SLAC Magnetic Measurements Date: 03-24-2015 Time: 14:48:49 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 11:47:46 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\KR0600\ 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 = 0.713329 T, RMS = 0.008631 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000110 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000067 m Average Undulator Period = 0.031999 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.019866 T, RMS = 0.007853 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.005388 m Zero Field Spacing: Ave = 0.016023 m, RMS = 0.004779 m Average Undulator Period = 0.032046 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 -0.71312 0.00271 2 0.00064 0.00083 3 0.00255 -0.00010 4 -0.00008 -0.00000 5 -0.00199 -0.00185 6 0.00005 0.00005 7 -0.00015 0.00003 8 -0.00001 -0.00001 9 0.00019 -0.00024 10 0.00001 0.00000 11 -0.00001 -0.00000 12 -0.00001 0.00000 13 0.00001 -0.00001 14 0.00001 -0.00000 15 -0.00001 -0.00001 16 -0.00001 0.00001 17 0.00001 0.00000 18 0.00000 -0.00001 19 -0.00001 -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 -0.00007 1 0.00346 0.00362 2 -0.00058 0.00022 3 -0.00035 -0.00007 4 -0.00001 0.00007 5 -0.00173 0.00033 6 -0.00005 -0.00004 7 -0.00001 0.00000 8 -0.00000 0.00000 9 -0.00012 0.00002 10 -0.00001 -0.00000 11 -0.00001 0.00000 12 0.00001 0.00001 13 0.00000 -0.00000 14 -0.00000 -0.00000 15 0.00000 0.00001 16 0.00000 0.00000 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 = 2.2761e-04 Tm Int Int Bx dz dz = 2.8542e-04 Tm^2 Int By dz = -2.3313e-05 Tm Int Int By dz dz = -6.8511e-06 Tm^2 Trajectory Exit Information: X at exit = -1.5070e-07 m X slope at exit = -5.1280e-07 Y at exit = -6.2781e-06 m Y slope at exit = -5.0067e-06 Calculated Undulator Parameters: Keff = 2.134464 Beff = 0.714379 T Lambda_rad = 7.372528e-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 = 2.065e-05 T^2m^3 PI Of Cell = 2.065e-05 T^2m^3 Effective Length: Leff = 3.045395 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.30397e-09 Undulator Period = 0.031999 m Radiation Wavelength = 7.37253e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 33.252750 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 = -1985.331732 deg, RMS = 3.162702 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2039.063445 deg, RMS = 34.480480 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1776.191254 deg, RMS = 10.161924 deg Cell: Phase Change Of Cell = 36941.980 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3738.020 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 2.504940e-13 (V/m), |Ey| = 1.322935e-11 (V/m) Angle_y - Angle_x = 41.395957 (deg) Stokes Parameters: S0 = Ix + Iy = 1.750784e-22, S1 = Ix - Iy = -1.749529e-22 (V/m)^2 S2 = I45 - I135 = 4.971853e-24, S3 = Ir - Il = 4.382655e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.999283, P2 = S2 / S0 = 0.028398 P3 = S3 / S0 = 0.025033 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 16.817 5.501e+18 8.318e+18 66.14 2 33.634 4.321e+16 --- --- 3 50.451 3.995e+17 1.172e+19 3.41 4 67.268 2.131e+16 --- --- 5 84.085 6.721e+17 1.015e+19 6.62 6 100.902 7.229e+16 --- --- 7 117.719 1.991e+15 7.093e+18 0.03 8 134.536 7.499e+16 --- --- 9 151.354 1.483e+17 4.574e+18 3.24 10 168.171 5.533e+16 --- --- 11 184.988 3.801e+16 3.187e+18 1.19 12 201.805 1.791e+16 --- --- 13 218.622 1.160e+16 2.363e+18 0.49 14 235.439 7.919e+16 --- --- 15 252.256 3.780e+16 1.938e+18 1.95