SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:27:07 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:04:37 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\KR0636\ 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 = 0.543748 T, RMS = 0.011473 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000099 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000081 m Average Undulator Period = 0.032005 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.571371 T, RMS = 0.011544 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000111 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000084 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 -0.00005 1 -0.00531 -0.53530 2 -0.00033 -0.00016 3 0.00100 0.00137 4 -0.00004 0.00007 5 -0.00107 -0.00671 6 0.00005 -0.00001 7 -0.00001 -0.00004 8 -0.00003 0.00003 9 0.00014 0.00021 10 0.00004 -0.00003 11 -0.00003 -0.00005 12 -0.00003 0.00003 13 0.00003 0.00003 14 0.00003 -0.00002 15 -0.00003 -0.00004 16 -0.00003 0.00003 17 0.00003 0.00003 18 0.00003 -0.00004 19 -0.00004 -0.00003 20 -0.00003 0.00004 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 0.00148 0.56435 2 0.00055 0.00016 3 -0.00005 -0.00099 4 0.00008 -0.00014 5 -0.00110 0.00547 6 -0.00009 -0.00001 7 -0.00003 0.00002 8 0.00004 -0.00002 9 -0.00009 -0.00015 10 -0.00005 0.00001 11 0.00002 0.00007 12 0.00005 -0.00002 13 -0.00003 -0.00004 14 -0.00004 0.00003 15 0.00003 0.00004 16 0.00004 -0.00003 17 -0.00003 -0.00004 18 -0.00004 0.00003 19 0.00003 0.00004 20 0.00003 -0.00004 Hall Probe Overall Field Integrals: Int Bx dz = 9.9079e-05 Tm Int Int Bx dz dz = 1.2417e-04 Tm^2 Int By dz = 1.5911e-05 Tm Int Int By dz dz = 1.2842e-05 Tm^2 Trajectory Exit Information: X at exit = 2.8249e-07 m X slope at exit = 3.4998e-07 Y at exit = -2.7312e-06 m Y slope at exit = -2.1794e-06 Calculated Undulator Parameters: Keff = 2.327970 Beff = 0.779037 T Lambda_rad = 8.344730e-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 = 2.446e-05 T^2m^3 PI Of Cell = 2.446e-05 T^2m^3 Effective Length: Leff = 3.107987 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.60744e-09 Undulator Period = 0.032004 m Radiation Wavelength = 8.34473e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 8.394192 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 = -2036.663548 deg, RMS = 4.464654 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2052.320751 deg, RMS = 9.734724 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -2030.226570 deg, RMS = 4.849814 deg Cell: Phase Change Of Cell = 36615.367 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4064.633 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.106695e-11 (V/m), |Ey| = 1.043656e-11 (V/m) Angle_y - Angle_x = 0.908738 (deg) Stokes Parameters: S0 = Ix + Iy = 2.313990e-22, S1 = Ix - Iy = 1.355551e-23 (V/m)^2 S2 = I45 - I135 = 2.309726e-22, S3 = Ir - Il = 3.663642e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.058581, P2 = S2 / S0 = 0.998157 P3 = S3 / S0 = 0.015833 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 14.858 7.271e+18 7.739e+18 93.95 2 29.716 2.687e+16 --- --- 3 44.573 9.068e+18 1.232e+19 73.59 4 59.431 7.392e+16 --- --- 5 74.289 5.994e+18 1.297e+19 46.21 6 89.147 9.177e+16 --- --- 7 104.005 2.611e+18 1.180e+19 22.13 8 118.862 7.942e+16 --- --- 9 133.720 6.859e+17 1.010e+19 6.79 10 148.578 4.985e+16 --- --- 11 163.436 1.089e+17 7.944e+18 1.37 12 178.293 2.777e+16 --- --- 13 193.151 8.579e+16 6.383e+18 1.34 14 208.009 1.704e+16 --- --- 15 222.867 1.266e+17 4.535e+18 2.79