From: Shirvel Stanislaus <sstanislaus@valpo.edu>
Date: Tue, 25 Sep 2001 11:08:55 -0600
To: e614-s3@relay.phys.ualberta.ca
Subject: Comparison of Alignments
Attached is a report comparing the detector alignments done by Maher and
the Valpo group.
Shirvel
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T 4 colorimage
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ncolors 0 ne
dup startnoload
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3 getinterval
putinterval exch
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byte 15 and
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byte -2 bitshift
3 and
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byte 3 and
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7 -1 roll
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0 padfix getinterval
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12 createexpandstr
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systemdict/setcmykcolor known
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T
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F
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iw ih 8[iw 0 0 ih 0 0]
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pop 4
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colorimage
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dup startnoload
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str dup
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{
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str dup
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{
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15
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3
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dup endnoload not dup startnoload
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[0 1 0 1 0 1]
dockeyimg
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/arct
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arcto pop pop pop pop
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/y1 Z
/y2 Z
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np
x2 x1 add 2 div y1 :M
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x1 y2 x1 y1 rad arct
x1 y1 x2 y1 rad arct
:K
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gS
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gS
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gS
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gR
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40
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//md
ne
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get
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get
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gsave 1 getinterval show grestore
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rmoveto
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gsave 1 getinterval show grestore
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findfont dup length dict
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level2{
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copyfontdict
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copyfontdict
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fD
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:j
gR
gS 0 0 2300 3033 rC
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f102 sf
.031 .003(Comparison of Maher's and Valpo's Alignment)J
175 333 :M
f115 sf
.02 .002(This brief report is in response to some of the questions that Maher had raised comparing his alignment to)J
175 379 :M
.018 .002(that done by the Valpo group. The main issues are.)J
175 471 :M
(1.)S
231 471 :M
.021 .002( In translational alignment, while both alignments give means in the residuals to a few microns, there are)J
231 517 :M
.021 .002(offset differences up to about 300 microns in the translational offsets determined by the two methods.)J
175 608 :M
(2.)S
231 608 :M
.022 .002(In rotational alignment, Maher doesn't see a need for an alignment whereas the V)J
1706 608 :M
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231 654 :M
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.016 .002(I do not think we could compare the two sets of parameters. All we could compare is the net result of the)J
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.02 .002(alignment \(i.e. the means, sigmas etc.\). The parameters depend on the planes one hold fixed. Now the line)J
175 938 :M
.022 .002(connecting the two fixed planes may not be parallel to the z-axis \(defined by the magnetic field\). The next)J
175 984 :M
.02 .002(step of the alignment is to align this axis of the fixed planes with the magnetic field. For this we need the)J
175 1030 :M
.019 .002(magnetic field. At present Don and Danny are working on this. Once this is done all the offsets will change.)J
175 1076 :M
.024 .002(This alignment cannot be done for the August/September data.)J
250 1167 :M
.019 .002(I am not sure if Maher holds any planes fixed or not. Whether they are held fixed or not, the alignment)J
175 1213 :M
.021 .002(will define some axis in the detector, which needs to be aligned with the magnetic field.)J
250 1305 :M
.014 .001(The only way one could compare )J
865 1305 :M
.019 .002(the two sets of parameters is by holding the same planes fixed in both)J
175 1351 :M
.015 .002(sets. Since we did not have access to Maher's parameters, we have read them off of the graph, and normalized)J
175 1397 :M
.016 .002(the parameters by making the offsets of planes 1, 2, 15, and 16 \(the ones we held fixed\) zero. In the plot below,)J
175 1442 :M
.022 .002(we have compared the Valpo offsets with the 'normalized' Maher offsets. They appear identical. This explains)J
175 1488 :M
.019 .002(why both sets gave similar means for residuals.)J
250 1580 :M
.017 .002(This also shows that an alignment is complete only when all aspects of the alignment are done. It is not)J
