SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:38:32 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:21 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\CPRMF\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 = 197 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.593805 T, RMS = 0.007352 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000179 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000078 m Average Undulator Period = 0.032002 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.594317 T, RMS = 0.010288 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000172 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000082 m Average Undulator Period = 0.032002 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 -0.00007 1 0.60431 -0.01748 2 -0.00010 -0.00042 3 -0.00222 -0.00006 4 -0.00002 -0.00009 5 -0.00928 0.00134 6 -0.00003 0.00002 7 0.00016 0.00001 8 -0.00005 -0.00001 9 0.00020 -0.00007 10 -0.00003 -0.00001 11 -0.00003 -0.00002 12 -0.00004 -0.00001 13 -0.00005 -0.00000 14 -0.00004 -0.00001 15 -0.00003 -0.00001 16 -0.00004 -0.00001 17 -0.00004 -0.00001 18 -0.00003 -0.00001 19 -0.00004 -0.00001 20 -0.00004 -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 -0.00003 1 0.00163 0.60253 2 -0.00097 0.00093 3 -0.00044 -0.00084 4 -0.00001 -0.00003 5 -0.00119 -0.00997 6 0.00007 -0.00006 7 0.00001 -0.00011 8 0.00000 0.00001 9 0.00008 0.00029 10 -0.00001 0.00000 11 -0.00001 0.00000 12 0.00001 0.00000 13 -0.00001 0.00000 14 0.00000 0.00000 15 0.00000 0.00000 16 -0.00000 0.00000 17 -0.00000 -0.00001 18 0.00000 -0.00000 19 -0.00000 0.00000 20 0.00000 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = -1.1382e-04 Tm Int Int Bx dz dz = -2.0236e-04 Tm^2 Int By dz = -4.7161e-05 Tm Int Int By dz dz = -1.6477e-04 Tm^2 Trajectory Exit Information: X at exit = -1.1672e-06 m X slope at exit = 4.5337e-07 Y at exit = 4.5388e-06 m Y slope at exit = 2.5434e-06 Calculated Undulator Parameters: Keff = 2.551044 Beff = 0.853723 T Lambda_rad = 9.600432e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.99993e-09 Undulator Period = 0.032002 m Radiation Wavelength = 9.60043e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 31.969620 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 = 11739.056237 deg, RMS = 6.915488 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11714.429235 deg, RMS = 33.183958 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11737.359980 deg, RMS = 5.671647 deg Cell: Phase Change Of Cell = 35049.452 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23529.452 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.094251e-11 (V/m), |Ey| = 1.093939e-11 (V/m) Angle_y - Angle_x = -88.822298 (deg) Stokes Parameters: S0 = Ix + Iy = 2.394088e-22, S1 = Ix - Iy = 6.839667e-26 (V/m)^2 S2 = I45 - I135 = 4.920646e-24, S3 = Ir - Il = -2.393582e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.000286, P2 = S2 / S0 = 0.020553 P3 = S3 / S0 = -0.999789 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 12.914 7.522e+18 1.111e+19 67.68 2 25.829 1.500e+16 --- --- 3 38.743 4.107e+15 7.662e+16 5.36 4 51.658 4.583e+14 --- --- 5 64.572 2.707e+14 8.751e+16 0.31 6 77.487 1.852e+14 --- --- 7 90.401 1.150e+14 1.507e+17 0.08 8 103.316 8.135e+13 --- --- 9 116.230 4.539e+13 2.301e+17 0.02 10 129.144 2.453e+13 --- --- 11 142.059 1.978e+13 3.211e+17 0.01 12 154.973 1.595e+13 --- --- 13 167.888 1.190e+13 4.175e+17 0.00 14 180.802 8.447e+12 --- --- 15 193.717 5.531e+12 5.137e+17 0.00