SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:26:44 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:04:18 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\LP24F\KR0707\ Input file name = hall2_anal_probe1_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 = 198 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.582541 T, RMS = 0.012392 T Peak Field Spacing: Ave = 0.016003 m, RMS = 0.000155 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000082 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 = 0.615146 T, RMS = 0.011432 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000193 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000085 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 -0.00013 1 -0.01308 -0.58972 2 0.00011 0.00016 3 0.00105 0.00179 4 0.00003 -0.00002 5 0.00175 0.00975 6 -0.00002 -0.00005 7 -0.00006 0.00013 8 -0.00002 0.00003 9 -0.00007 -0.00029 10 0.00000 -0.00003 11 -0.00003 -0.00002 12 0.00000 0.00003 13 0.00003 -0.00001 14 -0.00001 -0.00003 15 -0.00002 0.00001 16 0.00001 0.00002 17 0.00002 -0.00001 18 -0.00001 -0.00002 19 -0.00002 0.00002 20 0.00002 0.00002 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 -0.00009 1 0.00126 0.62456 2 0.00008 -0.00016 3 0.00006 -0.00155 4 0.00002 -0.00003 5 -0.00121 -0.01195 6 -0.00002 0.00002 7 -0.00001 -0.00012 8 0.00003 -0.00002 9 0.00005 0.00039 10 -0.00002 0.00002 11 0.00003 0.00003 12 0.00001 -0.00003 13 -0.00003 -0.00001 14 -0.00000 0.00002 15 0.00003 -0.00000 16 -0.00000 -0.00003 17 -0.00003 0.00001 18 0.00001 0.00003 19 0.00002 -0.00001 20 -0.00002 -0.00002 Hall Probe Overall Field Integrals: Int Bx dz = -1.4101e-04 Tm Int Int Bx dz dz = -3.0407e-04 Tm^2 Int By dz = -5.7766e-05 Tm Int Int By dz dz = -1.6908e-04 Tm^2 Trajectory Exit Information: X at exit = -3.7192e-06 m X slope at exit = -1.2707e-06 Y at exit = 6.6885e-06 m Y slope at exit = 3.1018e-06 Calculated Undulator Parameters: Keff = 2.573741 Beff = 0.861272 T Lambda_rad = 9.699782e-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 = 2.985e-05 T^2m^3 PI Of Cell = 2.984e-05 T^2m^3 Effective Length: Leff = 3.108589 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.03081e-09 Undulator Period = 0.032004 m Radiation Wavelength = 9.69978e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 10.949015 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 = -2164.903174 deg, RMS = 4.490048 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2191.703716 deg, RMS = 12.458777 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -2162.649972 deg, RMS = 5.909020 deg Cell: Phase Change Of Cell = 36335.388 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4344.612 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.032959e-11 (V/m), |Ey| = 9.633874e-12 (V/m) Angle_y - Angle_x = 2.184099 (deg) Stokes Parameters: S0 = Ix + Iy = 1.995119e-22, S1 = Ix - Iy = 1.388887e-23 (V/m)^2 S2 = I45 - I135 = 1.988833e-22, S3 = Ir - Il = 7.585052e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.069614, P2 = S2 / S0 = 0.996849 P3 = S3 / S0 = 0.038018 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 12.782 6.269e+18 6.770e+18 92.59 2 25.564 2.330e+16 --- --- 3 38.347 7.055e+18 1.112e+19 63.46 4 51.129 4.524e+16 --- --- 5 63.911 3.557e+18 1.219e+19 29.17 6 76.693 6.232e+16 --- --- 7 89.475 8.396e+17 1.173e+19 7.15 8 102.257 7.526e+16 --- --- 9 115.040 4.243e+16 9.957e+18 0.43 10 127.822 1.401e+17 --- --- 11 140.604 2.517e+16 8.439e+18 0.30 12 153.386 2.407e+17 --- --- 13 166.168 6.392e+16 6.331e+18 1.01 14 178.950 2.614e+17 --- --- 15 191.733 7.526e+16 5.493e+18 1.37