SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:39:47 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:29 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\KR0400\ 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 = 0.361805 T, RMS = 0.007906 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000115 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000109 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 = 0.371043 T, RMS = 0.012298 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000123 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000119 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 -0.00002 1 0.35023 -0.00071 2 0.00002 -0.00033 3 -0.00143 -0.00056 4 -0.00002 0.00007 5 0.01278 -0.00034 6 -0.00004 -0.00002 7 -0.00009 -0.00005 8 -0.00004 -0.00003 9 -0.00025 -0.00003 10 -0.00004 -0.00001 11 -0.00003 -0.00002 12 -0.00004 -0.00002 13 -0.00005 -0.00001 14 -0.00004 -0.00001 15 -0.00004 -0.00002 16 -0.00004 -0.00002 17 -0.00004 -0.00001 18 -0.00004 -0.00002 19 -0.00004 -0.00002 20 -0.00004 -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 0.00001 1 0.00429 0.35653 2 -0.00087 0.00061 3 -0.00040 -0.00317 4 0.00006 -0.00006 5 -0.00354 0.01095 6 -0.00005 0.00004 7 0.00000 0.00007 8 -0.00000 0.00001 9 -0.00002 -0.00028 10 0.00001 -0.00000 11 -0.00000 0.00001 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 0.00000 20 0.00000 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 8.7209e-05 Tm Int Int Bx dz dz = 2.8166e-04 Tm^2 Int By dz = 5.0012e-05 Tm Int Int By dz dz = 7.7614e-05 Tm^2 Trajectory Exit Information: X at exit = 3.5334e-06 m X slope at exit = 2.2099e-06 Y at exit = -6.1015e-06 m Y slope at exit = -1.8705e-06 Calculated Undulator Parameters: Keff = 1.495695 Beff = 0.500563 T Lambda_rad = 4.781064e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.49404e-09 Undulator Period = 0.032001 m Radiation Wavelength = 4.78106e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 40.903665 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 = 11851.906507 deg, RMS = 9.084404 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11831.770816 deg, RMS = 42.036315 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11852.445037 deg, RMS = 8.167333 deg Cell: Phase Change Of Cell = 35306.500 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23786.500 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.138800e-11 (V/m), |Ey| = 1.126482e-11 (V/m) Angle_y - Angle_x = -90.120758 (deg) Stokes Parameters: S0 = Ix + Iy = 2.565827e-22, S1 = Ix - Iy = 2.790304e-24 (V/m)^2 S2 = I45 - I135 = -5.407487e-25, S3 = Ir - Il = -2.565669e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.010875, P2 = S2 / S0 = -0.002108 P3 = S3 / S0 = -0.999939 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 25.932 8.062e+18 1.526e+19 52.85 2 51.865 3.352e+16 --- --- 3 77.797 1.806e+15 1.510e+17 1.20 4 103.729 9.044e+13 --- --- 5 129.662 1.197e+14 2.183e+17 0.05 6 155.594 3.570e+12 --- --- 7 181.526 3.716e+12 3.660e+17 0.00 8 207.459 1.671e+12 --- --- 9 233.391 1.455e+12 5.403e+17 0.00 10 259.324 2.064e+12 --- --- 11 285.256 2.212e+12 7.199e+17 0.00 12 311.188 2.604e+12 --- --- 13 337.121 1.894e+12 8.904e+17 0.00 14 363.053 2.599e+12 --- --- 15 388.985 1.051e+12 1.034e+18 0.00