Method for measuring engineering collimation parameters of accelerator
A measurement method and accelerator technology, applied in the direction of measurement devices, instruments, optical devices, etc., can solve the problems of Newton's method relying on initial values, generating deviations, and the robust solution method does not have automatic weighting, so as to improve calculation efficiency and accuracy Effect
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Embodiment 1
[0123] Example 1: Calculation of large angles by damped least squares method
[0124] Case 1 has a theoretical value and belongs to a large angle, so the damped least square method is used to calculate and compare with the theoretical value. The specific results are shown in Tables 1 and 2.
[0125] Table 1 Method 1 test data table
[0126]
[0127] Table 2 Method 1 Collimation parameter calculation value error and its comparison table with theoretical value
[0128]
Embodiment 2
[0129] Embodiment 2: Calculation of coordinate system eccentricity by structure overall least squares method
[0130] The coordinate system of Case 2 is eccentric, so it is calculated according to the overall least squares method of the structure. See Tables 3, 4, and 5 for details.
[0131] Table 3 method 2 test data table
[0132]
[0133] Table 4 Method 2 test data translation statistics table
[0134] dot
DX(mm)
DY(mm)
DZ(mm)
1
0.11
-0.42
-5.9
2
0.24
-0.28
-5.92
3
0.01
-0.41
-6.31
4
-0.68
-0.02
-6.15
5
-0.61
0.07
-6.15
6
-0.62
-0.18
-6.5
7
-0.46
-0.13
-6.5
average value
-0.29
-0.2
-6.2
median
-0.46
-0.18
-6.15
[0135] Table 5 Method 1 Collimation parameter calculation value error table
[0136]
Embodiment 3
[0137] Example 3: Quasi-stable estimation method with gross errors
[0138] Gross error cases are calculated according to pseudo-stable estimates, and the specific results are shown in Tables 6, 7 and 8.
[0139] Table 6 Method 3 test data table (no gross error)
[0140]
[0141] Table 7 Method 3 test data table (gross error)
[0142]
[0143] Table 8 Method 3 with or without gross error calculation parameter result comparison table
[0144]
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