SLAC Magnetic Measurements Date: 10-05-2014 Time: 10:36:38 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-05-2014 Time: 10:33:13 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\LPHMF\KR1000\ 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 = 1.219396 T, RMS = 0.008817 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000089 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000047 m Average Undulator Period = 0.032001 m By Peak And Zero Field Summary: Number of Poles = 160 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.044995 T, RMS = 0.012254 T Peak Field Spacing: Ave = 0.019842 m, RMS = 0.023701 m Zero Field Spacing: Ave = 0.019860 m, RMS = 0.023248 m Average Undulator Period = 0.039719 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 -1.21751 0.00381 2 0.00035 -0.00015 3 -0.01391 0.00345 4 0.00020 -0.00011 5 0.01433 -0.00071 6 0.00014 -0.00003 7 -0.00150 -0.00015 8 0.00014 -0.00002 9 -0.00037 0.00004 10 0.00012 -0.00001 11 0.00034 -0.00000 12 0.00012 -0.00001 13 0.00017 -0.00003 14 0.00012 -0.00001 15 0.00011 -0.00000 16 0.00012 -0.00001 17 0.00011 -0.00001 18 0.00012 -0.00001 19 0.00013 -0.00001 20 0.00012 -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 -0.00010 1 -0.00046 -0.00032 2 -0.00019 0.00087 3 -0.00042 -0.00017 4 -0.00002 0.00018 5 0.00007 0.00007 6 0.00005 0.00009 7 0.00002 -0.00005 8 -0.00001 0.00003 9 -0.00001 -0.00001 10 0.00000 -0.00001 11 0.00002 -0.00001 12 0.00000 0.00000 13 0.00000 -0.00001 14 0.00001 0.00000 15 0.00000 0.00000 16 0.00000 0.00001 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 = 2.4365e-04 Tm Int Int Bx dz dz = 2.7191e-04 Tm^2 Int By dz = -2.8435e-04 Tm Int Int By dz dz = -1.5190e-04 Tm^2 Trajectory Exit Information: X at exit = -3.6023e-06 m X slope at exit = -6.4262e-06 Y at exit = -5.9832e-06 m Y slope at exit = -5.3631e-06 Calculated Undulator Parameters: Keff = 3.644978 Beff = 1.219878 T Lambda_rad = 1.724806e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 5.38992e-09 Undulator Period = 0.032001 m Radiation Wavelength = 1.72481e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 18.864984 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 = 11582.959690 deg, RMS = 4.334076 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11540.109259 deg, RMS = 18.972612 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11756.799864 deg, RMS = 3.016236 deg Cell: Phase Change Of Cell = 34826.397 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23306.397 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 3.075894e-13 (V/m), |Ey| = 1.038925e-11 (V/m) Angle_y - Angle_x = 22.639737 (deg) Stokes Parameters: S0 = Ix + Iy = 1.080312e-22, S1 = Ix - Iy = -1.078419e-22 (V/m)^2 S2 = I45 - I135 = 5.898760e-24, S3 = Ir - Il = 2.460218e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.998248, P2 = S2 / S0 = 0.054602 P3 = S3 / S0 = 0.022773 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 7.188 3.394e+18 3.882e+18 87.44 2 14.377 4.203e+16 --- --- 3 21.565 2.346e+18 6.986e+18 33.58 4 28.753 5.141e+16 --- --- 5 35.942 2.946e+17 8.595e+18 3.43 6 43.130 1.443e+15 --- --- 7 50.318 1.627e+17 9.137e+18 1.78 8 57.506 7.327e+16 --- --- 9 64.695 2.357e+17 8.889e+18 2.65 10 71.883 2.001e+17 --- --- 11 79.071 2.994e+17 8.117e+18 3.69 12 86.260 2.568e+17 --- --- 13 93.448 2.773e+17 7.114e+18 3.90 14 100.636 8.565e+16 --- --- 15 107.825 2.343e+17 6.295e+18 3.72