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Optics measurements through K- MODULATION in LHC IR 4. Emittance Meeting 05/12/2012. Motivation :. negligible. Since :. Therefore:. Reducing the Uncertainty on the beta. Emittance Meeting 05/12/2012. Technique :. Inducing a change in the strength of the quadrupole (k) - PowerPoint PPT Presentation
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1
Optics measurementsthrough
K- MODULATION in
LHC IR 4
Emittance Meeting05/12/2012
2 Emittance Meeting 05/12/2012
𝛿𝜀𝜀
=√( 𝛿𝜎2
𝜎2 )2
+( 𝛿 𝛽𝛽 )2
𝜀𝑥 , 𝑦=𝛾𝛽𝑥 , 𝑦
(𝜎 2−𝐷2(𝑑𝑝𝑝 )2)
Since :
Motivation:
Therefore:
Reducing the Uncertainty on the
beta.
negligible
Checked with sub % differences
3 Emittance Meeting 05/12/2012
Technique:
Far from integer and half integer tune resonances (our case)
• Inducing a change in the strength of the quadrupole (k)• Measuring the resulting tune change
Where:
4 Emittance Meeting 05/12/2012
• Injection @ 450 GeV
Interesting results, worth checking for changes at higher energy
• FlatTop @ 4000 TeV + Unsqueezed optics
• FlatTop @ 4000 TeV + Squeezed optics
ADT OFF+
INJECTION TUNES
(less coupling)
K Modulation in IR 4 was repeated at:
BEFORE THE SQUEEZE AFTER THE SQUEEZESQUEEZE
5
RQ6 R4 Beam 1 @450 GeV
Emittance Meeting 05/12/2012
6 Emittance Meeting 05/12/2012
7 Emittance Meeting 05/12/2012
8 Emittance Meeting 05/12/2012
IP 4
D3
ws
bsrt
MQ.5R4
.B2
MQ.5L4.B2
MQ.6L4.B2
9 Emittance Meeting 05/12/2012
INJECTION FLATTOP BEFORE SQUEEZE
FLATTOP AFTER SQUEEZE
MQY . 5L4 . B1MQY . 5R4 . B1MQY . 6R4 . B1MQM . 7R4 . B1
MQY . 5L4 . B1MQY . 5R4 . B1MQY . 6R4 . B1MQM . 7R4 . B1
MQY . 5L4 . B1MQY . 5R4 . B1MQY . 6R4 . B1MQM . 7R4 . B1
MQY . 5R4 . B2MQY . 5L4 . B2MQY . 6L4 . B2
MQY . 5R4 . B2MQY . 5L4 . B2MQY . 6L4 . B2
MQY . 5R4 . B2MQY . 5L4 . B2MQY . 6L4 . B2
LIST OF THE MODULATED QUADRUPOLES :
BEAM 1
BEAM 2
MQY errors in the transfer function
Bad measurement due to noisy tune steps
10 Emittance Meeting 05/12/2012
11 Emittance Meeting 05/12/2012
12 Emittance Meeting 05/12/2012
200 250 300 350 400 450 500 550 600 650 700
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 L4 B1 HOR
80 100 120 140 160 180 200 220 240 260
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 L4 B1 VER
BEAM 1
13 Emittance Meeting 05/12/2012
80 100 120 140 160 180 200 220 240 260 280
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 R4 B1 HOR
200 250 300 350 400 450 500 550 600 650
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 R4 B1 VER
BEAM 1
14 Emittance Meeting 05/12/2012
200 300 400 500 600 700
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ6 R4 B1 HOR
60 80 100 120 140 160 180 200
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ6 R4 B1 VER
BEAM 1
15 Emittance Meeting 05/12/2012
30 40 50 60 70 80 90 100 110
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ7 R4 B1 HOR
60 80 100 120 140 160 180
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ7 R4 B1 VER
BEAM 1
16 Emittance Meeting 05/12/2012
200 250 300 350 400 450 500 550 600 650 700
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 R4 B2 HOR
100 150 200 250 300
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 R4 B2 VER
BEAM 2
17 Emittance Meeting 05/12/2012
80 100 120 140 160 180 200 220 240
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 L4 B2 HOR
300 400 500 600 700 800
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ5 L4 B2 VER
BEAM 2
18 Emittance Meeting 05/12/2012
200 250 300 350 400 450 500 550 600 650
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ6 L4 B2 HOR
80 100 120 140 160 180 200 220 240 260 280
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
RQ6 L4 B2 VER
BEAM 2
19 Emittance Meeting 05/12/2012
Transport MEASURED VALUES AT RQ TO WS + UND +D3
1) ANALYTICAL METHOD
2) MATCHING WITH MADX
ONLY WITH 2 QUADRUPOLES
WITH 3 QUADRUPOLES
20 Emittance Meeting 05/12/2012
1) ANALYTICAL METHOD
IP 4
UND
ws
MQ.5R4
.B1
MQ.6R4
.B1
MQ.7R4
.B1
MQ.5L4.B1
Transport Matrix between two point in the line is give by
Where
Depends only on: α,β,µ
SO ….
