SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:14:40 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:08 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\KR0800\ 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 = 187 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.176300 T, RMS = 0.037016 T Peak Field Spacing: Ave = 0.016602 m, RMS = 0.004973 m Zero Field Spacing: Ave = 0.016605 m, RMS = 0.004516 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 = 1.042962 T, RMS = 0.016652 T Peak Field Spacing: Ave = 0.015997 m, RMS = 0.000066 m Zero Field Spacing: Ave = 0.015996 m, RMS = 0.000054 m Average Undulator Period = 0.031992 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 -0.00028 1 0.15382 -0.07584 2 -0.00095 -0.00025 3 -0.00153 0.00129 4 0.00000 -0.00004 5 0.00778 0.00482 6 -0.00002 0.00013 7 -0.00004 -0.00000 8 -0.00001 -0.00006 9 -0.00001 0.00007 10 0.00002 0.00004 11 -0.00002 0.00002 12 -0.00003 -0.00003 13 0.00003 -0.00003 14 0.00002 0.00002 15 -0.00002 0.00003 16 -0.00002 -0.00001 17 0.00001 -0.00003 18 0.00002 0.00001 19 0.00000 0.00002 20 -0.00002 -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 -0.00003 1 -0.00739 1.03383 2 0.00006 -0.00042 3 -0.00036 -0.00030 4 -0.00000 0.00011 5 0.00449 0.00696 6 0.00005 -0.00009 7 -0.00002 0.00010 8 -0.00007 0.00008 9 0.00035 -0.00003 10 0.00005 -0.00008 11 0.00008 0.00005 12 -0.00004 0.00009 13 -0.00010 -0.00003 14 0.00002 -0.00010 15 0.00009 0.00002 16 -0.00001 0.00010 17 -0.00010 0.00001 18 -0.00001 -0.00010 19 0.00009 -0.00002 20 0.00003 0.00009 Hall Probe Overall Field Integrals: Int Bx dz = 1.0941e-04 Tm Int Int Bx dz dz = 3.4655e-05 Tm^2 Int By dz = 5.9561e-05 Tm Int Int By dz dz = -2.0694e-04 Tm^2 Trajectory Exit Information: X at exit = -3.9284e-06 m X slope at exit = 1.6592e-06 Y at exit = -9.3729e-07 m Y slope at exit = -2.5155e-06 Calculated Undulator Parameters: Keff = 3.160527 Beff = 1.058030 T Lambda_rad = 1.352426e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 4.22739e-09 Undulator Period = 0.031992 m Radiation Wavelength = 1.35243e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 64.097670 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 = 11693.933082 deg, RMS = 5.596126 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11699.428400 deg, RMS = 65.920342 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11582.208229 deg, RMS = 37.728185 deg Cell: Phase Change Of Cell = 34520.194 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23000.194 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.448277e-12 (V/m), |Ey| = 2.271851e-12 (V/m) Angle_y - Angle_x = -71.225387 (deg) Stokes Parameters: S0 = Ix + Iy = 9.443124e-23, S1 = Ix - Iy = 8.410863e-23 (V/m)^2 S2 = I45 - I135 = 1.381691e-23, S3 = Ir - Il = -4.064592e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.890686, P2 = S2 / S0 = 0.146317 P3 = S3 / S0 = -0.430429 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 9.168 2.967e+18 5.057e+18 58.67 2 18.335 5.623e+16 --- --- 3 27.503 1.093e+18 9.256e+18 11.81 4 36.670 1.063e+17 --- --- 5 45.838 1.023e+18 9.388e+18 10.90 6 55.005 1.803e+17 --- --- 7 64.173 8.381e+17 9.044e+18 9.27 8 73.340 8.358e+16 --- --- 9 82.508 3.133e+17 7.505e+18 4.17 10 91.675 6.073e+16 --- --- 11 100.843 3.630e+16 6.557e+18 0.55 12 110.010 1.447e+17 --- --- 13 119.178 8.880e+16 5.431e+18 1.63 14 128.346 1.961e+16 --- --- 15 137.513 1.477e+16 4.757e+18 0.31