IES Calibration Modeling Phil Valek and Roman Gomez May 29, 2013.
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Transcript of IES Calibration Modeling Phil Valek and Roman Gomez May 29, 2013.
Calibration notes
• Calibration performed over 3 different time periods, with the last occurring as part of a refurbishment– Oct 1999– Sept 2001– July 2003 (15 keV and 2 keV)
• Calibration perform primarily with positive ions and some tests with negative ions
• Records of most of the facility states (i.e. incident beam flux) have been lost– Beam position and energy information is known
Overall Goals
• Use a pre-existing SIMION simulation model to determine transmission characteristics of the IES electron ESA
• Compare simulation and calibration results to arrive at reasonable Geometric Factor (G) values for all 16 azimuth anodes
• Apply these findings to in-flight instrument data (forthcoming)
Simulation Technique: Reverse-fly
• Particles are started from the detector and flown out of the ESA
• Position, angle, energy, and velocity values are recorded for particles exiting the analyzer
• Particle trajectories are reversed (velocity vectors in particular) and the inverted quantities are used to determine the ESA transmission characteristics
Simulation Geometry
• Acquired from Greg Miller• Rotated for ease of simulating Electron ESA• 1:1 dimensional correspondence with flight model• SIMION model includes potential arrays for individual
ESA plates, detectors and deflection electrodes• All potential array are programmatically adjustableSide View: Electron ESA Bottom
IES: Iso-view
Reverse Fly of IES• Four Energies Chosen: 17.26 eV, 172.60
eV, 1756.23 eV, and 17670 eV.• Preliminary: Particles gridded in energy,
angles, and position systematically flown from the detector to define the edges of the ESA’s transmission envelope
• Once found, the limiting trajectories are used to “bracket” the values of a randomized distribution at the detector.
• Transmission envelope at 17.26 eV shown in three views: ESA Voltage = 1.628 V
Side View
Top View Edge-on View
Flyback Checks
Side View
Top View
Edge-on View
Edge-on View w/2500 V on MCP
17.26 eV Flyback Results
Energy-Impact Differences
• The impact positions of lower energy particles spread out because of the field between the ESA exit and the detector at 2500 V
17.26 eV hit positions w/2500 V on MCP
17.67 keV hit positions w/2500 V on MCP
Simulation Results
13 14 15 16 17 18 19 20 21 220.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Energy Response-17.26 eV
Norm
aliz
ed R
esp
onse
Energy (eV)
Model Extreme
Equation double z = (x-xc)/w;y = y0+A*exp(-exp(-z)-z+1);
Reduced Chi-Sqr 1.26872E-4
Adj. R-Square 0.99878
Value Standard Error
Normalized Response y0 -0.00596 0.0019
Normalized Response xc 17.0297 0.00295
Normalized Response w 0.585 0.0035
Normalized Response A 1.00011 0.00446
140 150 160 170 180 190 200 2100.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Energy Response-172.60 eV
Norm
aliz
ed R
esp
onse
Energy (eV)
1500 1600 1700 1800 1900 2000 21000.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Energy (eV)
Normalized Response
16000 17000 18000 19000 20000 210000.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Energy (eV)
Model Extreme
Equation double z = (x-xc)/w;y = y0+A*exp(-exp(-z)-z+1);
Reduced Chi-Sqr
3.77517E-4
Adj. R-Square 0.99659
Value Standard Error
Normalized Response
y0 -0.01073 0.0024
Normalized Response
xc 17769.36958 2.45794
Normalized Response
w 627.19612 3.43772
Normalized Response
A 0.9707 0.0036
17.26 eV 172.60 eV 1756.23 eV 17670.20 eV
Energy
-6 -4 -2 0 2 4 60.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Azimuth Response-17.26 eV
Norm
aliz
ed R
esp
onse
Azimuth (degrees)
-6 -4 -2 0 2 4 60.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Azimuth Response-172.60 eV
Norm
aliz
ed R
esp
onse
Azimuth (degrees)
-6 -4 -2 0 2 4 60.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Alpha (degrees)
Normalized Response
-6 -4 -2 0 2 4 60.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Alpha (degrees)
Alpha-Elevation
14
Simulation Results
-10 -5 0 5 100.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Elevation Response 5 degree detector section-17.26 eV
Norm
aliz
ed R
esp
onse
Elevation (degrees)
Model Asym2Sig
Equation y =y0+ A*(1/(1+exp(-(x-xc+w1/2)/w2)))*(1-1/(1+exp(-(x-xc-w1/2)/w3)))
Reduced Chi-Sqr 2.39317E-4
Adj. R-Square 0.99812
Value Standard Error
Normalized Response y0 -7.14467E-4 0.00131
Normalized Response xc 0.00662 0.00566
Normalized Response A 0.95802 0.00385
Normalized Response w1 4.98099 0.01459
Normalized Response w2 0.41196 0.00806
Normalized Response w3 0.40656 0.00799
