compression scenarios for the european xfel charge and bunch length scope igor zagorodnov 1st...

-2 -1 0 1 2

13.995

14

14.005

Compression Scenarios for the European XFEL

Charge and Bunch Length Scope

Igor Zagorodnov

1st Meeting of the European XFEL Accelerator Consortium

DESY, MPY14. April 2012

[GeV]E

[μm]s

Igor Zagorodnov| 1st Meeting of EXFEL Accelerator Consortium | 17. April 2012 | Seite 2

Inhalt

Analytical and Numerical Approaches

Compression Scenarios for Different Charges

Strong Compression

Summary



Layout

1 130MeVE 1,1M

Gun

1,3M

2M 3M 4M

LH

DL 1BC 2BC 3BC2 700MeVE 3 2400MeVE 4 14 /17.5GeVE



1

56,1

1

130MeV

?

?

E

R

C

2

56,2

2

700MeV

?

?

E

R

C

3

56,3

2400MeV

?

E

R

Working points (11 macro-parameters)

What is the optimal choice?

1,1M

Gun

1,3M

2M 3M 4M

LH

DL 1BC 2BC 3BC

, ,C C C

Zagorodnov I., Dohlus M., A Semi-Analytical Modelling of Multistage Bunch Compression with Collective Effects, Phys. Rev. ST Accel. Beams, 2011.


-100 -50 0 50 1000

1

2

3

4

-5 0 50

0.01

0.02

0.03

0.04

[mm]s

1

( )C s

3 [μm]s

[kA]I

(0) 0C


Choosing of machine parameters

very strong compression at the bunch head (spike)

(0) 0C



ACC39 ACC4/5/6/7ACC39 ACC4/5/6/7

~ 1.5 kA

~2.5 kA

slice emittance > 2mm

slice emittance ~ 0.3 - 1mm

Q=1 nC

Q=0.5 nC

Rollover Compression vs. Linearized (FLASH)



[MeV]E

[μm]s

[kA]I

[μm]s

[μm]s[μm]s

[MeV]E

[kA]I

0C 0C

Q=1 nC


Analytical and Numerical ApproachesAnalytical solution without self-fields

10 0 0( )x A f

Solution with self-fields

0( ) A x f

10 ( )n nx A g

nonlinear operator (tracking with self-fields)

1 1n n n g g f

10 0 0( ) ( ) x A A x f A x

10 0 1 0 1( ) ( )n n n

x A A x f A x

numerical tracking

analytical correction of RF parameters

1 1( )n n f A x

1 0 1n n f f fresidual inmacroscopic parameters

1,1

1,1

1,3

1,3

2

2

3

3

V

V

V

V

x

1

2

3

10

2

E

E

E

C

C

C

C

C

f

Zagorodnov I., Dohlus M., A Semi-Analytical Modelling of Multistage Bunch Compression with Collective Effects, Phys. Rev. ST Accel. Beams, 2011.



1 130MeVE

Beam dynamics simulation

1,1M

Gun

1,3M

2M 3M 4M

LH

DL 1BC 2BC 3BC2 700MeVE 3 2400MeVE 4 14GeVE

ASTRA ( tracking with 3D space charge, DESY, K. Flötmann)

W1 -TESLA cryomodule wake (TESLA Report 2003-19, DESY, 2003)

W3 - ACC39 wake (TESLA Report 2004-01, DESY, 2004)TM - transverse matching to the design optics

W

3

W1

TM4W1

TM64W

1

12W1

TM

Full 3D simulation method (200 CPU, ~10 hours)

CSRtrack (tracking through dipoles, DESY, M. Dohlus, T. Limberg)

