SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:39:22 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:26 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\KR0500\ 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 = 0.442396 T, RMS = 0.007560 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000124 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000094 m Average Undulator Period = 0.032001 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.446457 T, RMS = 0.011375 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000137 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000100 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 -0.00000 1 0.43679 -0.00654 2 -0.00002 -0.00036 3 -0.00167 -0.00039 4 -0.00001 -0.00000 5 0.00701 -0.00084 6 -0.00005 0.00002 7 0.00007 -0.00002 8 -0.00004 -0.00003 9 -0.00043 0.00005 10 -0.00003 -0.00002 11 -0.00003 -0.00001 12 -0.00003 -0.00001 13 -0.00004 -0.00001 14 -0.00004 -0.00001 15 -0.00003 -0.00002 16 -0.00004 -0.00001 17 -0.00003 -0.00001 18 -0.00003 -0.00002 19 -0.00003 -0.00001 20 -0.00003 -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 0.00359 0.43792 2 -0.00090 0.00078 3 -0.00051 -0.00279 4 0.00006 -0.00006 5 -0.00296 0.00549 6 -0.00001 0.00000 7 0.00003 0.00003 8 -0.00001 -0.00000 9 0.00009 -0.00038 10 0.00001 -0.00000 11 -0.00001 0.00001 12 -0.00000 0.00001 13 0.00000 0.00001 14 0.00000 -0.00001 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 = 8.0206e-05 Tm Int Int Bx dz dz = 2.9461e-04 Tm^2 Int By dz = -3.6905e-05 Tm Int Int By dz dz = -1.8944e-04 Tm^2 Trajectory Exit Information: X at exit = -2.0223e-06 m X slope at exit = 4.9289e-07 Y at exit = -6.3996e-06 m Y slope at exit = -1.7239e-06 Calculated Undulator Parameters: Keff = 1.849260 Beff = 0.618881 T Lambda_rad = 6.115649e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.91105e-09 Undulator Period = 0.032001 m Radiation Wavelength = 6.11565e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 33.467954 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 = 11807.994332 deg, RMS = 9.647732 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11802.679522 deg, RMS = 34.528718 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11808.225716 deg, RMS = 7.641822 deg Cell: Phase Change Of Cell = 35225.958 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23705.958 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.205263e-11 (V/m), |Ey| = 1.208892e-11 (V/m) Angle_y - Angle_x = -89.908308 (deg) Stokes Parameters: S0 = Ix + Iy = 2.914078e-22, S1 = Ix - Iy = -8.763087e-25 (V/m)^2 S2 = I45 - I135 = 4.663459e-25, S3 = Ir - Il = -2.914062e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.003007, P2 = S2 / S0 = 0.001600 P3 = S3 / S0 = -0.999994 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 20.273 9.156e+18 1.432e+19 63.96 2 40.547 3.168e+16 --- --- 3 60.820 2.964e+15 1.108e+17 2.67 4 81.093 1.308e+14 --- --- 5 101.366 9.638e+13 1.658e+17 0.06 6 121.640 2.464e+13 --- --- 7 141.913 4.656e+12 2.857e+17 0.00 8 162.186 2.764e+12 --- --- 9 182.460 2.616e+12 4.294e+17 0.00 10 202.733 7.042e+11 --- --- 11 223.006 1.131e+12 5.862e+17 0.00 12 243.279 6.399e+11 --- --- 13 263.553 6.256e+11 7.421e+17 0.00 14 283.826 5.656e+11 --- --- 15 304.099 5.520e+11 8.852e+17 0.00