High Emittance Mode誤差の影響と補正
Type …… 上から順に、
Q_X 4極だけに水平方向のみの据え付け誤差(50μm)を入れた場合。
Q_Y 4極だけに垂直方向のみの据え付け誤差(50μm)を入れた場合。
S_X 6極だけに水平方向のみの据え付け誤差(50μm)を入れた場合。
S_Y 6極だけに垂直方向のみの据え付け誤差(50μm)を入れた場合。
all 据え付け誤差50μm、回転誤差0.2mrad、強さの誤差0.05%を偏向磁石、4極磁石、6極磁石の全てに入れた場合。
Seed …… 乱数の種
X or Y …… 方向
COD …… CODのRMS(単位はmm)
Eta …… 分散関数の歪みのRMS(単位はmm)
tune …… リング1周のチューン
Before or after …… 補正前後での値
Sext …… 6極を切らずに補正が出来た(○)か、出来なかった(●)か。(6極を切らないと解が求まらないことがある。)
EV …… 補正に用いた固有値の数 Xは、CODが小さすぎて補正できない(必要ない)場合。
Dynamic Aperture …… 運動量が±4%(0.5%刻み)における振幅方向のダイナミックアパーチャー。何σまわったか。
Type | seed | Before | Sext | EV | after | Dynamic Aperture | |||||||||||||||
COD | Eta | tune | COD | Eta | tune | -2.5 | -2 | -1.5 | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 | |||||
Q_X GCUT2 5E-5 | 17 | X | 1.06827 | 5.754 | 14.26 | ○ | 40 | 0.01339 | 0.352 | 14.26 | 0 | 68 | 68 | 80 | 88 | 88 | 84 | 80 | 64 | 0 | 0 |
Y | 0 | 0 | 12.19 | 0 | 0 | 0 | 12.19 | 0 | 124 | 128 | 144 | 156 | 144 | 140 | 140 | 140 | 0 | 0 | |||
125 | X | 1.15896 | 4.265 | 14.27 | ○ | 40 | 0.0172 | 0.314 | 14.26 | 0 | 52 | 68 | 80 | 88 | 92 | 84 | 72 | 52 | 0 | 0 | |
Y | 0 | 0 | 12.19 | 0 | 0 | 0 | 12.19 | 0 | 124 | 124 | 144 | 148 | 148 | 144 | 140 | 136 | 0 | 0 | |||
513 | X | 1.21093 | 5.211 | 14.26 | ○ | 40 | 0.01905 | 0.39 | 14.26 | 0 | 56 | 68 | 80 | 88 | 92 | 88 | 76 | 60 | 0 | 0 | |
Y | 0 | 0 | 12.19 | 40 | 0 | 0 | 12.19 | 0 | 120 | 124 | 144 | 148 | 144 | 144 | 136 | 132 | 0 | 0 | |||
1188 | X | 1.45324 | 5.543 | 14.27 | ○ | 0.0218 | 0.507 | 14.26 | 0 | 60 | 68 | 84 | 92 | 88 | 84 | 84 | 72 | 0 | 0 | ||
Y | 0 | 0 | 12.19 | 0 | 0 | 0 | 12.19 | 0 | 124 | 124 | 144 | 148 | 148 | 140 | 144 | 136 | 0 | 0 | |||
34529 | X | 0.93667 | 4.271 | 14.26 | ○ | 40 | 0.04934 | 0.717 | 14.26 | 0 | 52 | 68 | 76 | 88 | 92 | 84 | 80 | 72 | 0 | 0 | |
Y | 0 | 0 | 12.19 | 0 | 0 | 0 | 12.19 | 0 | 124 | 124 | 144 | 148 | 152 | 140 | 144 | 136 | 0 | 0 | |||
ave | X | 1.16561 | 5.009 | 14.26 | 0.02416 | 0.456 | 14.26 | 0 | 57.6 | 68 | 80 | 88.8 | 90.4 | 84.8 | 78.4 | 64 | 0 | 0 | |||
Y | 0 | 0 | 12.19 | 0 | 0 | 12.19 | 0 | 123.2 | 124.8 | 144 | 149.6 | 147.2 | 141.6 | 140.8 | 136 | 0 | 0 | ||||
Q_Y GCUT2 5E-5 | 17 | X | 0.00637 | 0.252 | 14.26 | ○ | 0 | 0.00041 | 0.013 | 14.26 | 0 | 60 | 68 | 80 | 88 | 92 | 84 | 80 | 76 | 0 | 0 |
Y | 0.80855 | 5.964 | 12.19 | 20 | 0.07502 | 1.889 | 12.19 | 0 | 120 | 128 | 144 | 148 | 144 | 140 | 140 | 136 | 0 | 0 | |||
125 | X | 0.01486 | 0.437 | 14.26 | ○ | 0 | 1.15E-04 | 0.032 | 14.26 | 0 | 52 | 68 | 80 | 88 | 92 | 84 | 84 | 72 | 0 | 0 | |
