Radiation calculation for FLASH2 HGHG

HGHG calculation for FLASH2
Guangyao Feng
S2E Meeting
DESY
17.03.2014
Radiation calculation for FLASH2 HGHG
λ/k
λ
λ
Modulator 1
Seed Laser
Electron Beam
Radiator 1
Dispersive Chicane
𝜆𝑢 = 6.5 cm
L = 0.65m
λ = 233 nm
𝜆𝑢 = 3.14 cm
L = 5.56 m
λ/7 = 33.3 nm
Seed Laser
Chicane defined in Genesis input file
9
1.6x10
trama= 1
itram11= -0.9924
itram12= -0.0037
itram13= 0.000000D+00
.
.
.
itram66= 1.000000D+00
Input power of the radiation field [W]
9
1.4x10
9
1.2x10
9
1.0x10
8
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
0.0
0.00000
0.00002
0.00004
0.00006
z [m]
0.00008
0.00010
Radiation calculation for FLASH2 HGHG
Modulator and Chicane + Radiator are calculated separately
with Genesis 1.3
Modulator 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'
Dispersive Chicane
Radiator 1
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
Current & Energy spread
0.7
Q=0.5nC
Current profile [kA/2]
Energy spread within 10 m slice [MeV]
Energy spread within 15 m slice [MeV]
0.6
0.5
0.4
0.3
I=0.5kA
0.2
0.1
E=100keV
-80
-60
-40
-20
0
20
40
60
80
s [m]
5% bad particles are removed
Energy spread within 15μm and 10μm slice length
Radiation calculation for FLASH2 HGHG (Q=0.5nC)
CASE 1: With particle distribution file genereted
from ASTRA simulation
CASE 2: Using beam parameters definition in
Genesis main input file
Current profile
Gaussian distribution
𝝈𝒔 = 𝟖𝟎 𝛍𝐦
Initial energy
distribution
Initial slice
energy spread
no energy chirp
𝝈𝜸 = 𝟎. 𝟒
After the modulator (CASE 1)
Energy modulation and microbunching (CASE 1)
After the Modulator
After the Chicane
Radiation calculation for FLASH2 HGHG (Q=0.5nC)
1.4x10
9
1.2x10
9
1.0x10
9
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
8
Radiator, CASE 2
Saturation power
Psat [W]
Psat [W]
Radiator, CASE 1
1.8x10
9
1.6x10
9
1.4x10
9
1.2x10
9
1.0x10
9
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
8
0.0
0.0
0
20
40
60
80
100
0
120
s [m]
20
40
80
100
120
s [m]
6.0
6.0
60
5.5
5.5
5.0
5.0
Saturation length
4.5
4.0
Lsat [m]
Lsat [m]
4.5
4.0
3.5
3.5
3.0
3.0
2.5
2.5
2.0
1.5
2.0
0
20
40
s [m]
60
80
100
120
0
20
40
60
s [m]
80
100
120
Radiation calculation for FLASH2 HGHG (Q=0.5nC)
Radiator, CASE 1
3.5x10
4
3.0x10
4
2.5x10
4
Radiator, CASE 2
4
5x10
4
4x10
4
1.5x10
4
1.0x10
4
5.0x10
3
Spectrum
P() [a.u.]
2.0x10
4
2x10
4
1x10
0
31
0.0
31
32
33
34
35
32
33
36
34
35
36
 [nm]
 [nm]
10
Radiation energy
Radiation energy [J]
10
Radiation energy [ J]
P() [a.u.]