1.6 kmz


Compression for Different Charges

-40 -20 0 20 40 600

1

2

3

4

5

Q=1 nC

E

[kA]I

Phase space

[MeV]E

0.9 [μm]projx

3.5 [μm]projy

Current, emittance, energy spread

[μm]x[μm]y

[μm]s [μm]s

178fs

bunch head

-40 -20 0 20 40 60

13.998

14

14.002

14.004

14.006

14.008



-20 -10 0 10 200

0.2

0.4

0.6

0.8

1

EPhase space

[MeV]E

0.45 [μm]projx

1.5[μm]projy


[μm]x

[μm]y

[μm]s [μm]s

39fs

bunch head

5kA

I

-10 0 10 20

13.995

14

14.005

14.01

Q=250 pC



-2 -1 0 1 20

0.2

0.4

0.6

0.8

1

[MeV]E

0.14 [μm]projx

0.26 [μm]projy


[μm]x[μm]y

[μm]s

2fs

5kA

I

E

[μm]s

-2 -1 0 1 2

13.995

14

14.005

Phase space

Q=20 pC



Parameter Unit

Bunch charge nC 1 0.5 0.25 0.1 0.02

Peak current (gun) A 43 24 13.5 5.7 1.2

Bunch length (gun, FWHM) ps 25 22 20 17 17

Slice emittance (gun) mm 0.8 0.5 0.3 0.21 0.09

Projected emittance (gun) mm 1 0.7 0.6 0.3 0.1

Compression 114 233 363 877 3833

Peak current kA 4.9 5.6 4.9 5 4.6

Bunch length (FWHM) fs 178 72 39 12 2.2

Slice emittance mm 1 0.7 0.5 0.3 0.17

Projected emittance mm 3.5 2.2 1.5 0.84 0.26

Slice energy spread (laser heater off)

MeV 0.45 0.44 0.6 0.6 0.8

Beam parameters from S2E simulations



-30 -20 -10 0 10 200

5

10

15

20

25

30

35

0 50 100 1500

0.5

1

1.5

2

Radiation Q=1nC. SASE[GW]P

[μm]s

[mJ]W

[m]z

Genesis

ALICE

Genesis

ALICE

Zagorodnov I., Dohlus M., Numerical FEL studies with a new code ALICE, in Proceedings of FEL09, Liverpool, 2009.



0 50 100 1500

5

10

15

20

25

30

0 50 100 150

10-4

10-2

100

Radiation energy statistics (1-25-120 runs) mJE

[m]z

250 pC

1 nC

Mean energy

20 pC

fsz

Radiation pulse width (RMS)

Charge, nC 1 0.25 0.02

Mean radiation energy, mJ 1-4 1-2 0.1-0.4

Pulse radiation width (FWHM), fs 25-50 10-20 1-2

250 pC

1 nC

20 pC

[m]z



Bunch charge, nC 1 0.25 0.02

Wavelength, nm 0.1

Beam energy, GeV 14

Peak current, kA ~ 5

Slice emmitance,mm-mrad 1 0.5 0.2

Saturation length, m 85 60 45

Energy in the rad. pulse, mJ 1-4 1-2 0.1-0.4

Radiation pulse duration FWHM, fs 25-50 10-20 1-2

Averaged peak power, GW 10-50 10-100 50-150

Spectrum width, % 0.15-0.3 0.18-0.5

Radiation Properties from S2E


Strong Compression

-40 -20 0 20 40 600

1

2

3

4

5

6

7

8

9

10

Q=1 nC, I=10kAPhase space

[MeV]E

0.9 [μm]projx

8 [μm]projy


[μm]x

[μm]y

[μm]s [μm]s

85fs

[kA]I

-20 0 20 40

14.002

14.004

14.006

14.008

14.01

14.012

14.014E


Strong Compression

Parameter Unit

Bunch charge nC 1

Peak current (gun) A 43

Compression 116 228

Peak current kA 5 9.8

Bunch length (FWHM) fs 178 75

Slice emittance mm 1 1

Projected emittance mm 3.5 8

Slice energy spread (laser heater off)

MeV 0.45 1

Q=1 nC


Strong Compression for 250 pC

[MeV]E

[kA]I

[μm]s

[μm]s [μm]s

[μm]s

[MeV]E

[kA]I

R56,3= -20 mm R56,3= -23.8 mm



Momentum compaction

factor in BC1

R56,1,

[mm]

Compr.in BC1

C1

Momentum compaction

factor in BC2

R56,2,

[mm]

Compr.in BC2

C2

Momentum compaction

factor in BC3

R56,3,

[mm]

Totalcompr.

