HGHG calculation for FLASH2 · 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q=1.0nC Current profile [kA] Energy...

HGHG calculation for FLASH2

Guangyao Feng

S2E Meeting

DESY

17.03.2014

Radiation calculation for FLASH2 HGHG

𝜆𝑢 = 6.5 cm

L = 0.65m

Modulator 1

Dispersive Chicane

Radiator 1 Seed Laser

Electron Beam

λ λ λ/k

𝜆𝑢 = 3.14 cm

L = 5.56 m

λ = 233 nm λ/7 = 33.3 nm

0.00000 0.00002 0.00004 0.00006 0.00008 0.000100.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

1.2x109

1.4x109

1.6x109

Inp

ut p

ow

er

of th

e r

ad

iatio

n fie

ld [W

]

z [m]

Seed Laser Chicane defined in Genesis input file

trama= 1

itram11= -0.9924

itram12= -0.0037

itram13= 0.000000D+00 . . . itram66= 1.000000D+00

Radiation calculation for FLASH2 HGHG

Modulator and Chicane + Radiator are calculated separately

with Genesis 1.3

Modulator 1 Dispersive Chicane

Radiator 1

Modulator run 1. Integrating through

modulator with a seed.

2. Dumping particle

distribution

$newrun

nbins = 32

nharm = 7

npart = 56448

Idmppar = 1

outputfile='modulator.out'

Chicane + Radiator run 1. Importing particle distribution.

2. Up converting the particle distribution to a higher

harmonic.

3. Tracking through the dispersive chicane.

4. Integrating through the radiator.

$newrun

partfile='modulator.out.dpa‚

convharm= 7

Radiation calculation for FLASH2 HGHG (Q=0.5nC)

Beam properties at the

entrance of undulator for

0.5nC

-80 -60 -40 -20 0 20 40 60 80

0.1

0.2

0.3

0.4

0.5

0.6

0.7

E=100keV

I=0.5kA

Q=0.5nC

Current profile [kA/2]

Energy spread within 10 m slice [MeV]


Cu

rre

nt &

Ene

rgy

spre

ad

s [m]

5% bad particles are removed Energy spread within 15μm and 10μm slice length


CASE 1: With particle distribution file genereted

from ASTRA simulation

CASE 2: Using beam parameters definition in

Genesis main input file

𝝈𝒔 = 𝟖𝟎 𝛍𝐦

Gaussian distribution Current profile

Initial energy

distribution

Initial slice

energy spread 𝝈𝜸 = 𝟎. 𝟒

no energy chirp

After the modulator (CASE 1)

Energy modulation and microbunching (CASE 1)

After the Modulator After the Chicane


Radiator, CASE 1 Radiator, CASE 2

Saturation power

Saturation length

0 20 40 60 80 100 1200.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

1.2x109

1.4x109

1.6x109

1.8x109

Psa

t [W

]

s [m]

0 20 40 60 80 100 120

1.5

2.0

2.5

3.0

3.5

4.0

4.5

5.0

5.5

6.0

Lsat [

m]

s [m]

0 20 40 60 80 100 1200.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

1.2x109

1.4x109

s [m]

Psa

t [W

]

0 20 40 60 80 100 120

2.0

2.5

3.0

3.5

4.0

4.5

5.0

5.5

6.0

Lsat [

m]

s [m]


Radiation energy

31 32 33 34 35 360

1x104

2x104

3x104

4x104

5x104

P(

) [a

.u.]

[nm]

0 1 2 3 4 5 60.01

0.1

1

10

Ra

dia

tio

n e

ne

rgy [

J]

z [m]

Q= 0.5 nC

Radiator1

Radiator, CASE 1 Radiator, CASE 2

Spectrum

31 32 33 34 35 360.0

5.0x103

1.0x104

1.5x104

2.0x104

2.5x104

3.0x104

3.5x104

[nm]

P(

) [a

.u.]

