SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:43:24 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:59:43 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\CPLMF\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 = 0.757948 T, RMS = 0.007212 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000144 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000067 m Average Undulator Period = 0.032000 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.735334 T, RMS = 0.009459 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000158 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000069 m Average Undulator Period = 0.032003 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 -0.76881 -0.00194 2 0.00017 0.00019 3 0.00357 0.00048 4 0.00005 -0.00009 5 0.00763 0.00281 6 0.00003 0.00001 7 0.00027 -0.00002 8 0.00007 0.00001 9 0.00033 -0.00001 10 0.00007 0.00001 11 0.00006 0.00000 12 0.00006 0.00000 13 0.00005 -0.00001 14 0.00005 -0.00001 15 0.00006 0.00001 16 0.00006 0.00001 17 0.00006 -0.00000 18 0.00005 -0.00000 19 0.00006 0.00000 20 0.00006 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 -0.00000 1 -0.01363 0.74660 2 0.00080 -0.00068 3 0.00056 0.00236 4 -0.00001 0.00005 5 0.00130 -0.00902 6 0.00003 -0.00001 7 -0.00003 0.00012 8 -0.00001 0.00001 9 0.00003 -0.00020 10 -0.00001 0.00001 11 -0.00001 -0.00000 12 0.00001 0.00000 13 -0.00000 0.00001 14 0.00001 -0.00000 15 -0.00000 -0.00000 16 0.00001 -0.00000 17 -0.00000 -0.00000 18 0.00001 0.00000 19 0.00000 -0.00000 20 0.00001 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 8.6297e-05 Tm Int Int Bx dz dz = 1.8400e-05 Tm^2 Int By dz = 1.3230e-04 Tm Int Int By dz dz = 7.7351e-05 Tm^2 Trajectory Exit Information: X at exit = -3.9300e-07 m X slope at exit = 1.6474e-06 Y at exit = -4.2406e-07 m Y slope at exit = -1.9118e-06 Calculated Undulator Parameters: Keff = 3.208786 Beff = 1.073873 T Lambda_rad = 1.387503e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 4.33578e-09 Undulator Period = 0.032001 m Radiation Wavelength = 1.38750e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 25.762079 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 = 11585.669104 deg, RMS = 7.304390 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11514.814912 deg, RMS = 26.531212 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11782.293639 deg, RMS = 1.139152 deg Cell: Phase Change Of Cell = 34840.940 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23320.940 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.018227e-11 (V/m), |Ey| = 1.029357e-11 (V/m) Angle_y - Angle_x = 90.872143 (deg) Stokes Parameters: S0 = Ix + Iy = 2.096361e-22, S1 = Ix - Iy = -2.278936e-24 (V/m)^2 S2 = I45 - I135 = -3.190720e-24, S3 = Ir - Il = 2.095994e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.010871, P2 = S2 / S0 = -0.015220 P3 = S3 / S0 = 0.999825 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 8.936 6.587e+18 8.395e+18 78.46 2 17.872 1.598e+15 --- --- 3 26.807 4.587e+15 5.155e+16 8.90 4 35.743 4.877e+14 --- --- 5 44.679 8.606e+13 3.907e+16 0.22 6 53.615 3.880e+14 --- --- 7 62.550 1.664e+14 6.589e+16 0.25 8 71.486 1.427e+14 --- --- 9 80.422 2.782e+13 1.014e+17 0.03 10 89.358 1.068e+14 --- --- 11 98.294 2.682e+12 1.427e+17 0.00 12 107.229 4.990e+13 --- --- 13 116.165 3.655e+12 1.883e+17 0.00 14 125.101 1.268e+13 --- --- 15 134.037 2.494e+12 2.362e+17 0.00