Y | 0.93173 | 7.919 | 12.19 | 30 | 0.04768 | 1.788 | 12.19 | 0 | 120 | 124 | 144 | 148 | 152 | 144 | 140 | 132 | 0 | 0 | |||
513 | X | 0.00609 | 0.211 | 14.26 | ○ | 0 | 9.35E-05 | 0.004 | 14.26 | 0 | 60 | 68 | 80 | 88 | 92 | 88 | 76 | 68 | 0 | 0 | |
Y | 0.51184 | 5.844 | 12.19 | 30 | 0.03755 | 1.036 | 12.19 | 0 | 120 | 128 | 144 | 148 | 144 | 140 | 140 | 132 | 0 | 0 | |||
1188 | X | 0.01946 | 0.526 | 14.26 | ○ | 0 | 8.87E-05 | 0.017 | 14.26 | 0 | 52 | 68 | 84 | 88 | 92 | 84 | 80 | 72 | 0 | 0 | |
Y | 1.27928 | 10.01 | 12.19 | 30 | 0.04423 | 1.368 | 12.19 | 0 | 120 | 124 | 144 | 152 | 144 | 140 | 140 | 136 | 0 | 0 | |||
34529 | X | 0.01477 | 0.472 | 14.26 | ○ | 0 | 2.76E-04 | 0.023 | 14.26 | 0 | 60 | 68 | 76 | 88 | 92 | 88 | 80 | 72 | 0 | 0 | |
Y | 1.15374 | 9.657 | 12.19 | 30 | 0.051 | 1.526 | 12.19 | 0 | 120 | 124 | 144 | 156 | 144 | 140 | 144 | 136 | 0 | 0 | |||
ave | X | 0.01231 | 0.38 | 14.26 | 0.0002 | 0.018 | 14.26 | 0 | 56.8 | 68 | 80 | 88 | 92 | 85.6 | 80 | 72 | 0 | 0 | |||
Y | 0.93703 | 7.879 | 12.19 | 0.0511 | 1.522 | 12.19 | 0 | 120 | 125.6 | 144 | 150.4 | 145.6 | 140.8 | 140.8 | 134.4 | 0 | 0 | ||||
S_X GCUT2 5E-5 | 17 | X | 1.83E-04 | 3.576 | 14.26 | ○ | 0 | 1.67E-05 | 3.575 | 14.26 | 0 | 56 | 68 | 80 | 88 | 88 | 84 | 80 | 64 | 0 | 0 |
Y | 12.19 | 20 | 12.19 | 0 | 120 | 136 | 148 | 144 | 140 | 140 | 140 | 136 | 0 | 0 | |||||||
125 | X | 1.80E-04 | 3.546 | 14.25 | ○ | X | 0 | 60 | 72 | 72 | 88 | 92 | 80 | 72 | 52 | 0 | 0 | ||||
Y | 12.19 | 0 | 120 | 128 | 144 | 140 | 140 | 136 | 132 | 132 | 0 | 0 | |||||||||
513 | X | 1.25E-04 | 5.022 | 14.26 | ○ | X | 0 | 56 | 72 | 72 | 88 | 92 | 80 | 72 | 68 | 0 | 0 | ||||
Y | 12.19 | 0 | 112 | 124 | 144 | 148 | 156 | 140 | 132 | 132 | 0 | 0 | |||||||||
1188 | X | 1.63E-04 | 4.953 | 14.27 | ○ | X | 0 | 56 | 60 | 80 | 88 | 92 | 80 | 72 | 64 | 0 | 0 | ||||
Y | 12.19 | 0 | 120 | 124 | 148 | 156 | 148 | 140 | 140 | 132 | 0 | 0 | |||||||||
34529 | X | 2.80E-04 | 6.46 | 14.26 | ○ | X | 0 | 56 | 68 | 60 | 80 | 84 | 76 | 72 | 68 | 0 | 0 | ||||
Y | 12.19 | 0 | 88 | 128 | 144 | 140 | 140 | 140 | 136 | 132 | 0 | 0 | |||||||||
ave | X | 0.00019 | 4.711 | 14.26 | 0 | 56.8 | 68 | 72.8 | 86.4 | 89.6 | 80 | 73.6 | 63.2 | 0 | 0 | ||||||
Y | 0 | 0 | 12.19 | 0 | 112 | 128 | 145.6 | 145.6 | 144.8 | 139.2 | 136 | 132.8 | 0 | 0 | |||||||
S_Y GCUT2 5E-5 | 17 | X | 1.84E-04 | 0.038 | 14.26 | ○ | X | 0 | 60 | 68 | 76 | 88 | 92 | 88 | 76 | 68 | 0 | 0 | |||
Y | 0.01092 | 2.246 | 12.19 | 0 | 120 | 136 | 140 | 144 | 144 | 140 | 140 | 132 | 0 | 0 | |||||||