21 Emittance Meeting 05/12/2012
IP 4
UND
ws
MQ.5R4
.B1
MQ.6R4
.B1
MQ.7R4
.B1
MQ.5L4.B1
@6@UND
T UND6
@6@5
T 65
KNO
WN
FO
RM M
OD
EL
{𝜷𝑼𝑵𝑫=𝒂𝑼𝑵𝑫𝟔 .𝜷𝟔+𝒃𝑼𝑵𝑫𝟔 .𝜶𝟔+𝒄𝑼𝑵𝑫𝟔 .𝜸𝟔
¿𝜷𝟓=𝒂𝟓𝟔 .𝜷𝟔+𝒃𝟓𝟔 .𝜶𝟔+𝒄𝟓𝟔 .𝜸𝟔
22 Emittance Meeting 05/12/2012
2) MATCHING WITH MADX
IR 4
LINEIP 4
UND
ws
MQ.5R4
.B1
MQ.6R4
.B1
MQ.5L4.B1
Element 1
VARY
ConstraintsConstraints
β m
eas
σ meas
23 Emittance Meeting 05/12/2012
β ca
lc
σ cacl
ANALYTICAL METHOD
MATCHING
Q 1
Q 2
Q 1
Q 2
Q 3
β WS/UND x,y
Include Errors
24 Emittance Meeting 05/12/2012
RESU
LTSINJECTIONBE
AM 1
BEAM
2MODEL Beta-beating Best Analytical matching
WS X 165.484 158.83 ± 13 % 181.2 ± 6.45 % 183.7± 11.5%
Y 287.814 280.99 ± 12.3% 287.1 ± 4.22 % 286.9± 3.34%
Undulator X 178.144 174.93 ± 13.2% 199.9 ± 9.75 % 196.8± 13.3%
Y 192.094 188.1 ± 22.1% 189 ± 4.94 % 187.5± 3.24%
MODEL Beta-beating Best Analytical matching
WS X 123.512 126.43 ± 9.5% 124.2 ± 2.04% 125.3 ± 4.05%
Y 404.551 418.95 ± 8.5% 424.7 ± 3.33% 412.9 ± 2.78%
Undulator X 127.535 129.3 ± 16.2% 126.5 ± 3 % 172.7 ± 2.82%
Y 332.832 344.02 ± 7.4% 354 ± 2.72 % 351.2 ± 4.2%
25 Emittance Meeting 05/12/2012
RESU
LTS BE
AM 1
BEAM
2MODEL Beta-beating Best Analytical matching
WS X 165.484 151.74 ± 12.1% 159.2 ± 6.45% 173.3±12%
Y 287.814 292.0 ± 10.68% 288.2 ± 10.9% 284±6.82
D3 X 172.967 158.7 ± 8.76% 165.4 ± 5.35% 177.3±12%
Y 214.595 209.51 ± 0.75% 207.5 ± 3.1% 213 ±11%
MODEL Beta-beating Best Analytical matching
WS X 123.512 122.91 ± 2.75% 118.7 ± 4.2%
Y 404.551 451.04 ± 23.11% 438.7 ± 4.1%
D3 X 127.090 124.96 ± 11.87% 122.1 ± 6.2%
Y 334.613 381.16 ± 23.37% 358.8 ± 3.9%
FLATTOP BEFORE SQUEEZE
26 Emittance Meeting 05/12/2012
RESU
LTS
FLATTOP AFTER SQUEEZEBE
AM 1
BEAM
2MODEL Beta-beating Best Analytical matching
WS X 165.484 159.27 ± 23.6% 161.7 ± 7.5 % 179.9±16%
Y 287.814 280.4 ± 7.13% 274.8 ± 5.72% 276.3±3.3%
D3 X 172.967 167.43 ± 24.5% 174.5 ± 7.77%
Y 214.595 203.65 ± 11.27% 206.5 ± 4.2%
MODEL Beta-beating Best Analytical matching
WS X 123.512 127.52 ± 96.6% 114.3 ± 6.2% 119.1±8.3%
Y 404.551 413.24 ± 7.18% 410.4 ± 1.33% 413.6±1.6%
D3 X 127.090 126.34 ± 17% 126.2 ± 2.7% 122.3±9.5%
Y 334.613 358.9 ± 23.72% 340 ± 4.545% 344±2%
