SLAC Magnetic Measurements Date: 10-30-2006 Time: 16:19:58 Planar Insertion Device Shim Analysis Analysis Parameters: Input file directory = C:\magdata\Lcls\Undulator\L143-112000-17\RMA0001\Rough Tuning\Z Scans\Run 006\ Input file name = bscanz_dat.001 Input file type = SLAC_BXBYVSZ Electron gamma = 26690.650000 Electron energy = 13.640411 Gev Undulator period = 0.030000 m Desired K value = 3.499557 Number of undulator poles = 226 Number of end poles (used in analysis) = 5 Cell length = 3.656000 m Trajectory Shim Parameters: Number of segments in the segmented trajectory = 40 Maximum trajectory shift when a shim is moved = 3.000e-007 m Maximum trajectory shift accumulation before add shim = 6.000e-007 m X trajectory end shim pole number = 4 Y trajectory end shim pole number = 4 Experimental parameters Let s = desired trajectory slope change (dimensionless) Let d = distance between the shim and the pole (m) d = p1 * s^2 + p2 * s + p3 Type < 0 shims are reserved for the end shims. Type > 0 shims are reserved for the undulator center shims. 1)X Trajectory Shim Parameters Type = -1 Slope_min = 1.000e-007, Slope_max = 1.000e-005 p1 = 0.000e+000, p2 = 1.000e+003, p3 = 0.000e+000 Type = 1 Slope_min = 2.000e-006, Slope_max = 6.600e-006 p1 = 1.658e+009, p2 = -1.293e+005, p3 = 8.110e-001 Type = 11 Slope_min = 6.600e-006, Slope_max = 1.700e-005 p1 = 1.608e+009, p2 = -7.216e+004, p3 = 7.560e-001 2)Y Trajectory Shim Parameters Type = -1 Slope_min = 0.000e+000, Slope_max = 1.000e+009 p1 = 0.000e+000, p2 = 0.000e+000, p3 = 0.000e+000 Type = 1 Slope_min = 0.000e+000, Slope_max = 1.000e+009 p1 = 0.000e+000, p2 = 0.000e+000, p3 = 0.000e+000 Phase Shim Parameters: Number of segments in the segmented phase error = 40 Maximum positive phase error change before a shim is added = 3.491e-002 rad Maximum negative phase error change before a shim is added = 1.047e-001 rad Gap shim effective width = 2.000e-001 m Nominal undulator gap = 6.800e-003 m Experimental parameters Gap shim correction factor = 1.000e+000 Let c = desired phase error change (rad) Let t = shim thickness (m) t = p1 * c^2 + p2 * c + p3 Type = 1 phase_change_min = 0.000e+000, phase_change_max = 2.530e-001 p1 = 0.000e+000, p2 = 1.580e-003, p3 = 0.000e+000 K Shim Parameters: Cant angle = 4.500e-003 rad Phase Matching Shim Parameters: Desired phase on pole after end poles = 990.000 deg X Trajectory Shim Data Same shims on both the upper and lower poles. Shim Pole Z_Pole By Delta_Slope BL_Shim Shim Shim Dim # # (m) +- () (Tm) Type (in) ---- ---- ---------- -- ----------- ----------- ---- --------- 1 4 -1.6426 +1 7.897e-007 3.593e-005 -1 0.00 2 223 1.6426 -1 7.361e-007 3.349e-005 -1 0.00 Y Trajectory Shim Data |=====Upper Pole=====||=====Lower Pole=====| Shim Pole Z_Pole By Pole Z_Pole By Delta_Slope BL_Shim Shim Shim Dim # # (m) +- # (m) +- () (Tm) Type (mm) ---- ---- ---------- -- ---- ---------- -- ----------- ----------- ---- --------- 1 4 -1.6426 +1 4 -1.6426 +1 -3.429e-007 1.560e-005 -1 0.00 2 132 0.2775 +1 131 0.2625 -1 -3.356e-007 1.527e-005 1 0.00 3 221 1.6126 -1 222 1.6276 +1 3.163e-007 -1.439e-005 1 0.00 4 223 1.6426 -1 223 1.6426 -1 -7.265e-007 3.305e-005 -1 0.00 Phase Error Gap Shim Data Same shims on both the upper and lower poles. Shim Pole # Pole # Z_Start Z_End Delta Phaserr dB / B dGap dShim X # Start End (m) (m) Slope (deg/m) Shim (mm) (mm) ---- ------ ------ ------- ------- ------------- ----------- -------- -------- 1 70 81 -0.652 -0.487 4.113e+001 1.994e-003 -0.012 -2.589 2 200 210 1.297 1.447 4.656e+001 2.257e-003 -0.013 -2.931 Phase Error Phase Shim Data Same shims on both the upper and lower poles. Shim Pole # Pole # Z_Shim Delta Phaserr dB / B Shim Dim # Start End (m) (deg) Shim (mm) ---- ------ ------ ------- ------------- ----------- ----------- 1 89 90 -0.360 -3.460e+000 -5.591e-003 0.095419 2 95 96 -0.270 -3.425e+000 -5.534e-003 0.094451 3 137 138 0.360 -2.803e+000 -4.528e-003 0.077288 4 219 220 1.590 -2.387e+000 -3.857e-003 0.065836 K Shim Data Measured K value = 3.499804 Desired K value = 3.499557 Required field change dB / B = -7.0500e-005 Required gap change dgap = 4.1201e-007 m Beam x motion required dx = -9.1558e-005 m Phase Matching Shim Data Entrance: Number of end poles = 5 Phases At The Entrance Poles: Phase = 0 at cell boundary. Pole Phase ExpectPhase Phase Err # (deg) (deg) (deg) ---- ----------- ----------- ----------- 1 238.594 0.000 0.000 2 283.468 0.000 0.000 3 470.854 0.000 0.000 4 662.459 0.000 0.000 5 852.705 0.000 0.000 6 1025.135 990.000 35.135 7 1204.360 1170.000 34.360 8 1388.654 1350.000 38.654 9 1570.356 1530.000 40.356 10 1746.291 1710.000 36.291 Mean phase error at the entrance = 36.959 deg Phase shim dimension at the entrance = 0.000e+000 m Exit: Number of end poles = 5 Phases From The Exit Poles To The Cell Boundary: Pole Phase To ExpectPhase Phase Err # Cell(deg) (deg) (deg) ---- ----------- ----------- ----------- 226 242.635 0.000 0.000 225 291.904 0.000 0.000 224 455.313 0.000 0.000 223 671.614 0.000 0.000 222 838.678 0.000 0.000 221 1026.996 990.000 36.996 220 1199.876 1170.000 29.876 219 1386.867 1350.000 36.867 218 1562.948 1530.000 32.948 217 1749.935 1710.000 39.935 Mean phase error at the exit = 35.324 deg Phase shim dimension at the exit = 0.000e+000 m Cell: Phase change in the cell = 40751.115 deg Expected phase change in the cell = 40680.000 deg Phase error in the cell = 71.115 deg