SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:15:06 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:10 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\LPVMF\KR0700\ 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 = 189 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.217168 T, RMS = 0.042326 T Peak Field Spacing: Ave = 0.016417 m, RMS = 0.004148 m Zero Field Spacing: Ave = 0.016421 m, RMS = 0.003938 m Average Undulator Period = 0.000000 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.962177 T, RMS = 0.024250 T Peak Field Spacing: Ave = 0.015995 m, RMS = 0.000076 m Zero Field Spacing: Ave = 0.015994 m, RMS = 0.000059 m Average Undulator Period = 0.031989 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 -0.00034 1 0.17868 -0.12086 2 -0.00086 -0.00013 3 -0.00123 0.00167 4 -0.00004 -0.00009 5 0.00935 -0.00071 6 -0.00002 0.00016 7 -0.00011 0.00006 8 -0.00004 -0.00007 9 0.00001 -0.00012 10 0.00003 0.00004 11 -0.00003 0.00005 12 -0.00005 -0.00003 13 0.00002 -0.00006 14 0.00005 0.00001 15 -0.00000 0.00005 16 -0.00004 -0.00001 17 0.00000 -0.00004 18 0.00004 -0.00000 19 0.00001 0.00003 20 -0.00003 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 0.00001 1 -0.00542 0.95460 2 -0.00008 -0.00038 3 0.00017 0.00009 4 0.00011 0.00011 5 0.00131 0.00554 6 -0.00002 -0.00007 7 -0.00009 -0.00007 8 0.00002 0.00005 9 0.00030 -0.00005 10 -0.00002 -0.00003 11 0.00002 -0.00001 12 0.00002 0.00002 13 -0.00002 0.00002 14 -0.00002 -0.00002 15 0.00002 -0.00002 16 0.00002 0.00002 17 -0.00001 0.00002 18 -0.00002 -0.00001 19 0.00001 -0.00002 20 0.00002 0.00001 Hall Probe Overall Field Integrals: Int Bx dz = 2.3245e-05 Tm Int Int Bx dz dz = -6.7155e-05 Tm^2 Int By dz = 6.2211e-05 Tm Int Int By dz dz = -1.7417e-04 Tm^2 Trajectory Exit Information: X at exit = -2.9550e-06 m X slope at exit = 1.8633e-06 Y at exit = 1.1713e-06 m Y slope at exit = -6.9554e-07 Calculated Undulator Parameters: Keff = 2.961119 Beff = 0.991381 T Lambda_rad = 1.214594e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.79696e-09 Undulator Period = 0.031989 m Radiation Wavelength = 1.21459e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 76.469166 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 = 11704.673325 deg, RMS = 5.973513 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11720.967862 deg, RMS = 79.022921 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11523.591383 deg, RMS = 59.093896 deg Cell: Phase Change Of Cell = 34400.463 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 22880.463 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.344451e-12 (V/m), |Ey| = 2.965722e-12 (V/m) Angle_y - Angle_x = -66.063353 (deg) Stokes Parameters: S0 = Ix + Iy = 9.611427e-23, S1 = Ix - Iy = 7.852325e-23 (V/m)^2 S2 = I45 - I135 = 2.248782e-23, S3 = Ir - Il = -5.065915e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.816978, P2 = S2 / S0 = 0.233970 P3 = S3 / S0 = -0.527072 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 10.208 3.020e+18 5.693e+18 53.04 2 20.416 9.253e+16 --- --- 3 30.624 1.444e+18 9.869e+18 14.63 4 40.832 1.418e+17 --- --- 5 51.039 8.111e+17 9.562e+18 8.48 6 61.247 3.062e+17 --- --- 7 71.455 1.169e+18 9.010e+18 12.97 8 81.663 4.546e+17 --- --- 9 91.871 5.136e+17 7.295e+18 7.04 10 102.079 3.467e+17 --- --- 11 112.287 2.504e+17 5.938e+18 4.22 12 122.495 3.807e+17 --- --- 13 132.702 3.061e+17 4.578e+18 6.69 14 142.910 3.177e+17 --- --- 15 153.118 1.267e+17 3.046e+18 4.16