SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:15:55 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:16 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\KR0500\ 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 = 191 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.293367 T, RMS = 0.031746 T Peak Field Spacing: Ave = 0.015984 m, RMS = 0.000594 m Zero Field Spacing: Ave = 0.015992 m, RMS = 0.000182 m Average Undulator Period = 0.031985 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.812486 T, RMS = 0.025482 T Peak Field Spacing: Ave = 0.015990 m, RMS = 0.000086 m Zero Field Spacing: Ave = 0.015992 m, RMS = 0.000072 m Average Undulator Period = 0.031983 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 -0.00027 1 0.19545 -0.22038 2 -0.00067 -0.00006 3 -0.00014 0.00189 4 -0.00010 -0.00012 5 0.00230 -0.00541 6 0.00005 0.00012 7 -0.00005 0.00008 8 -0.00006 -0.00008 9 0.00011 0.00013 10 0.00005 0.00006 11 -0.00004 0.00005 12 -0.00005 -0.00004 13 0.00002 -0.00006 14 0.00005 0.00003 15 -0.00002 0.00005 16 -0.00005 -0.00002 17 0.00001 -0.00004 18 0.00005 0.00000 19 -0.00000 0.00004 20 -0.00004 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 -0.00000 1 0.00636 0.80305 2 -0.00011 -0.00021 3 0.00065 0.00009 4 0.00009 0.00011 5 -0.01060 0.00473 6 -0.00004 -0.00013 7 -0.00007 -0.00012 8 0.00005 0.00007 9 -0.00012 0.00016 10 -0.00003 -0.00004 11 0.00003 -0.00003 12 0.00003 0.00003 13 -0.00002 0.00004 14 -0.00003 -0.00002 15 0.00001 -0.00003 16 0.00003 0.00001 17 -0.00001 0.00003 18 -0.00003 -0.00000 19 0.00000 -0.00003 20 0.00003 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 1.6263e-05 Tm Int Int Bx dz dz = 8.6166e-05 Tm^2 Int By dz = 1.1571e-04 Tm Int Int By dz dz = -1.5040e-05 Tm^2 Trajectory Exit Information: X at exit = 9.2316e-07 m X slope at exit = 3.2773e-06 Y at exit = -2.4739e-06 m Y slope at exit = -7.0502e-07 Calculated Undulator Parameters: Keff = 2.588609 Beff = 0.866786 T Lambda_rad = 9.812733e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.06801e-09 Undulator Period = 0.031984 m Radiation Wavelength = 9.81273e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 49.218329 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 = 11725.258974 deg, RMS = 6.039898 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11727.700990 deg, RMS = 52.669462 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11424.946932 deg, RMS = 84.716651 deg Cell: Phase Change Of Cell = 34418.355 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 22898.355 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.161026e-11 (V/m), |Ey| = 5.147091e-12 (V/m) Angle_y - Angle_x = -54.208922 (deg) Stokes Parameters: S0 = Ix + Iy = 1.612906e-22, S1 = Ix - Iy = 1.083055e-22 (V/m)^2 S2 = I45 - I135 = 6.989794e-23, S3 = Ir - Il = -9.694771e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.671493, P2 = S2 / S0 = 0.433366 P3 = S3 / S0 = -0.601075 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 12.635 5.068e+18 7.178e+18 70.60 2 25.270 5.390e+16 --- --- 3 37.905 2.808e+18 1.136e+19 24.72 4 50.540 8.647e+16 --- --- 5 63.175 2.588e+18 1.020e+19 25.38 6 75.810 2.271e+17 --- --- 7 88.445 1.139e+18 8.917e+18 12.77 8 101.080 8.606e+16 --- --- 9 113.715 4.963e+17 6.189e+18 8.02 10 126.350 3.314e+16 --- --- 11 138.985 9.995e+16 4.655e+18 2.15 12 151.620 4.327e+16 --- --- 13 164.255 1.281e+16 3.294e+18 0.39 14 176.891 4.768e+16 --- --- 15 189.526 2.520e+16 2.269e+18 1.11