125 | X | 1.77E-04 | 0.076 | 14.26 | ○ | X | 0 | 56 | 68 | 80 | 88 | 92 | 84 | 76 | 72 | 0 | 0 | ||||
Y | 1.14E-06 | 3.297 | 12.19 | 0 | 120 | 124 | 144 | 148 | 144 | 140 | 140 | 140 | 0 | 0 | |||||||
513 | X | 1.25E-04 | 0.042 | 14.26 | ○ | X | 0 | 60 | 68 | 84 | 88 | 92 | 84 | 80 | 72 | 0 | 0 | ||||
Y | 4.38E-07 | 2.898 | 12.19 | 0 | 120 | 128 | 144 | 148 | 144 | 140 | 140 | 136 | 0 | 0 | |||||||
1188 | X | 1.62E-04 | 0.028 | 14.26 | ○ | X | 0 | 60 | 68 | 84 | 88 | 92 | 88 | 76 | 72 | 0 | 0 | ||||
Y | 1.09E-06 | 1.819 | 12.19 | 0 | 120 | 136 | 140 | 140 | 140 | 140 | 140 | 136 | 0 | 0 | |||||||
34529 | X | 3.94E-04 | 0.016 | 14.26 | ○ | X | 0 | 60 | 68 | 80 | 88 | 92 | 88 | 72 | 72 | 0 | 0 | ||||
Y | 3.09E-06 | 1.687 | 12.19 | 0 | 116 | 128 | 144 | 148 | 144 | 140 | 140 | 136 | 0 | 0 | |||||||
ave | X | 0.00021 | 0.04 | 14.26 | 0 | 59.2 | 68 | 80.8 | 88 | 92 | 86.4 | 76 | 71.2 | 0 | 0 | ||||||
Y | 0.00219 | 2.39 | 12.19 | 0 | 119.2 | 130.4 | 142.4 | 145.6 | 143.2 | 140 | 140 | 136 | 0 | 0 | |||||||
all | 17 | X | 1.06164 | 9.299 | 14.25 | ○ | 40 | 0.01338 | 8.705 | 14.25 | 0 | 56 | 72 | 72 | 84 | 80 | 76 | 72 | 56 | 0 | 0 |
Y | 1.52631 | 11.38 | 12.18 | 40 | 0.02721 | 4.701 | 12.19 | 0 | 120 | 124 | 136 | 132 | 136 | 136 | 136 | 140 | 0 | 0 | |||
125 | X | 1.17514 | 4.612 | 14.27 | ○ | 40 | 0.0172 | 4.636 | 14.27 | 0 | 56 | 64 | 80 | 88 | 88 | 92 | 68 | 68 | 0 | 0 | |
Y | 1.18902 | 10.41 | 12.19 | 40 | 0.03465 | 4.718 | 12.19 | 0 | 116 | 140 | 140 | 144 | 144 | 140 | 132 | 140 | 0 | 0 | |||
513 | X | 1.20028 | 15.7 | 14.26 | ○ | 40 | 0.01905 | 12.06 | 14.26 | 0 | 52 | 48 | 64 | 72 | 76 | 72 | 64 | 64 | 0 | 0 | |
Y | 1.4424 | 8.31 | 12.19 | 40 | 0.03441 | 3.34 | 12.19 | 0 | 116 | 128 | 144 | 144 | 148 | 140 | 140 | 140 | 0 | 0 | |||
1188 | X | 1.52031 | 6.206 | 14.26 | ○ | 40 | 0.0218 | 5.902 | 14.25 | 0 | 52 | 60 | 76 | 80 | 84 | 76 | 64 | 68 | 0 | 0 | |
Y | 1.38619 | 12.08 | 12.19 | 40 | 0.0309 | 3.577 | 12.19 | 0 | 84 | 128 | 144 | 140 | 144 | 140 | 132 | 124 | 0 | 0 | |||
34529 | X | 0.95312 | 9.249 | 14.25 | ○ | 40 | 0.02371 | 6.241 | 14.26 | 0 | 60 | 52 | 64 | 80 | 84 | 76 | 68 | 60 | 0 | 0 | |
Y | 0.38369 | 6.377 | 12.19 | 40 | 0.03261 | 3.457 | 12.19 | 0 | 116 | 136 | 144 | 140 | 140 | 136 | 140 | 136 | 12 | 12 | |||
ave | X | 1.1821 | 9.013 | 14.26 | 0.01903 | 7.509 | 14.26 | 0 | 55.2 | 59.2 | 71.2 | 80.8 | 82.4 | 78.4 | 67.2 | 63.2 | 0 | 0 | |||
Y | 1.18552 | 9.712 | 12.19 | 0.03196 | 3.959 | 12.19 | 0 | 110.4 | 131.2 | 141.6 | 140 | 142.4 | 138.4 | 136 | 136 | 2.4 | 2.4 |
典型的な例 (all-1188の場合)
補正前のCOD
補正後のCOD
以上、全く問題がない。