SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:46:19 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 15:00:01 Hall Probe Array Analysis ************************* Bx, By, and Bz vs z: Z Bx By Bz (m) (T) (T) (T) ----------- ----------- ----------- ----------- Analysis Parameters: Input file directory = V:\MET\MagServe\MagData\DELTA\Delta data\Assembled Measurements\Final Measurements Repeat\CPLMF\KR0200\ Input file name = hall2_anal_meas_field.dat Input file type = ZBXYZH Correction required = 0 Correction, Bx multiplicative factor = 1.000000 Correction, By multiplicative factor = 1.000000 Correction, Bx additive constant = -0.000025 T Correction, By additive constant = 0.000032 T Correction Bxy additive file = none Correction Bxy additive file type = CORR_ZBXY Electron gamma = 26627.100000 Electron energy = 13.606423 Gev Nominal undulator period = 0.000000 m Nominal K value = 0.000000 Nominal radiation wavelength = 0.000000e+00 m Number of undulator poles = 196 Number of end poles (used in analysis) = 4 Cell length = 3.126000 m Nominal phase change through cell = 201.061930 rad Nominal phase of pole after end poles = -193.207948 rad Number of poles for entrance and exit phase error statistics = 5 Bx Peak And Zero Field Summary: Number of Poles = 197 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.191157 T, RMS = 0.009254 T Peak Field Spacing: Ave = 0.015999 m, RMS = 0.000162 m Zero Field Spacing: Ave = 0.015997 m, RMS = 0.000191 m Average Undulator Period = 0.031993 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.150715 T, RMS = 0.013847 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000204 m Zero Field Spacing: Ave = 0.015998 m, RMS = 0.000277 m Average Undulator Period = 0.031996 m Bx Field Harmonics: In the undulator center, over an integer number of periods, expand Bx as Bx(z) = a0 + Sum{ an cos(n 2 pi z / lambda_u) + bn sin(n 2 pi z / lambda_u) } n an bn (T) (T) -------- -------- -------- 0 0.00000 1 -0.17607 0.03472 2 -0.00013 0.00024 3 0.00054 0.00020 4 0.00006 0.00012 5 -0.01239 0.00200 6 -0.00001 0.00002 7 0.00019 -0.00002 8 0.00001 -0.00001 9 -0.00042 0.00003 10 0.00001 -0.00001 11 0.00001 -0.00001 12 0.00000 -0.00001 13 -0.00001 -0.00001 14 0.00000 -0.00001 15 0.00000 -0.00001 16 0.00000 -0.00001 17 -0.00001 -0.00001 18 -0.00000 -0.00001 19 -0.00000 -0.00001 20 -0.00000 -0.00001 By Field Harmonics: In the undulator center, over an integer number of periods, expand By as By(z) = a0 + Sum{ an cos(n 2 pi z / lambda_u) + bn sin(n 2 pi z / lambda_u) } n an bn (T) (T) -------- -------- -------- 0 -0.00008 1 -0.00001 0.13722 2 0.00050 -0.00015 3 -0.00056 -0.00204 4 0.00003 -0.00001 5 0.00069 0.01040 6 0.00008 -0.00003 7 -0.00004 0.00003 8 0.00001 0.00000 9 0.00006 0.00037 10 0.00001 0.00000 11 0.00000 0.00000 12 0.00001 0.00000 13 0.00001 0.00000 14 0.00000 -0.00000 15 0.00000 -0.00000 16 0.00001 -0.00000 17 0.00000 -0.00000 18 0.00000 -0.00000 19 0.00000 -0.00000 20 0.00000 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 1.1929e-04 Tm Int Int Bx dz dz = 7.0761e-05 Tm^2 Int By dz = -6.7331e-05 Tm Int Int By dz dz = -3.3176e-04 Tm^2 Trajectory Exit Information: X at exit = -8.3031e-06 m X slope at exit = -2.0908e-06 Y at exit = -1.5737e-06 m Y slope at exit = -2.6436e-06 Calculated Undulator Parameters: Keff = 0.695250 Beff = 0.232725 T Lambda_rad = 2.801632e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 8.75657e-10 Undulator Period = 0.031995 m Radiation Wavelength = 2.80163e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 26.693293 deg Phase Relative To Nominal Radiation Wave: Nominal Radiation Wavelength = 0.00000e+00 m, (if 0, use radiation wavelength) Cell Length = 3.126000 m Number Of End Poles = 4 Entrance: Phase Error Of First 5 Poles After The End Poles Ave = 11828.255741 deg, RMS = 9.544452 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11740.816994 deg, RMS = 28.156817 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 12075.779796 deg, RMS = 3.695606 deg Cell: Phase Change Of Cell = 35352.867 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23832.867 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.046447e-12 (V/m), |Ey| = 1.143233e-11 (V/m) Angle_y - Angle_x = 98.555296 (deg) Stokes Parameters: S0 = Ix + Iy = 2.125364e-22, S1 = Ix - Iy = -4.885998e-23 (V/m)^2 S2 = I45 - I135 = -3.077090e-23, S3 = Ir - Il = 2.045423e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.229890, P2 = S2 / S0 = -0.144779 P3 = S3 / S0 = 0.962387 Spectra: (Ideal = calc field period using FT coeff repeated with no phase errors) Harmonic Energy Ang Num Spect Ideal Efficiency # (keV) (ph/sec/mrad^2/0.1%bw/0.1A) % -------- -------- -------------- -------------- ------------ 1 44.254 6.678e+18 8.991e+18 74.28 2 88.509 6.851e+16 --- --- 3 132.763 1.389e+16 1.909e+17 7.28 4 177.017 7.556e+14 --- --- 5 221.271 3.053e+14 9.299e+16 0.33 6 265.526 4.498e+12 --- --- 7 309.780 1.107e+14 1.326e+17 0.08 8 354.034 1.604e+13 --- --- 9 398.289 6.577e+12 1.918e+17 0.00 10 442.543 1.597e+12 --- --- 11 486.797 1.494e+12 2.563e+17 0.00 12 531.052 1.344e+12 --- --- 13 575.306 3.058e+12 3.215e+17 0.00 14 619.560 2.777e+12 --- --- 15 663.814 2.959e+12 3.828e+17 0.00