0 5 10-50

0

50

#BPM

Dis

pers

ion

[mm

]

meassimulation

Good agreement ☺

Page 14: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

C-shape simulations: a possible sourceEnergy chirp coming from the gun + vertical dispersion

-3 -2 -1 0 1 2 3 4 5

x 10-3

-4

-3

-2

-1

0

1

2

3

4x 10

-3

x[m]

y[m

]

Initial kick of 20mrad compensated with V2/3GUN, E=4.5MeVenergy chirp=6%wakes included

What can generate such a kick? Solenoid misalignment?

Page 15: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Simulations of the C-shapeMoving ACC1 phase

-2 -1 0 1 2 3 4 5 6 7

x 10-3

-4

-3

-2

-1

0

1

2

3

4x 10-3

x[m]

y[m

]

screen 3BC2, tita=14.2196

-2 0 2 4 6 8 10

x 10-3

-4

-3

-2

-1

0

1

2

3x 10-3

x[m]

y[m

]

screen 3BC2, tita=-19.5634

+ 2 degrees - 2 degrees

Same effect observed in measurements

Page 16: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

C-shape measurements

After adjusting gun phase and optics …

y

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2007-10-29T121447-C-SHAPE-MIRIS-0.mat

10 20 30 40 50 60

10

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… C-shape is there

Page 17: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Moving ACC1 phase

y

x

2007-10-29T125631-C-SHAPE-MIRIS-ORBITbadcshape.mat

10 20 30 40 50 60

10

20

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40

50

60

y

x

2007-10-29T125554-C-SHAPE-MIRIS-ORBITbadcshape.mat

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60

y

x

2007-10-29T125613-C-SHAPE-MIRIS-ORBITbadcshape.mat

10 20 30 40 50 60

10

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50

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-Same effect observed during measurements before the shutdown-Same effect predicted by simulations

-1 degree

+ 1 degree reference

Page 18: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Pseudo solenoid misalignment

Moving both iris and mirror positions the beam is misaligned respect to the gun.

Page 19: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Moving vertically

y

x

2007-10-29T124226-C-SHAPE-MIRIS-up085.mat

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10

20

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40

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60

y

x

2007-10-29T124544-C-SHAPE-MIRIS-REF.mat

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y

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2007-10-29T122445-C-SHAPE-MIRIS-down06.mat

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60y

x

2007-10-29T122739-C-SHAPE-MIRIS-down18.mat

10 20 30 40 50 60

10

20

30

40

50

60

↑0.85mm reference

↓0.60 mm ↓1.80 mm

C-shape does not change significantly when moving up and down

Page 20: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Moving horizontally

y

x

2007-10-29T121954-C-SHAPE-MIRIS-right2.mat

10 20 30 40 50 60

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x

2007-10-29T110620-C-SHAPE-MIRIS-right0875.mat

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y

x

2007-10-29T115727-C-SHAPE-MIRIS-000.mat

10 20 30 40 50 60

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60y

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2007-10-29T120004-C-SHAPE-MIRIS-left083.mat

10 20 30 40 50 60

10

20

30

40

50

60

Movement to the right enhances C-shapeMovement to the left reduces the effect

→2.00mm →0.88mm

reference ←0.83mm

Page 21: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Orbit correction

y

x

2007-10-29T121954-C-SHAPE-MIRIS-right2.mat

10 20 30 40 50 60

10

20

30

40

50

60

y

x

2007-10-29T125554-C-SHAPE-MIRIS-ORBITbadcshape.mat

10 20 30 40 50 60

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60

y

x

2007-10-29T120004-C-SHAPE-MIRIS-left083.mat

10 20 30 40 50 60

10

20

30

40

50

60

→2.00mm

←0.83mm

Orbit as →2.00mm

Correcting the orbit without moving iris and mirror has a similar impact to the C-shape as moving iris and mirror

yx

2007-10-29T125001-C-SHAPE-MIRIS-ORBITnocshape.mat

10 20 30 40 50 60

10

20

30

40

50

60

Orbit as ←0.83mm

Page 22: Beam tilt studies at FLASH - DESY · 2007-10-28T105016-V2GUN-TILT-SCAN.mat 280 300 320 340 360 380 400 420 440 34 36 38 40 42 44 46 48 50 52 54 Beam tilt for no bump is not zero (For

FEL Beam Dynamics Meeting - 19/11/07 Eduard Prat, DESY

Summary and next steps

SummaryGood agreement between model and measured orbit response for gun steerersBeam tilt:

Measurements of beam tilt, emittance and dispersion are in a good agreement with simulations. Initial conditions (without gun steering) were not optimal.

C-shape:Correcting the orbit has a similar effect as moving iris and mirror positions.Vertical dispersion created upstream ACC1 would generate the C-shape (simulated and ~ confirmed by measurements)

Next stepsAnalyze beam energy measurementDo more precise simulations (using initial distribution from ASTRA, using same way to determine beam tilt for measurements and simulations, etc.)