27 Emittance Meeting 05/12/2012
80 100 120 140 160 180 200 220 240 260
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
WS B1 HOR
150 200 250 300 350 400 450
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
WS B1 VER
28 Emittance Meeting 05/12/2012
60 80 100 120 140 160 180
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
WS B2 HOR
200 250 300 350 400 450 500 550 600
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
WS B2 VER
29 Emittance Meeting 05/12/2012
80 100 120 140 160 180 200 220 240 260 280
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
SR Source B1 HOR
100 150 200 250 300
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
SR Source B1 VER
30 Emittance Meeting 05/12/2012
60 80 100 120 140 160 180 200
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
SR Source B2 HOR
150 200 250 300 350 400 450 500
MEAS. after Squeeze
MEAS. before Squeeze
MEAS. at Injection
MODEL
SR Source B2 VER
31 Emittance Meeting 05/12/2012
For meas. During ramp,beta values
are obtained from linear
interpolation of the 450GeV
values and 4 TeV values
Plots Courtesy of Maria Kuhn
Beta from model
32 Emittance Meeting 05/12/2012
For meas. During ramp,beta values
are obtained from linear
interpolation of the 450GeV
values and 4 TeV values
Beta from beta beating
Plots Courtesy of Maria Kuhn
33 Emittance Meeting 05/12/2012
For meas. During ramp,beta values
are obtained from linear
interpolation of the 450GeV
values and 4 TeV values
Beta from K mod
Plots Courtesy of Maria Kuhn
34 Emittance Meeting 05/12/2012
Preliminary results for the BGI:
MODEL Beta-beating4 TeV - Sqz
Analytical4 TeV - Sqz
Beta-beating4 TeV + Sqz
Analytical4 TeV + Sqz
BGI
Beam1
X 310.35 287.7 ± 1.8 % 281.1 ± 7.83% 318.7 ± 3.21% 305.9 ± 18%
Y 95.1 95.57 ± 3.9% 93.4 ± 5.97% 97.63 ± 15.6 % 95.89 ± 8.35%
MODEL Beta-beating4 TeV - Sqz
Analytical4 TeV - Sqz
Beta-beating4 TeV + Sqz
Analytical4 TeV + Sqz
BGI
Beam2
X 273.42 273.8 ± 14.5 % 262.8 ± 14% 271.1 ± 20.9% 277.1 ± 5.3%
Y 212.51 232.9 ± 17.7% 224.1 ± 3.6% 219.46 ± 16.8% 216.9± 1.89%
35 Emittance Meeting 05/12/2012
Preliminary results for the BGI:
THANK YOU FOR YOUR ATTENTION
Emittance Meeting 05/12/201236