C

Second derivative

(C-1)'',[m-2]

-78 3.5 -50 8 -20,…,-24 385 1000

Macro-parameters

1 130 MeVE 2 700MeVE 3 2400MeVE



-10 0 10 20

13.995

14

14.005

14.01

-20 -10 0 10 20 300

0.5

1

1.5

R56,3=-20mm

5kA

I

Phase space

[MeV]E


[μm]x

[μm]y

[μm]s [μm]s



-20 -10 0 10 20 300

1

2

3

-10 0 10 20

13.935

13.94

13.945

13.95

13.955

R56,3 =-21 mm

5kA

I

Phase space

[MeV]E


[μm]x

[μm]y

[μm]s [μm]s



-10 0 10 200

2

4

6

8

10

[MeV]E-5 0 5 10 15

13.9

13.92

13.94

13.96

13.98

5kA

I

[MeV]E

[μm]x

[μm]y

[μm]s [μm]s

R56,3 =-21.9 mmPhase space Current, emittance, energy spread



-5 0 5 10 150

2

4

6

8

0 5 10

13.92

13.93

13.94

13.95

13.96

13.97

5kA

I

[MeV]E

[μm]x

[μm]y

[μm]s [μm]s

R56,3 =-22.6 mmPhase space Current, emittance, energy spread



-4 -2 0 2 40

1

2

3

4

5

-2 -1 0 1 2

13.92

13.93

13.94

13.95

13.96

13.97

5kA

I

[MeV]E

[μm]x

[μm]y

[μm]s [μm]s

R56,3 =-22.6 mm (70% of particles)Phase space Current, emittance, energy spread



-10 -5 0 5 100

0.5

1

1.5

2

2.5

-4 -2 0 2 413.98

13.99

14

14.01

14.02

5kA

I

[MeV]E

[μm]x

[μm]y

[μm]s [μm]s

R56,3 =-23.2 mm (70% of particles)Phase space Current, emittance, energy spread



Beam core parameters vs. R56

20 21 22 23 240

10

20

30

40

50

20 21 22 23 240

5

10

15

20

25

20 21 22 23 240.2

0.3

0.4

0.5

0.6

20 21 22 23 240

1

2

3

4

[kA]I

[μm]slicex [μm]slice

y

[fs]t

56,3 [mm]R56,3 [mm]R

56,3 [mm]R56,3 [mm]R

70% of particles



20 21 22 23 240

2

4

6

8

20 21 22 23 24

0.35

0.4

0.45

0.5

0.55

0.6

0.65

20 21 22 23 240

2

4

6

8

20 21 22 23 240

10

20

30

40

50

[kA]I [MeV]E

[μm]y[μm]x

56,3 [mm]R

56,3 [mm]R

56,3 [mm]R

56,3 [mm]R

70% of particles

Beam core parameters vs. R56



0 50 100 1500

0.5

1

1.5

2

2.5

3

[mJ]E

[m]z

56.3 20mmR

56.3 21.6mmR

Radiation energy vs. R56 (with und. wake and taper)

20 21 22 23 240

0.2

0.4

0.6

0.8

1

1.2

1.4

60mz

[mJ]E

[a.u.]I

56,3 [mm]R


Strong Compression (SLAC)

0.155

0.03

Q=20 pC



Radiation energy vs. compression rate

20 21 22 23 240

0.2

0.4

0.6

0.8

1

1.2

1.4

60mz

[mJ]E

[a.u.]I

56,3 [mm]R



20 21 22 23 240

0.2

0.4

0.6

0.8

1

1.2

1.4

60mz

[mJ]E

[a.u.]I

56,3 [mm]R

0.155

0.03

16

0.16

Radiation energy vs. compression rate



20 21 22 23 240

100

200

300

400

500

600

700175mz

[a.u.]I

56,3 [mm]R20 21 22 23 24

0

50

100

150

200

60mz

max[GW]P

[a.u.]I

max[GW]P

56,3 [mm]R

Radiation power vs. compression rate


Summary

Bunches with charge 20-1000 pC can be compressed to 5 kA and higher

Radiation energy drops down at “full” compression

Overcompression scenario can be used

Acknowledgements to M.Dohlus and T.Limberg for many useful discussions

compression scenarios for the european xfel charge and bunch length scope igor zagorodnov 1st...

Documents

nc slide

pc slide

energy spread slide

energy spread bunch

s2e slide

limberg slide

strong compression q

numerical approaches