SLAC Magnetic Measurements Date: 03-24-2015 Time: 15:05:08 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:01:23 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\LP13N\KR0565\ 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 = 0.487156 T, RMS = 0.009856 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000094 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000093 m Average Undulator Period = 0.032006 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.449128 T, RMS = 0.009598 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000107 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000093 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 0.00003 1 0.47982 -0.00354 2 -0.00026 -0.00033 3 -0.00074 -0.00002 4 -0.00002 -0.00002 5 0.00682 0.00503 6 -0.00001 -0.00005 7 -0.00008 0.00001 8 -0.00003 -0.00000 9 0.00027 0.00012 10 -0.00004 0.00000 11 -0.00003 -0.00001 12 -0.00003 -0.00000 13 -0.00004 0.00000 14 -0.00003 -0.00000 15 -0.00003 0.00000 16 -0.00003 -0.00000 17 -0.00003 0.00000 18 -0.00003 -0.00000 19 -0.00003 0.00000 20 -0.00003 0.00000 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 0.43436 0.06389 2 0.00003 -0.00076 3 -0.00055 0.00019 4 -0.00011 -0.00002 5 0.00847 0.00507 6 -0.00003 -0.00001 7 -0.00003 -0.00001 8 -0.00003 0.00001 9 -0.00000 0.00020 10 -0.00003 0.00000 11 -0.00003 0.00001 12 -0.00003 0.00000 13 -0.00003 0.00001 14 -0.00003 0.00000 15 -0.00003 -0.00000 16 -0.00003 0.00000 17 -0.00003 0.00001 18 -0.00003 -0.00000 19 -0.00003 0.00000 20 -0.00003 0.00001 Hall Probe Overall Field Integrals: Int Bx dz = 2.4598e-04 Tm Int Int Bx dz dz = 3.4092e-04 Tm^2 Int By dz = -1.3872e-05 Tm Int Int By dz dz = -1.8382e-04 Tm^2 Trajectory Exit Information: X at exit = -4.0435e-06 m X slope at exit = -3.0514e-07 Y at exit = -7.4989e-06 m Y slope at exit = -5.4107e-06 Calculated Undulator Parameters: Keff = 1.950848 Beff = 0.652823 T Lambda_rad = 6.529984e-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 = 1.722e-05 T^2m^3 PI Of Cell = 1.724e-05 T^2m^3 Effective Length: Leff = 3.063983 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.04035e-09 Undulator Period = 0.032004 m Radiation Wavelength = 6.52998e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 14.888411 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 = -1803.546125 deg, RMS = 4.834498 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -1817.175790 deg, RMS = 15.634914 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1721.469759 deg, RMS = 5.327173 deg Cell: Phase Change Of Cell = 37138.341 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3541.659 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.117193e-11 (V/m), |Ey| = 1.210112e-11 (V/m) Angle_y - Angle_x = -167.813854 (deg) Stokes Parameters: S0 = Ix + Iy = 2.712492e-22, S1 = Ix - Iy = -2.162521e-23 (V/m)^2 S2 = I45 - I135 = -2.642931e-22, S3 = Ir - Il = -5.707531e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.079725, P2 = S2 / S0 = -0.974356 P3 = S3 / S0 = -0.210417 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 18.987 8.523e+18 9.268e+18 91.96 2 37.974 5.699e+16 --- --- 3 56.961 6.288e+18 1.232e+19 51.06 4 75.948 2.663e+17 --- --- 5 94.935 1.392e+18 1.002e+19 13.89 6 113.921 4.780e+17 --- --- 7 132.908 1.508e+17 6.881e+18 2.19 8 151.895 3.454e+17 --- --- 9 170.882 1.741e+17 4.354e+18 4.00 10 189.869 9.592e+16 --- --- 11 208.856 9.419e+16 2.743e+18 3.43 12 227.843 1.259e+16 --- --- 13 246.830 1.944e+16 1.832e+18 1.06 14 265.817 2.257e+16 --- --- 15 284.804 1.383e+16 1.364e+18 1.01