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o ptics with SC. XFEL, design optics. BC0. BC1. BC2. horizontal vertical. m omenta tracking. (non)linear self force. s pace charge de-focusing. a nalytic expression for gaussian distributions  with respect to slice or full bunch i n the following: slice.

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optics with SC

XFEL, design optics

BC0

BC1

BC2

horizontal

vertical


momenta tracking

(non)linear self force

space charge de-focusing

analytic expression for gaussian distributions

 with respect to slice or full bunch

in the following: slice

space charge parameter


space charge parameter

20 pC

100 pC

250 pC

500 pC

1nC

1nC

500 pC

250 pC

100 pC

20 pC


space charge miss-match

match

Bmag,x

20 pC

100 pC

250 pC

500 pC

1nC

Bmag,y


optics with/without space charge

match

1 nC


optics with/without space charge

match

250 pC


optics with/without space charge

match

20 pC




analytic estimations (1d)

numerical estimation (1d) “rftweak”

full 3d calculation

in preparation / running


setup & optics


modulation amplitude

FLASH @ 19 nm

undulator

laser


A B

CD

EF

G H

B

D

F

H

100 keV modulation amplitude

AB

CD

EF

GH

~ 3 MeV rms energy spread


500 keV modulation amplitude

~ 3.5 MeV rms energy spread


first 3d simulation

250 keV modulation amplitude

current/A

near end of beam line

/

beam line

coordinate/ m

bunch coordinate/ m

current/A

bunch coordinate/ m


current/A

beam line

coordinate/ m

bunch coordinate/ m

“side view”

current/A

period of plasma oscillation

 120 m

beam line coordinate/ m