SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:06:37 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_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 = 197 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.844609 T, RMS = 0.007894 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000073 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000057 m Average Undulator Period = 0.032001 m By Peak And Zero Field Summary: Number of Poles = 198 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.032771 T, RMS = 0.013748 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.003046 m Zero Field Spacing: Ave = 0.016013 m, RMS = 0.001972 m Average Undulator Period = 0.032026 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 -0.83267 0.00252 2 0.00061 0.00093 3 0.00224 0.00121 4 -0.00002 0.00006 5 -0.01311 -0.00027 6 0.00003 0.00007 7 -0.00005 0.00011 8 0.00002 0.00000 9 -0.00037 -0.00003 10 -0.00001 0.00001 11 0.00000 0.00002 12 0.00001 -0.00000 13 -0.00001 -0.00001 14 -0.00001 -0.00000 15 0.00000 0.00001 16 0.00000 0.00000 17 0.00000 -0.00001 18 -0.00000 -0.00000 19 -0.00000 0.00000 20 0.00000 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 -0.00006 1 0.01142 -0.02533 2 -0.00043 0.00017 3 -0.00020 -0.00033 4 -0.00003 0.00003 5 -0.00002 -0.00147 6 -0.00001 -0.00004 7 0.00000 0.00000 8 -0.00000 0.00002 9 0.00001 -0.00008 10 0.00000 0.00000 11 -0.00000 -0.00000 12 -0.00001 0.00000 13 0.00000 0.00001 14 0.00001 -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 -0.00001 20 -0.00001 -0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 9.7449e-05 Tm Int Int Bx dz dz = 5.2146e-05 Tm^2 Int By dz = -6.1776e-05 Tm Int Int By dz dz = 2.2265e-04 Tm^2 Trajectory Exit Information: X at exit = 4.8975e-06 m X slope at exit = -1.3588e-06 Y at exit = -1.1470e-06 m Y slope at exit = -2.1435e-06 Calculated Undulator Parameters: Keff = 2.494021 Beff = 0.834684 T Lambda_rad = 9.244395e-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 = 2.807e-05 T^2m^3 PI Of Cell = 2.808e-05 T^2m^3 Effective Length: Leff = 3.114188 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.88883e-09 Undulator Period = 0.032001 m Radiation Wavelength = 9.24440e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 25.952917 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 = -2206.077227 deg, RMS = 4.160376 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2260.937743 deg, RMS = 26.827548 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -2011.411790 deg, RMS = 4.236689 deg Cell: Phase Change Of Cell = 36450.172 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4229.828 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 4.647886e-13 (V/m), |Ey| = 1.307980e-11 (V/m) Angle_y - Angle_x = -70.267585 (deg) Stokes Parameters: S0 = Ix + Iy = 1.712971e-22, S1 = Ix - Iy = -1.708650e-22 (V/m)^2 S2 = I45 - I135 = 4.105108e-24, S3 = Ir - Il = -1.144472e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.997478, P2 = S2 / S0 = 0.023965 P3 = S3 / S0 = -0.066812 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 13.412 5.382e+18 7.081e+18 76.01 2 26.824 3.776e+15 --- --- 3 40.235 9.363e+17 1.171e+19 8.00 4 53.647 7.775e+15 --- --- 5 67.059 2.426e+17 1.263e+19 1.92 6 80.471 3.980e+16 --- --- 7 93.883 1.532e+17 1.186e+19 1.29 8 107.295 1.103e+17 --- --- 9 120.706 6.851e+16 1.028e+19 0.67 10 134.118 5.214e+16 --- --- 11 147.530 8.110e+16 8.463e+18 0.96 12 160.942 7.073e+15 --- --- 13 174.354 9.930e+16 6.757e+18 1.47 14 187.766 2.334e+16 --- --- 15 201.177 9.184e+16 5.318e+18 1.73