LOLA setup mulated LOLA measurement*: no transverse beam dimen imaging: entrance-LOLA to OTR mulated LOLA measurement*: gaussian transverse shap about coupler kick (=CK) measurements 16 th June 2010, see s2e-meeting in Oct. imulated LOLA measurement*: no emittance but CK Simulated LOLA Measurements mulated LOLA measurement*: gaussian transv. + CK simulated LOLA measurement*: CSR + CK ut reconstruction method of filamentary phase space summary
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LOLA setup simulated LOLA measurement*: no transverse beam dimensions imaging: entrance-LOLA to OTR simulated LOLA measurement*: gaussian transverse shape.
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LOLA setup
simulated LOLA measurement*: no transverse beam dimensions
* measurements 16th June 2010, see s2e-meeting in Oct.
simulated LOLA measurement*: no emittance but CK
Simulated LOLA Measurements
simulated LOLA measurement*: gaussian transv. + CK
simulated LOLA measurement*: CSR + CK
about reconstruction method of filamentary phase space
summary
LOLA setup
LOLA L = 3.826 m; 2.856 GHzDrift L = 2.693 mBend L = 0.447 m; 5 degDrift L = 0.131 mBend L = 0.447 m; 5 degDrift L = 4.481 mOTR 17.5 µm / pixel
LOLA setup
field expansion in LOLA close to axis(for symmetry PEC in xz-plane and PMC in yz-plane)
tj
yzE
zE
yz
y exp
0
Re
,
0,tr,E
tj
xzB
zB
xz
x
exp0Re
,
0,
tr,B
with 0,0,, xyyz BjEE
2
0,0,0,
0,0,
0,,
,0,0,
, 0
ReRe Oe
vByEBj
vBEe
vByE
xvBvBE
xvBtj
yxyx
zxytj
yxyz
yxzzxy
yxz
BvE
we need the transverse field on axis: zBzE xy 0,0, ,
LOLA setup
approach with
(Panofsky-Wenzel theorem)
zjkxy ezEcBE 0ˆ
0,0,
ck
0
and slowly compared to cell length zE
dzzEedzeeszEV sjkzcjszjk
yˆˆ 00
cvz
0yv
dzzEyecjV sjk
zˆ0
LOLA cavity, in reasonable approximation:
yeV
cK
MW MV 1.6
PVy
1
1
1
1
1
1
22
2
2
2
2
2
16200
010000
01000
02100
000000
00001
s
y
y
x
x
LKKLK
K
KLL
L
s
y
y
x
x
with
energy calibration; theoretically:
streak calibration; theoretically:
MW
GeV23.17
pixelfsec P
S
510007.2pixel
d
imaging: entrance-LOLA to OTR
LOLA L = 3.826 m; 2.856 GHzDrift L = 2.693 mBend L = 0.447 m; 5 degDrift L = 0.131 mBend L = 0.447 m; 5 degDrift L = 4.481 mOTR 17.5 µm / pixelfull imaging function entrance-LOLA to OTR
imaging: entrance-LOLA to OTR
LOLA L = 3.826 m; 2.856 GHzDrift L = 2.693 mBend L = 0.447 m; 5 degDrift L = 0.131 mBend L = 0.447 m; 5 degDrift L = 4.481 mOTR 17.5 µm / pixel
streak (Vy) with positive sign:
MeV 700
MV 30
yVexample:
streak with negative sign, “time” axis flipped:
“energy” axis“time” axis
desired effect
imaging of long phase space to “time” & “energy” is not changed by sign of streaksignificant “time” “energy” crosstalk for large streakno crosstalk horizontal phase space to “time”crosstalk horizontal to “energy” does not change with sigh of streakcrosstalk vertical to “time” & “energy” flips with sigh of streaksymmetric vertical phase space LOLA picture does not change with sign of streak
imaging: entrance-LOLA to OTR
streak (Vy) with positive sign:
MeV 700
MV 30
yVexample:
streak with negative sign, “time” axis flipped:
“energy” axis“time” axis
desired effect
about reconstruction of filamentary phase space
based on the assumption of an filamentary phase space, a reconstructionmethod from two measurements with different sign of streak is proposed:
none of the errors, mentioned on the last transparency, is correctedby this method!
real LOLA measurement
streak with both signs:
weak difference!symmetric vertical phase space?
simulated LOLA measurement: no transverse beam dimensions
black = long. phase spaceblue = LOLA simulation
all pictures: full OTR screen in pixels
(PLOLA=25MW)
simulated LOLA measurement: no transverse beam dimensions
same picture for both streaks, no error in time measurement
right direction, but not enough
“time” measurement:only crosstalk from vertical phase space
CK still unknown; horizontal part depends on cavity operation
vertical CK perhaps overestimated
summary
“energy” measurement:significant crosstalk from “time” meas. for strong streakcrosstalk from hor. & vert. phase-spacevert. phase space: sign flips with streak
CK affects LOLA measurementhorizontal “energy” measurementvertical “energy” and “time”