# Presentation: 494750

## Hardedge Field Model for Tetra Ring

- These slides re-examine the Hard-edge model for the Balbekov Ring in GEANT.
- I have re-examined two cases:
- The storage ring mode with NO RF and NO material absorbers.
- The case with RF and LH2 absorber.  Still no wedge absorber and NO RANDOM Processes.  dE/dx is taken from a table and is the mean value.  (PHYS=0 with LOSS=4 in GEANT)
- The next transparency shows deviations in case 1.
- y~75 m and r~400 m after 20 turns.
- This is shown to indicate that we really do know the reference orbit.

## Case 1: Storage Ring Mode No RF, No Material

## Case 2: RF and Material but no Random Processes

## Case 2: Correlation of Energy with E field

## Following One Turn of the Reference Particle

| Pos | quad 1 time | Quad 1 E | Energy | quad 2 time | Quad 2 E | Energy | quad 3 time | Quad 3 E | Energy | quad 4 time | quad 4 E  | Energy |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
|   | 102.0777 |   |   | 0 | 0.001 |   | 34.02591 |   |   | 68.05182 |   |   |
| cav 1 | 107.401 | 0.818553 | 0.243941 | 5.4936 | 1.049235 | 0.251182 | 39.38335 | 0.868504 | 0.25739 | 73.2677 | 0.652824 | 0.253044 |
| cav 2 | 108.602 | 0.829685 | 0.246321 | 6.6874 | 1.048835 | 0.25421 | 40.57085 | 0.859725 | 0.259883 | 74.45965 | 0.650038 | 0.254925 |
| cav 3 | 109.8005 | 0.840505 | 0.248736 | 7.87768 | 1.047755 | 0.257239 | 41.75615 | 0.85123 | 0.262353 | 75.64965 | 0.648263 | 0.256797 |
| cav 4 | 110.9965 | 0.850932 | 0.251182 | 9.06511 | 1.04611 | 0.260263 | 42.93925 | 0.843025 | 0.2648 | 76.83805 | 0.647512 | 0.258671 |
| cav 5 | 112.19 | 0.860964 | 0.253658 | 10.24985 | 1.043965 | 0.263283 | 44.12035 | 0.730099 | 0.267224 | 78.02465 | 0.647707 | 0.260544 |
| cav 6 | 113.381 | 0.870657 | 0.256158 | 11.43195 | 1.041355 | 0.266298 | 45.29945 | 0.827558 | 0.269627 | 79.20955 | 0.648756 | 0.262419 |
| cav 7 | 114.5695 | 0.879932 | 0.258696 | 12.6116 | 1.038315 | 0.269305 | 46.4767 | 0.820326 | 0.272009 | 80.39285 | 0.650656 | 0.264299 |
| cav 8 | 115.756 | 0.888786 | 0.261257 | 13.78885 | 1.034875 | 0.272304 | 47.6521 | 0.813461 | 0.274372 | 81.57451 | 0.653305 | 0.266186 |
| cav 9 | 122.456 | 0.94075 | 0.224755 | 20.41845 | 0.995019 | 0.23676 | 54.2725 | 0.750184 | 0.238254 | 88.24415 | 0.664989 | 0.229232 |
| cav 10 | 123.682 | 0.952636 | 0.227481 | 21.62885 | 0.985109 | 0.239605 | 55.4804 | 0.736099 | 0.24039 | 89.464 | 0.669489 | 0.231152 |
| cav 11 | 124.9035 | 0.963406 | 0.23024 | 22.8348 | 0.974965 | 0.242424 | 56.6858 | 0.723167 | 0.242488 | 90.6812 | 0.675063 | 0.233088 |
| cav 12 | 126.122 | 0.523748 | 0.232215 | 24.0377 | 0.512679 | 0.244397 | 57.889 | 0.20678 | 0.243722 | 91.89061 | 0.172826 | 0.234213 |
| cav 13 | 127.3375 | 0.983495 | 0.234557 | 25.23855 | 0.955318 | 0.246674 | 59.0911 | 0.702251 | 0.245132 | 93.10975 | 0.69083 | 0.235555 |
| cav 14 | 128.55 | 0.993486 | 0.237409 | 26.43655 | 0.946707 | 0.249413 | 60.2911 | 0.695301 | 0.247145 | 94.32115 | 0.70175 | 0.237563 |
| cav 15 | 129.7585 | 1.002393 | 0.240288 | 27.6317 | 0.938016 | 0.25213 | 61.489 | 0.689401 | 0.249141 | 95.52995 | 0.713087 | 0.239605 |
| cav 16 | 130.9635 | 1.010325 | 0.243193 | 28.82415 | 0.929309 | 0.254821 | 62.6848 | 0.684535 | 0.251123 | 96.7363 | 0.724783 | 0.241671 |

## Variations in Timing

|   | Quad 1 | Quad 2 | Quad 3 | Quad 4 | Nominal |
| --- | --- | --- | --- | --- | --- |
| cav 1 | 5.32327 | 5.4936 | 5.35744 | 5.21588 | 5.407967 |
| cav 2 | 6.52427 | 6.6874 | 6.54494 | 6.40783 | 6.601674 |
| cav 3 | 7.72277 | 7.87768 | 7.73024 | 7.59783 | 7.792988 |
| cav 4 | 8.91877 | 9.06511 | 8.91334 | 8.78623 | 8.981992 |
| cav 5 | 10.11227 | 10.24985 | 10.09444 | 9.97283 | 10.16876 |
| cav 6 | 11.30327 | 11.43195 | 11.27354 | 11.15773 | 11.35337 |
| cav 7 | 12.49177 | 12.6116 | 12.45079 | 12.34103 | 12.53589 |
| cav 8 | 13.67827 | 13.78885 | 13.62619 | 13.52269 | 13.71639 |
| cav 9 | 20.37827 | 20.41845 | 20.24659 | 20.19233 | 20.37987 |
| cav 10 | 21.60427 | 21.62885 | 21.45449 | 21.41218 | 21.59616 |
| cav 11 | 22.82577 | 22.8348 | 22.65989 | 22.62938 | 22.80925 |
| cav 12 | 24.04427 | 24.0377 | 23.86309 | 23.83879 | 24.01926 |
| cav 13 | 25.25977 | 25.23855 | 25.06519 | 25.05793 | 25.22629 |
| cav 14 | 26.47227 | 26.43655 | 26.26519 | 26.26933 | 26.43046 |
| cav 15 | 27.68077 | 27.6317 | 27.46309 | 27.47813 | 27.63187 |
| cav 16 | 28.88577 | 28.82415 | 28.65889 | 28.68448 | 28.83062 |