0 1 2 3 4 5 60.01

0.1

1

10

Q= 0.5 nC

Radiator1

Ra

dia

tio

n e

ne

rgy [

J]

z [m] Eend=31μJ Eend=26μJ

0 20 40 60 80 100 120

0.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

1.2x109

1.4x109

1.6x109

P [

W]

s [m]

0 20 40 60 80 100 1200.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

1.2x109

1.4x109

P [

W]

s [m]

Power distribution along the bunch

At the exit of radiator

CASE 1

CASE 2

-40 -20 0 20 40

0.1

0.2

0.3

0.4

0.5

0.6

0.7 Q=0.25nC




E=100keV

I=0.5kA

C

urr

en

t &

En

erg

y s

pre

ad

s [m]

𝜀𝑥𝑝𝑟𝑜𝑗 = 0.63𝜇𝑚 ∙ 𝑟𝑎𝑑, 𝜀𝑦

𝑝𝑟𝑜𝑗 = 0.62𝜇𝑚 ∙ 𝑟𝑎𝑑

5% bad particles are removed

Slice energy spread distribution (uncorrelated)

Energy spread within 15μm and 10μm

slice length



After the modulator


0 20 40 60 80 1000.0

2.0x108

4.0x108

6.0x108

8.0x108

1.0x109

P [

W]

s [m]

0 1 2 3 4 5 60.01

0.1

1

10

z [m]

Ra

dia

tio

n e

ne

rgy [

J]

Q= 0.25 nC

Radiator1

31 32 33 34 35 360.0

5.0x103

1.0x104

1.5x104

2.0x104

P(

) [a

.u.]

[nm]


Radiation energy along the Radiator

Spectrum

Radiator calculation

Eend=32μJ


-20 -15 -10 -5 0 5 10 15 20 250.0

0.2

0.4

0.6

0.8

1.0

1.2

E=100keV

I=0.5kA

Q=0.10nC




Cu

rre

nt &

En

erg

y sp

rea

d

s [m]



9.5% bad particles are removed

Slice energy spread distribution (uncorrelated) Energy spread within 15μm and 10μm

slice length


After the modulator


0 10 20 30 400.0

5.0x108

1.0x109

1.5x109

2.0x109

2.5x109

3.0x109

3.5x109

4.0x109

P [

W]

s [m]

31 32 33 34 350.0

5.0x104

1.0x105

1.5x105

2.0x105

2.5x105

3.0x105

3.5x105

P(

) [a

.u.]

[nm]

0 1 2 3 4 5 6

0.01

0.1

1

10

Ra

dia

tio

n e

ne

rgy [

J]

z [m]

Q= 0.10 nC

Radiator1



Spectrum


Eend=61μJ

-100 -50 0 50 100 1500.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

Q=1.0nC

Current profile [kA]



I=0.5kA


Energy spread within 15μm and 10μm

slice length




0 50 100 150 200 250 3000

1x108

2x108

3x108

4x108

5x108

6x108

7x108

8x108

s [m]

P [

W]

0 1 2 3 4 5 60.01

0.1

1

10

Ra

dia

tio

n e

ne

rgy [

J]

z [m]

Q= 1.0 nC

Radiator1

Eend=25μJ

31 32 33 34 35 360

500

1000

1500

2000

2500

3000

[nm]

P(

) [a

.u.]



Spectrum


The plan

1. Modifying the internal report of beam dynamics simulation for

FLASH2.

2. New beam dynamics simulations for FLASH2 for low bunch charge

cases.

3. Preparing for cascaded HGHG calculation (Modulator1 +

Dispersive chicane + Radiator1 + Fresh bunch chicane + Modulator2 +

Dispersive chicane + Radiator 2)

HGHG calculation for FLASH2 · 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q=1.0nC Current profile [kA] Energy...

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Transcript of HGHG calculation for FLASH2 · 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q=1.0nC Current profile [kA] Energy...