-15 -10 -5 0 5 10 150.0
0.2
0.4
0.6
0.8
1.0
IES-electrons Elevation Response-172.60 eV
Norm
aliz
ed R
esp
onse
Elevation (degrees)
-5 0 50.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Beta (degrees)
Normalize to [0, 1] of "Count"
-10 -5 0 5 100.0
0.2
0.4
0.6
0.8
1.0
Norm
aliz
ed R
esp
onse
Beta (degrees)
Normalize to [0, 1] of "Count"
14 15 16 17 18 19 20 21
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
Energy (eV)
Azi
mu
th (
de
gre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000Energy-Alpha Response (17.26 eV)
150 160 170 180 190 200 210
-6
-4
-2
0
2
4
6
Energy (eV)
Azi
mu
th (
de
gre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000Energy-Alpha Response (172.60 eV)
Beta-Azimuth
Integrated Response
15
Tabulated ResultsEnergy (eV) <dE/E d(Alpha)>
(eV/eV*rad)A(eff) (squ. cm) d(Beta) (rad) G(pixel)( squ
cm*sr*eV/eV)17.26 2.67e-3 0.11 0.393 1.15e-4172.60 2.60e-3 0.11 0.393 1.12e-41756.23 2.64e-3 0.11 0.393 1.14e-417670.6 2.44e-3 0.11 0.393 1.05e-4
Geometric Factors are determined with Gosling’s formula:
E
EAG eff
Where:• Aeff is determined by flying a normal incidence beam
from a set area and then computingflown
flown
transeff A
N
NA
• <E/E α> is determined by flying a normal incidence beam from a set area and then computing:
ji
jij
i N
N
E
E
E
E,
max
,
• And is the coverage of one azimuth anode 22.5°= 0.393 radians.
17
150 155 160 165 170 175 180 185 190 195 200
-56
-54
-52
-50
-48
-46
Ion Def = -55 V; Electron Def = 55 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
Ion Def = 63 V; Electron Def = -63 V;
18
150 160 170 180 190 200
-56
-54
-52
-50
-48
-46
-44
-42
-40
-38Ion Def = 55 V; Electron Def = -55 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
19
150 155 160 165 170 175 180 185 190 195 200-48
-46
-44
-42
-40
-38
-36
Ion Def = 47 V; Electron Def = -47 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
20
150 155 160 165 170 175 180 185 190 195 200
-36
-34
-32
-30
Ion Def = 38 V; Electron Def = -38 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
21
150 155 160 165 170 175 180 185 190 195 200-30
-28
-26
-24
-22Ion Def = 30 V; Electron Def = -30 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
22
150 155 160 165 170 175 180 185 190 195 200
-22
-20
-18
-16
Ion Def = 21 V; Electron Def = -21 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
23
150 155 160 165 170 175 180 185 190 195 200
-16
-14
-12
-10
Ion Def = 13 V; Electron Def = -13 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
24
150 155 160 165 170 175 180 185 190 195 200
-8
-6
-4
-2
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000Ion Def = 4 V; Electron Def = -4 V; ESA = 16.283 V
25
150 155 160 165 170 175 180 185 190 195 200-6
-4
-2
0
2Ion Def = 0V; Electron Def = 0V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
26
150 155 160 165 170 175 180 185 190 195 200-2
0
2
4
6Ion Def = -4 V; Electron Def = 4 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
27
150 155 160 165 170 175 180 185 190 195 200
6
8
10
12
Ion Def = -13 V; Electron Def = 13 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
28
150 155 160 165 170 175 180 185 190 195 20012
14
16
18
20Ion Def = -21 V; Electron Def = 21 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
29
150 155 160 165 170 175 180 185 190 195 20018
20
22
24
26Ion Def = -30 V; Electron Def = 30 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
30
150 155 160 165 170 175 180 185 190 195 200
24
26
28
30
32
Ion Def = -38 V; Electron Def = 38 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
31
150 155 160 165 170 175 180 185 190 195 200
30
32
34
36
38
40
42
44
Ion Def = -47 V; Electron Def = 47 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
32
150 155 160 165 170 175 180 185 190 195 20034
36
38
40
42
44
46
48
50
52
54Ion Def = -55 V; Electron Def = 55 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
33
150 155 160 165 170 175 180 185 190 195 200
40
50
60
Ion Def = -63 V; Electron Def = 63 V; ESA = 16.283 V
Energy (eV)
Alp
ha (
degre
es)
0.000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.000
Remaining analysis
• Scale simulation results to match calibration values– The simulation generally agrees with the calibration results with
small differences– Example: Analyzer constant- simulated 10.6 vs calibration 10.8
• Determine Geometric factor for each IES energy / angle step– Simulation values assume 100% grid transmission and 100%
detector efficiency– Using 2003 calibration data, we can determine the scaling factor
for 2 and 15 keV– Published MCP efficiencies will be used to fill in the remaining
energies• Produce an analytical model of the IES response