SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:38:08 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:18 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\KR0800\ 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 = 0.671236 T, RMS = 0.007469 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000194 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000071 m Average Undulator Period = 0.032003 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.671258 T, RMS = 0.009514 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000178 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000074 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 -0.00004 1 0.68611 -0.02296 2 -0.00017 -0.00035 3 -0.00271 0.00010 4 -0.00007 -0.00012 5 -0.01313 0.00266 6 -0.00006 -0.00002 7 -0.00002 0.00004 8 -0.00006 -0.00002 9 0.00023 -0.00014 10 -0.00005 -0.00000 11 -0.00005 -0.00002 12 -0.00006 -0.00002 13 -0.00006 -0.00001 14 -0.00006 -0.00002 15 -0.00006 -0.00002 16 -0.00006 -0.00002 17 -0.00005 -0.00003 18 -0.00005 -0.00003 19 -0.00005 -0.00002 20 -0.00005 -0.00002 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 0.00002 1 0.00031 0.68470 2 -0.00084 0.00092 3 -0.00031 0.00059 4 -0.00002 0.00001 5 0.00017 -0.01361 6 0.00003 -0.00004 7 -0.00004 -0.00006 8 0.00001 -0.00001 9 -0.00008 0.00031 10 0.00001 -0.00001 11 0.00000 -0.00000 12 0.00000 -0.00001 13 -0.00000 -0.00000 14 -0.00000 -0.00000 15 -0.00000 -0.00000 16 -0.00000 0.00000 17 0.00000 -0.00000 18 -0.00000 -0.00000 19 0.00000 -0.00001 20 0.00000 -0.00001 Hall Probe Overall Field Integrals: Int Bx dz = -9.2960e-05 Tm Int Int Bx dz dz = -1.6788e-04 Tm^2 Int By dz = 3.1047e-05 Tm Int Int By dz dz = -3.0830e-05 Tm^2 Trajectory Exit Information: X at exit = 1.6707e-06 m X slope at exit = 2.1070e-06 Y at exit = 3.7800e-06 m Y slope at exit = 2.0861e-06 Calculated Undulator Parameters: Keff = 2.898844 Beff = 0.970108 T Lambda_rad = 1.173944e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.66829e-09 Undulator Period = 0.032003 m Radiation Wavelength = 1.17394e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 29.878279 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 = 11713.368483 deg, RMS = 5.182719 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11682.235225 deg, RMS = 31.261814 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11709.770319 deg, RMS = 3.813461 deg Cell: Phase Change Of Cell = 34976.263 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23456.263 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.046555e-11 (V/m), |Ey| = 1.043527e-11 (V/m) Angle_y - Angle_x = -88.499211 (deg) Stokes Parameters: S0 = Ix + Iy = 2.184225e-22, S1 = Ix - Iy = 6.329665e-25 (V/m)^2 S2 = I45 - I135 = 5.720618e-24, S3 = Ir - Il = -2.183466e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.002898, P2 = S2 / S0 = 0.026191 P3 = S3 / S0 = -0.999653 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 10.561 6.863e+18 9.580e+18 71.64 2 21.123 1.391e+16 --- --- 3 31.684 1.961e+15 7.381e+16 2.66 4 42.245 6.832e+13 --- --- 5 52.807 1.964e+14 6.062e+16 0.32 6 63.368 2.855e+14 --- --- 7 73.929 1.999e+14 1.039e+17 0.19 8 84.491 8.917e+13 --- --- 9 95.052 2.221e+13 1.595e+17 0.01 10 105.613 1.241e+13 --- --- 11 116.175 3.707e+13 2.247e+17 0.02 12 126.736 2.422e+13 --- --- 13 137.297 1.435e+13 2.956e+17 0.00 14 147.859 1.009e+13 --- --- 15 158.420 4.812e+12 3.690e+17 0.00