SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:41:04 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:37 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\CPRMF\KR0100\ 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 = 0.095641 T, RMS = 0.008357 T Peak Field Spacing: Ave = 0.015997 m, RMS = 0.000293 m Zero Field Spacing: Ave = 0.015992 m, RMS = 0.000388 m Average Undulator Period = 0.031983 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.117038 T, RMS = 0.013489 T Peak Field Spacing: Ave = 0.015997 m, RMS = 0.000291 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000416 m Average Undulator Period = 0.032001 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 0.00005 1 0.08746 0.01207 2 0.00015 -0.00011 3 -0.00011 -0.00073 4 -0.00007 0.00006 5 0.00465 0.00511 6 0.00004 -0.00000 7 -0.00003 -0.00014 8 -0.00000 -0.00000 9 0.00005 0.00030 10 0.00001 0.00000 11 0.00001 -0.00000 12 0.00000 0.00000 13 -0.00000 0.00001 14 0.00000 0.00000 15 0.00001 0.00001 16 0.00000 0.00000 17 -0.00000 0.00000 18 0.00000 0.00000 19 0.00000 0.00000 20 0.00000 0.00000 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 -0.00004 1 0.00504 0.10780 2 -0.00031 -0.00016 3 0.00033 -0.00160 4 0.00003 -0.00000 5 -0.00489 0.00563 6 -0.00004 -0.00003 7 0.00003 -0.00005 8 -0.00000 0.00000 9 -0.00031 0.00001 10 0.00000 -0.00000 11 0.00000 -0.00000 12 -0.00000 -0.00000 13 -0.00000 -0.00001 14 0.00000 -0.00000 15 0.00000 -0.00000 16 -0.00000 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 = 1.4909e-04 Tm Int Int Bx dz dz = 2.7117e-04 Tm^2 Int By dz = -1.4229e-05 Tm Int Int By dz dz = -7.1089e-05 Tm^2 Trajectory Exit Information: X at exit = -1.0699e-06 m X slope at exit = -8.2374e-09 Y at exit = -5.8237e-06 m Y slope at exit = -3.2019e-06 Calculated Undulator Parameters: Keff = 0.426369 Beff = 0.142732 T Lambda_rad = 2.461212e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 7.69317e-10 Undulator Period = 0.031992 m Radiation Wavelength = 2.46121e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 20.203486 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 = 12022.215674 deg, RMS = 7.568247 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 12024.504413 deg, RMS = 21.553319 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 12014.043351 deg, RMS = 5.117675 deg Cell: Phase Change Of Cell = 35625.815 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 24105.815 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 8.220975e-12 (V/m), |Ey| = 6.726572e-12 (V/m) Angle_y - Angle_x = -99.279877 (deg) Stokes Parameters: S0 = Ix + Iy = 1.128312e-22, S1 = Ix - Iy = 2.233766e-23 (V/m)^2 S2 = I45 - I135 = -1.783472e-23, S3 = Ir - Il = -1.091505e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.197974, P2 = S2 / S0 = -0.158065 P3 = S3 / S0 = -0.967379 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 50.375 3.545e+18 4.511e+18 78.60 2 100.751 3.136e+15 --- --- 3 151.126 2.580e+15 3.123e+16 8.26 4 201.501 5.472e+13 --- --- 5 251.876 2.939e+15 6.171e+16 4.76 6 302.252 3.452e+13 --- --- 7 352.627 6.615e+12 6.513e+16 0.01 8 403.002 1.617e+12 --- --- 9 453.378 5.706e+12 9.523e+16 0.01 10 503.753 1.367e+12 --- --- 11 554.128 1.855e+12 1.307e+17 0.00 12 604.503 2.121e+12 --- --- 13 654.879 2.744e+12 1.694e+17 0.00 14 705.254 2.759e+12 --- --- 15 755.629 1.729e+12 2.104e+17 0.00