4
3x10
Q= 0.5 nC
Radiator1
1
0.1
Q= 0.5 nC
Radiator1
1
0.1
0.01
0.01
0
1
2
3
z [m]
4
5
6
Eend=31μJ
0
1
2
3
z [m]
4
5
6
Eend=26μJ
Power distribution along the bunch
P [W]
At the exit of radiator
CASE 1
1.4x10
9
1.2x10
9
1.0x10
9
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
8
0.0
0
20
40
60
80
100
120
CASE 2
P [W]
s [m]
1.6x10
9
1.4x10
9
1.2x10
9
1.0x10
9
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
8
0.0
0
20
40
60
s [m]
80
100
120
Radiation calculation for FLASH2 HGHG (Q=0.25nC)
𝜀𝑥 𝑝𝑟𝑜𝑗 = 0.63𝜇𝑚 ∙ 𝑟𝑎𝑑, 𝜀𝑦 𝑝𝑟𝑜𝑗 = 0.62𝜇𝑚 ∙ 𝑟𝑎𝑑
Q=0.25nC
Current profile [kA/2]
Energy spread within 10 m slice [MeV]
Energy spread within 15 m slice [MeV]
0.7
5% bad particles are removed
Current & Energy spread
0.6
0.5
0.4
0.3
I=0.5kA
0.2
E=100keV
0.1
-40
-20
0
20
40
s [m]
Slice energy spread distribution (uncorrelated)
Energy spread within 15μm and 10μm
slice length
Radiation calculation for FLASH2 HGHG (Q=0.25nC)
After the modulator
Radiation calculation for FLASH2 HGHG (Q=0.25nC)
Radiator calculation
1.0x10
9
8.0x10
8
6.0x10
8
4.0x10
8
2.0x10
8
P [W]
Power distribution along the bunch
Spectrum
Radiation energy along the Radiator
0.0
0
20
40
60
80
100
s [m]
2.0x10
4
1.5x10
4
1.0x10
4
5.0x10
3
Q= 0.25 nC
Radiator1
1
P() [a.u.]
Radiation energy [ J]
10
0.1
0.01
0.0
0
1
2
3
z [m]
4
5
6
Eend=32μJ
31
32
33
 [nm]
34
35
36
Radiation calculation for FLASH2 HGHG (Q=0.10nC)
𝜀𝑥 𝑝𝑟𝑜𝑗 = 0.40𝜇𝑚 ∙ 𝑟𝑎𝑑, 𝜀𝑦 𝑝𝑟𝑜𝑗 = 0.39𝜇𝑚 ∙ 𝑟𝑎𝑑
9.5% bad particles are removed
Q=0.10nC
Current profile [kA/2]
Energy spread within 10 m slice [MeV]
Energy spread within 15 m slice [MeV]
Current & Energy spread
1.2
1.0
0.8
0.6
I=0.5kA
0.4
0.2
0.0
-20
E=100keV
-15
-10
-5
0
5
10
15
20
25
s [m]
Slice energy spread distribution (uncorrelated)
Energy spread within 15μm and 10μm
slice length
Radiation calculation for FLASH2 HGHG (Q=0.10nC)
After the modulator
Radiation calculation for FLASH2 HGHG (Q=0.10nC)
Radiator calculation
P [W]
Power distribution along the bunch
Spectrum
Radiation energy along the Radiator
4.0x10
9
3.5x10
9
3.0x10
9
2.5x10
9
2.0x10
9
1.5x10
9
1.0x10
9
5.0x10
8
0.0
0
10
20
30
40
3.5x10
5
3.0x10
5
2.5x10
5
2.0x10
5
1.5x10
5
1.0x10
5
5.0x10
4
10
P() [a.u.]
Radiation energy [J]
s [m]
Q= 0.10 nC
Radiator1
1
0.1
0.01
0.0
31
0
1
2
3
z [m]
4
5
Eend=61μJ
6
32
33
 [nm]
34
35
Radiation calculation for FLASH2 HGHG (Q=1.0nC)
1.4
1.2
1.0
Q=1.0nC
Current profile [kA]
Energy spread within 10 m slice [MeV]
Energy spread within 15 m slice [MeV]
0.8
𝜀𝑥 𝑝𝑟𝑜𝑗 = 2.26𝜇𝑚 ∙ 𝑟𝑎𝑑, 𝜀𝑦 𝑝𝑟𝑜𝑗 = 2.24𝜇𝑚 ∙ 𝑟𝑎𝑑
0.6
I=0.5kA
0.4
0.2
0.0
-100
-50
0
50
100
150
Energy spread within 15μm and 10μm
slice length
Radiation calculation for FLASH2 HGHG (Q=1.0nC)
Radiator calculation
P [W]
Power distribution along the bunch
Spectrum
Radiation energy along the Radiator
8x10
8
7x10
8
6x10
8
5x10
8
4x10
8
3x10
8
2x10
8
1x10
8
0
0
50
100
150
200
250
s [m]
10
2500
2000
1
P() [a.u.]
Radiation energy [J]
3000
Q= 1.0 nC
Radiator1
1500
1000
0.1
500
0.01
0
1
2
3
4
5
6
z [m]
Eend=25μJ
0
31
32
33
 [nm]
34
35
36
300
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)