SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:13:48 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:53:59 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\LPVMF\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 = 79 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.029787 T, RMS = 0.006243 T Peak Field Spacing: Ave = 0.026097 m, RMS = 0.031631 m Zero Field Spacing: Ave = 0.026277 m, RMS = 0.032393 m Average Undulator Period = 0.000000 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 1.180289 T, RMS = 0.006819 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000074 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000045 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 -0.00003 1 -0.00204 0.00179 2 -0.00018 0.00021 3 -0.00026 0.00016 4 0.00001 -0.00011 5 0.00037 0.00063 6 0.00001 0.00002 7 -0.00000 -0.00001 8 -0.00000 -0.00002 9 -0.00001 -0.00003 10 -0.00001 0.00001 11 -0.00001 0.00000 12 0.00001 -0.00001 13 0.00000 -0.00001 14 -0.00001 0.00001 15 -0.00001 0.00000 16 0.00000 -0.00000 17 0.00001 -0.00000 18 0.00001 0.00000 19 -0.00001 0.00001 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 -0.00001 1 0.00153 1.19658 2 -0.00003 -0.00013 3 -0.00122 -0.00230 4 -0.00006 -0.00000 5 -0.00062 -0.01979 6 0.00008 0.00002 7 0.00007 -0.00007 8 -0.00005 0.00000 9 0.00003 0.00053 10 0.00006 -0.00001 11 -0.00001 0.00007 12 -0.00005 0.00000 13 -0.00001 -0.00007 14 0.00006 -0.00000 15 -0.00000 0.00005 16 -0.00006 0.00001 17 -0.00001 -0.00006 18 0.00005 -0.00000 19 0.00000 0.00006 20 -0.00005 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 1.1872e-05 Tm Int Int Bx dz dz = 8.4087e-05 Tm^2 Int By dz = 4.3177e-05 Tm Int Int By dz dz = -2.3465e-04 Tm^2 Trajectory Exit Information: X at exit = -5.1712e-06 m X slope at exit = 9.5113e-07 Y at exit = -1.7240e-06 m Y slope at exit = -1.8307e-07 Calculated Undulator Parameters: Keff = 3.581042 Beff = 1.198389 T Lambda_rad = 1.672802e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 5.22701e-09 Undulator Period = 0.032003 m Radiation Wavelength = 1.67280e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 18.560247 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 = 11673.184210 deg, RMS = 5.170447 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11632.931364 deg, RMS = 19.294587 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11681.385705 deg, RMS = 2.975728 deg Cell: Phase Change Of Cell = 34855.266 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23335.266 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.053970e-11 (V/m), |Ey| = 5.207564e-14 (V/m) Angle_y - Angle_x = 111.477345 (deg) Stokes Parameters: S0 = Ix + Iy = 1.110880e-22, S1 = Ix - Iy = 1.110826e-22 (V/m)^2 S2 = I45 - I135 = -4.019131e-25, S3 = Ir - Il = 1.021500e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.999951, P2 = S2 / S0 = -0.003618 P3 = S3 / S0 = 0.009195 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 7.412 3.490e+18 3.969e+18 87.93 2 14.824 3.816e+16 --- --- 3 22.235 2.272e+18 7.084e+18 32.07 4 29.647 8.493e+16 --- --- 5 37.059 1.918e+17 8.417e+18 2.28 6 44.471 1.825e+17 --- --- 7 51.882 1.503e+17 8.719e+18 1.72 8 59.294 1.410e+17 --- --- 9 66.706 1.331e+17 7.905e+18 1.68 10 74.118 3.154e+15 --- --- 11 81.529 7.475e+16 6.903e+18 1.08 12 88.941 1.653e+16 --- --- 13 96.353 1.486e+17 6.050e+18 2.46 14 103.765 8.234e+15 --- --- 15 111.177 2.865e+17 5.136e+18 5.58