SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:16:45 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:21 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\KR0300\ 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 = 0.352485 T, RMS = 0.043226 T Peak Field Spacing: Ave = 0.015978 m, RMS = 0.000578 m Zero Field Spacing: Ave = 0.015987 m, RMS = 0.000152 m Average Undulator Period = 0.031975 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.666291 T, RMS = 0.043340 T Peak Field Spacing: Ave = 0.015980 m, RMS = 0.000139 m Zero Field Spacing: Ave = 0.015988 m, RMS = 0.000087 m Average Undulator Period = 0.031975 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 -0.00021 1 0.16069 -0.30490 2 -0.00027 0.00009 3 0.00073 0.00128 4 -0.00020 -0.00014 5 -0.00003 -0.00026 6 0.00014 0.00010 7 -0.00009 0.00010 8 -0.00012 -0.00005 9 0.00011 -0.00018 10 0.00011 0.00001 11 0.00001 0.00009 12 -0.00009 0.00002 13 -0.00004 -0.00007 14 0.00006 -0.00003 15 0.00005 0.00005 16 -0.00004 0.00005 17 -0.00005 -0.00004 18 0.00002 -0.00005 19 0.00005 0.00002 20 -0.00001 0.00005 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 -0.00006 1 0.00829 0.64700 2 -0.00004 -0.00021 3 0.00040 -0.00040 4 0.00012 0.00015 5 -0.01140 0.00996 6 -0.00015 -0.00016 7 0.00002 -0.00019 8 0.00011 0.00006 9 -0.00018 0.00008 10 -0.00010 -0.00002 11 0.00000 -0.00009 12 0.00008 -0.00000 13 0.00001 0.00008 14 -0.00006 0.00002 15 -0.00002 -0.00005 16 0.00005 -0.00004 17 0.00004 0.00004 18 -0.00004 0.00004 19 -0.00004 -0.00003 20 0.00002 -0.00004 Hall Probe Overall Field Integrals: Int Bx dz = 3.3330e-06 Tm Int Int Bx dz dz = 1.0810e-04 Tm^2 Int By dz = 8.7422e-05 Tm Int Int By dz dz = 5.0572e-06 Tm^2 Trajectory Exit Information: X at exit = 1.5294e-06 m X slope at exit = 2.7419e-06 Y at exit = -3.2095e-06 m Y slope at exit = -5.6334e-07 Calculated Undulator Parameters: Keff = 2.246912 Beff = 0.752585 T Lambda_rad = 7.947051e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.48540e-09 Undulator Period = 0.031975 m Radiation Wavelength = 7.94705e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 96.447544 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 = 11750.959364 deg, RMS = 6.359221 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11789.553870 deg, RMS = 102.130364 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11317.217616 deg, RMS = 128.301251 deg Cell: Phase Change Of Cell = 34122.097 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 22602.097 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.271809e-12 (V/m), |Ey| = 5.505872e-12 (V/m) Angle_y - Angle_x = -38.758080 (deg) Stokes Parameters: S0 = Ix + Iy = 1.162811e-22, S1 = Ix - Iy = 5.565182e-23 (V/m)^2 S2 = I45 - I135 = 7.961625e-23, S3 = Ir - Il = -6.391726e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.478597, P2 = S2 / S0 = 0.684688 P3 = S3 / S0 = -0.549679 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 15.601 3.654e+18 8.206e+18 44.52 2 31.203 2.193e+16 --- --- 3 46.804 1.529e+18 1.174e+19 13.03 4 62.405 1.002e+17 --- --- 5 78.006 4.647e+17 1.020e+19 4.55 6 93.608 1.030e+17 --- --- 7 109.209 2.256e+17 8.157e+18 2.77 8 124.810 7.991e+15 --- --- 9 140.412 8.571e+16 5.724e+18 1.50 10 156.013 4.399e+16 --- --- 11 171.614 3.917e+16 4.039e+18 0.97 12 187.215 2.710e+16 --- --- 13 202.817 9.667e+14 2.856e+18 0.03 14 218.418 1.661e+16 --- --- 15 234.019 9.092e+15 1.879e+18 0.48