SLAC Magnetic Measurements Date: 03-24-2015 Time: 14:48:26 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 11:47:27 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\KR0700\ Input file name = hall2_anal_probe2_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 = -0.000005 T Correction, By additive constant = -0.000013 T Correction Bxy additive file = none Correction Bxy additive file type = CORR_ZBXY Electron gamma = 26671.590000 Electron energy = 13.629158 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 = 3.656000 m Nominal phase change through cell = 709.999940 rad Nominal phase of pole after end poles = 61.261057 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 = 0.845221 T, RMS = 0.008183 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000074 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000056 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 = 0.022165 T, RMS = 0.008722 T Peak Field Spacing: Ave = 0.015994 m, RMS = 0.004303 m Zero Field Spacing: Ave = 0.016016 m, RMS = 0.004312 m Average Undulator Period = 0.032031 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 -0.83299 0.00037 2 0.00071 0.00081 3 0.00220 0.00076 4 -0.00002 0.00006 5 -0.01320 0.00123 6 0.00006 0.00007 7 -0.00003 0.00018 8 0.00000 -0.00001 9 -0.00037 0.00003 10 0.00000 0.00000 11 -0.00000 0.00002 12 0.00001 0.00000 13 -0.00000 -0.00001 14 -0.00000 -0.00001 15 -0.00000 0.00000 16 -0.00000 0.00001 17 0.00001 -0.00000 18 0.00000 -0.00001 19 -0.00000 0.00000 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 -0.00004 1 0.01035 0.00498 2 -0.00046 0.00027 3 -0.00022 0.00002 4 0.00001 0.00005 5 -0.00036 0.00034 6 -0.00004 -0.00001 7 0.00001 -0.00000 8 -0.00000 0.00001 9 -0.00004 0.00003 10 0.00001 0.00000 11 -0.00001 0.00000 12 -0.00001 0.00000 13 -0.00000 0.00001 14 0.00000 0.00001 15 0.00000 -0.00000 16 -0.00001 0.00000 17 -0.00001 0.00001 18 0.00000 0.00001 19 0.00000 0.00000 20 0.00000 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 2.1256e-04 Tm Int Int Bx dz dz = 2.2966e-04 Tm^2 Int By dz = 3.4721e-05 Tm Int Int By dz dz = 3.4430e-04 Tm^2 Trajectory Exit Information: X at exit = 7.5734e-06 m X slope at exit = 7.6373e-07 Y at exit = -5.0516e-06 m Y slope at exit = -4.6756e-06 Calculated Undulator Parameters: Keff = 2.494726 Beff = 0.834934 T Lambda_rad = 9.248201e-11 m Phase Integral: PI = Int_(z_enter)^(z_exit) {[Int_(-inf)^(z) Bx(z*) dz*]^2 + [Int_(-inf)^(z) By(z*) dz*]^2} dz (T^2m^3) PI = 2.811e-05 T^2m^3 PI Of Cell = 2.810e-05 T^2m^3 Effective Length: Leff = 3.046496 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.89006e-09 Undulator Period = 0.032000 m Radiation Wavelength = 9.24820e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 28.875133 deg Phase Relative To Nominal Radiation Wave: Nominal Radiation Wavelength = 0.00000e+00 m, (if 0, use radiation wavelength) Cell Length = 3.656000 m Number Of End Poles = 4 Entrance: Phase Error Of First 5 Poles After The End Poles Ave = -2202.893861 deg, RMS = 3.455791 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2258.024874 deg, RMS = 29.755824 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -2001.603935 deg, RMS = 7.797453 deg Cell: Phase Change Of Cell = 36478.185 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4201.815 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 2.850977e-13 (V/m), |Ey| = 1.268118e-11 (V/m) Angle_y - Angle_x = 49.465394 (deg) Stokes Parameters: S0 = Ix + Iy = 1.608937e-22, S1 = Ix - Iy = -1.607311e-22 (V/m)^2 S2 = I45 - I135 = 4.699319e-24, S3 = Ir - Il = 5.495471e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.998990, P2 = S2 / S0 = 0.029208 P3 = S3 / S0 = 0.034156 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 13.406 5.055e+18 6.893e+18 73.34 2 26.813 3.098e+16 --- --- 3 40.219 5.831e+17 1.110e+19 5.25 4 53.625 1.829e+16 --- --- 5 67.032 8.260e+17 1.135e+19 7.28 6 80.438 7.414e+15 --- --- 7 93.844 1.009e+17 9.830e+18 1.03 8 107.250 8.580e+16 --- --- 9 120.657 1.371e+15 7.637e+18 0.02 10 134.063 6.960e+16 --- --- 11 147.469 1.624e+16 5.719e+18 0.28 12 160.876 3.030e+16 --- --- 13 174.282 2.272e+16 4.384e+18 0.52 14 187.688 2.140e+17 --- --- 15 201.095 3.599e+16 3.528e+18 1.02