SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:40:39 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:34 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\KR0200\ 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 = 0.188290 T, RMS = 0.008432 T Peak Field Spacing: Ave = 0.015999 m, RMS = 0.000158 m Zero Field Spacing: Ave = 0.015998 m, RMS = 0.000193 m Average Undulator Period = 0.031996 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.204973 T, RMS = 0.013337 T Peak Field Spacing: Ave = 0.015998 m, RMS = 0.000174 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000212 m Average Undulator Period = 0.032001 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 0.17591 0.00775 2 0.00010 -0.00014 3 -0.00070 -0.00076 4 -0.00003 0.00010 5 0.01190 0.00360 6 0.00002 -0.00002 7 -0.00019 -0.00014 8 0.00000 -0.00000 9 0.00037 0.00019 10 0.00000 -0.00001 11 -0.00000 -0.00001 12 -0.00000 -0.00001 13 0.00001 0.00000 14 0.00000 -0.00001 15 0.00000 -0.00000 16 0.00000 -0.00000 17 -0.00000 -0.00000 18 0.00000 -0.00001 19 0.00000 -0.00000 20 0.00000 -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 -0.00005 1 0.00535 0.19011 2 -0.00056 0.00007 3 -0.00001 -0.00259 4 0.00003 -0.00002 5 -0.00458 0.01112 6 -0.00008 0.00001 7 -0.00003 -0.00001 8 0.00000 -0.00001 9 -0.00030 0.00020 10 -0.00000 -0.00001 11 0.00000 -0.00000 12 -0.00000 -0.00001 13 -0.00001 -0.00001 14 -0.00000 0.00001 15 0.00000 -0.00001 16 0.00001 -0.00000 17 0.00001 0.00000 18 0.00000 -0.00000 19 -0.00000 0.00000 20 0.00000 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 1.9506e-04 Tm Int Int Bx dz dz = 4.1265e-04 Tm^2 Int By dz = -7.5111e-05 Tm Int Int By dz dz = -1.9015e-04 Tm^2 Trajectory Exit Information: X at exit = -3.2123e-06 m X slope at exit = -1.0580e-06 Y at exit = -8.9583e-06 m Y slope at exit = -4.2266e-06 Calculated Undulator Parameters: Keff = 0.783158 Beff = 0.262120 T Lambda_rad = 2.948602e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 9.21484e-10 Undulator Period = 0.031998 m Radiation Wavelength = 2.94860e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 34.217941 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 = 11970.798820 deg, RMS = 9.325866 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11960.713400 deg, RMS = 35.317025 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11987.890776 deg, RMS = 8.473352 deg Cell: Phase Change Of Cell = 35566.929 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 24046.929 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.067538e-11 (V/m), |Ey| = 9.912013e-12 (V/m) Angle_y - Angle_x = -92.744597 (deg) Stokes Parameters: S0 = Ix + Iy = 2.122117e-22, S1 = Ix - Iy = 1.571566e-23 (V/m)^2 S2 = I45 - I135 = -1.013363e-23, S3 = Ir - Il = -2.113862e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.074057, P2 = S2 / S0 = -0.047752 P3 = S3 / S0 = -0.996110 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 42.048 6.668e+18 1.071e+19 62.28 2 84.097 2.823e+16 --- --- 3 126.145 1.234e+15 1.104e+17 1.12 4 168.194 3.781e+13 --- --- 5 210.242 1.333e+15 1.612e+17 0.83 6 252.291 3.219e+13 --- --- 7 294.339 1.098e+13 2.402e+17 0.00 8 336.388 5.308e+12 --- --- 9 378.436 5.009e+12 3.588e+17 0.00 10 420.485 5.089e+12 --- --- 11 462.533 5.257e+12 4.884e+17 0.00 12 504.582 3.919e+12 --- --- 13 546.630 3.228e+12 6.178e+17 0.00 14 588.679 4.622e+12 --- --- 15 630.727 4.779e+12 7.381e+17 0.00