175 1626 :M
.027 .003(possible to compare intermediate values, unless properly normalized.)J
endp
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np 973 1756 :M
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1157 1756 :L
1157 1712 :L
eofill
0 G
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47 1158.5 1712 @w
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1247 2242 :L
1247 1756 :L
eofill
0 G
31 1247 1757.5 @c
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.6 .2 .4 :F
np 1341 1288 :M
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1366 1756 :L
1341 1756 :L
1341 1288 :L
eofill
0 G
28 1341 1289.5 @c
471 1367.5 1288 @w
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471 1342.5 1288 @w
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np 1431 1756 :M
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1456 1996 :L
1431 1996 :L
1431 1756 :L
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np 1521 1756 :M
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np 1796 1385 :M
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np 1980 1756 :M
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1980 1909 :L
1980 1756 :L
eofill
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28 1980 1757.5 @c
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np 2070 1647 :M
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np 2164 1756 :M
2189 1756 :L
2189 1877 :L
2164 1877 :L
2164 1756 :L
eofill
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28 2164 1757.5 @c
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28 2164 1878.5 @c
124 2165.5 1756 @w
gR
0 G
gS 115 967 2130 1456 rC
.012 lw
1266.012 287.006 1032 @w
10.012 277 2298.006 @c
10.012 277 2117.006 @c
10.012 277 1937.006 @c
10.012 277 1756.006 @c
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3.119 3.118 scale
70.223 740.485 :M
f60 sf
.336(-60)A
gR
gS
3.119 3.118 scale
70.223 682.44 :M
f60 sf
.336(-40)A
gR
gS
3.119 3.118 scale
70.223 624.394 :M
f60 sf
.336(-20)A
gR
gS
3.119 3.118 scale
79.201 566.348 :M
f60 sf
(0)S
gR
gS
3.119 3.118 scale
74.071 508.302 :M
f60 sf
(20)S
gR
gS
3.119 3.118 scale
74.071 450.577 :M
f60 sf
(40)S
gR
gS
3.119 3.118 scale
74.071 392.531 :M
f60 sf
(60)S
gR
gS
3.119 3.118 scale
74.071 334.485 :M
f60 sf
(80)S
gR
gS
3.119 3.118 scale
105.174 581.421 :M
f60 sf
(1)S
gR
gS
3.119 3.118 scale
134.354 581.421 :M
f60 sf
(2)S
gR
gS
3.119 3.118 scale
163.212 581.421 :M
f60 sf
(3)S
gR
gS
3.119 3.118 scale
193.354 581.421 :M
f60 sf
(4)S
gR
gS
3.119 3.118 scale
222.212 581.421 :M
f60 sf
(6)S
gR
gS
3.119 3.118 scale
251.071 581.421 :M
f60 sf
(7)S
gR
gS
3.119 3.118 scale
281.213 581.421 :M
f60 sf
(8)S
gR
gS
3.119 3.118 scale
310.071 581.421 :M
f60 sf
(9)S
gR
gS
3.119 3.118 scale
336.365 581.421 :M
f60 sf
(10)S
gR
gS
3.119 3.118 scale
366.186 581.421 :M
f60 sf
(11)S
gR
gS
3.119 3.118 scale
395.365 581.421 :M
f60 sf
(12)S
gR
gS
3.119 3.118 scale
424.224 581.421 :M
f60 sf
(13)S
gR
gS
3.119 3.118 scale
454.365 581.421 :M
f60 sf
(14)S
gR
gS
3.119 3.118 scale
483.224 581.421 :M
f60 sf
(15)S
gR
gS
3.119 3.118 scale
512.083 581.421 :M
f60 sf
(16)S
gR
gS
3.119 3.118 scale
542.224 581.421 :M
f60 sf
(17)S
gR
gS
3.119 3.118 scale
571.083 581.421 :M
f60 sf
(18)S
gR
gS
3.119 3.118 scale
600.262 581.421 :M
f60 sf
(19)S
gR
gS
3.119 3.118 scale
630.083 581.421 :M
f60 sf
(20)S
gR
gS
3.119 3.118 scale
659.262 581.421 :M
f60 sf
(21)S
gR
gS
3.119 3.118 scale
688.121 581.421 :M
f60 sf
(22)S
gR
1141 2326 212 56 rC
gS
3.119 3.118 scale
368.11 758.444 :M
f89 sf
-.215(Plane Number)A
gR
gR
.012 lw
gS 0 0 2300 3033 rC
gS
3.119 3.118 scale
62.207 607.397 :T
270 rotate
-62.207 -607.397 :T
62.207 607.397 :M
f89 sf
-.109(Mean of the Residuals \(microns\))A
gR
156 1435 56 464 rC
:imsv $m currentmatrix pop
165 1441 :T
3.083 3.117 scale
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0 1 2 2
7 1 2 2
9 2 1 2
6 4 1 2
3 4 1 3
5 4 1 3
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]rCa)saferCa
$m setmatrix
12 145 8 36 [37 0 0 452 165 1441] F T 14 F :f
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:j
gR
gS 0 0 2300 3033 rC
175 212 :M
f128 sf
.05 .005(Rotational Offsets)J
175 217 418 3 rF
250 306 :M
f115 sf
.022 .002(Just as in translational alignment, in rotational alignment one need to fix two planes. As mentioned in the)J
175 352 :M
.024 .002(June collaboration meeting and in the report for the September meeting, the fixing of two planes may)J
175 397 :M
.019 .002(introduce a twist in the detector. The next step in the alignment is to take out the twist. This can be done with)J
175 443 :M
.022 .002(the magnetic field. Until this is done, the alignment is not complete. The current offsets are relative to the)J
175 489 :M
.026 .003(planes that are fixed.)J
250 581 :M
.021 .002(Even though Maher doesn't think there is a need for rotational alignment, we do see a significant need.)J
175 627 :M
.022 .002(Rotational misalignments do not show up in residuals if one integrates over the entire chamber. They will)J
175 672 :M
.009 .001(show up only if you look at u planes with v > 0 and v < 0 or at v planes with u > 0 and u < 0. We have done)J
175 718 :M
.018 .002(that and the results are shown in the plot below. The analysis was done with the 'best' )J
1740 718 :M
.034 .003(translational offsets but)J
175 764 :M
.019 .002(with no rotational offsets. For each plane there are two means \(one each for events on either side\). You can)J
175 810 :M
.023 .002(see very clearly how the means are shifted in either direction, the effect of rotational misalignment. For plane)J
175 856 :M
.019 .002(22, they are both in the same direction, because the translational offsets I used in the analysis were not the)J
175 902 :M
.023 .002(final ones for that plane.)J
endp
showpage
%%Trailer
end
%%EOF
Comparison of Alignments / Shirvel Stanislaus
- Created for the The Center for Subatomic Research E614 Project Projects Page.
- Created by The CoCoBoard.