SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:37:43 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:15 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\KR0900\ 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 = 0.667069 T, RMS = 0.016943 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000127 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000069 m Average Undulator Period = 0.032004 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.776220 T, RMS = 0.008693 T Peak Field Spacing: Ave = 0.016007 m, RMS = 0.000144 m Zero Field Spacing: Ave = 0.016005 m, RMS = 0.000068 m Average Undulator Period = 0.032010 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 -0.00002 1 0.66939 0.04584 2 -0.00021 -0.00077 3 -0.00301 -0.00036 4 -0.00001 -0.00023 5 -0.00442 0.00430 6 -0.00000 -0.00007 7 -0.00005 -0.00015 8 0.00005 -0.00006 9 0.00005 -0.00048 10 0.00005 -0.00005 11 0.00007 -0.00003 12 0.00007 -0.00002 13 0.00005 -0.00001 14 0.00006 -0.00000 15 0.00007 0.00000 16 0.00006 0.00001 17 0.00005 0.00003 18 0.00006 0.00003 19 0.00005 0.00004 20 0.00003 0.00004 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 -0.00100 0.79001 2 -0.00074 0.00088 3 -0.00071 0.00151 4 -0.00007 0.00008 5 0.00453 -0.01325 6 -0.00002 -0.00003 7 -0.00007 0.00001 8 -0.00002 -0.00002 9 -0.00009 0.00002 10 -0.00001 -0.00001 11 -0.00001 -0.00002 12 -0.00000 -0.00001 13 -0.00001 -0.00001 14 -0.00000 -0.00001 15 0.00000 -0.00001 16 0.00001 -0.00001 17 0.00001 -0.00000 18 0.00001 -0.00000 19 0.00001 0.00000 20 0.00001 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = -2.6770e-04 Tm Int Int Bx dz dz = -3.6389e-04 Tm^2 Int By dz = -8.9722e-05 Tm Int Int By dz dz = -2.3283e-04 Tm^2 Trajectory Exit Information: X at exit = -3.0213e-06 m X slope at exit = -7.0393e-07 Y at exit = 8.5210e-06 m Y slope at exit = 6.1858e-06 Calculated Undulator Parameters: Keff = 3.098403 Beff = 1.036751 T Lambda_rad = 1.309172e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 4.09029e-09 Undulator Period = 0.032007 m Radiation Wavelength = 1.30917e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 29.311906 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 = 11700.430573 deg, RMS = 5.314696 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11666.769311 deg, RMS = 31.228242 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11770.740256 deg, RMS = 25.865001 deg Cell: Phase Change Of Cell = 35064.263 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23544.263 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.032125e-11 (V/m), |Ey| = 9.313647e-12 (V/m) Angle_y - Angle_x = -92.563434 (deg) Stokes Parameters: S0 = Ix + Iy = 1.932721e-22, S1 = Ix - Iy = 1.978408e-23 (V/m)^2 S2 = I45 - I135 = -8.598773e-24, S3 = Ir - Il = -1.920645e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.102364, P2 = S2 / S0 = -0.044490 P3 = S3 / S0 = -0.993752 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 9.470 6.073e+18 8.679e+18 69.97 2 18.941 3.912e+16 --- --- 3 28.411 1.299e+17 9.246e+17 14.05 4 37.882 5.947e+15 --- --- 5 47.352 3.792e+15 1.015e+17 3.73 6 56.823 1.869e+15 --- --- 7 66.293 5.128e+13 9.145e+16 0.06 8 75.763 4.519e+14 --- --- 9 85.234 2.194e+14 1.139e+17 0.19 10 94.704 2.023e+14 --- --- 11 104.175 1.999e+14 1.522e+17 0.13 12 113.645 5.450e+13 --- --- 13 123.116 1.102e+13 2.018e+17 0.01 14 132.586 3.043e+13 --- --- 15 142.056 1.493e+13 2.646e+17 0.01