SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:22:29 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:00:37 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\LP13N\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 = 0.602886 T, RMS = 0.010664 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000167 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000081 m Average Undulator Period = 0.032004 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.559964 T, RMS = 0.009775 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000184 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000091 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 0.00006 1 0.00075 0.61158 2 -0.00004 -0.00011 3 -0.00114 -0.00130 4 0.00006 -0.00007 5 -0.00076 -0.01090 6 -0.00003 0.00002 7 0.00008 -0.00010 8 0.00005 -0.00002 9 0.00002 0.00032 10 -0.00003 0.00002 11 0.00002 0.00006 12 0.00003 -0.00002 13 -0.00003 -0.00004 14 -0.00002 0.00002 15 0.00003 0.00003 16 0.00003 -0.00003 17 -0.00003 -0.00003 18 -0.00003 0.00003 19 0.00003 0.00003 20 0.00002 -0.00003 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 -0.00002 1 0.02909 0.56552 2 -0.00019 0.00023 3 -0.00013 -0.00172 4 0.00005 -0.00005 5 -0.00200 -0.00855 6 -0.00004 0.00002 7 0.00005 -0.00009 8 0.00005 -0.00002 9 0.00008 0.00020 10 -0.00004 0.00002 11 0.00002 0.00005 12 0.00003 -0.00003 13 -0.00002 -0.00003 14 -0.00003 0.00003 15 0.00002 0.00002 16 0.00003 -0.00003 17 -0.00003 -0.00002 18 -0.00002 0.00003 19 0.00003 0.00002 20 0.00002 -0.00003 Hall Probe Overall Field Integrals: Int Bx dz = 1.4165e-04 Tm Int Int Bx dz dz = 1.0739e-04 Tm^2 Int By dz = 6.4809e-05 Tm Int Int By dz dz = -1.1075e-04 Tm^2 Trajectory Exit Information: X at exit = -2.4360e-06 m X slope at exit = 1.4256e-06 Y at exit = -2.3621e-06 m Y slope at exit = -3.1159e-06 Calculated Undulator Parameters: Keff = 2.496206 Beff = 0.835344 T Lambda_rad = 9.257451e-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 = 2.806e-05 T^2m^3 Effective Length: Leff = 3.036304 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.89266e-09 Undulator Period = 0.032003 m Radiation Wavelength = 9.25745e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 21.681404 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 = -2310.589670 deg, RMS = 4.201188 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2348.880730 deg, RMS = 22.050206 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1941.684903 deg, RMS = 2.388899 deg Cell: Phase Change Of Cell = 36395.808 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4284.192 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.403272e-12 (V/m), |Ey| = 9.959345e-12 (V/m) Angle_y - Angle_x = 176.150362 (deg) Stokes Parameters: S0 = Ix + Iy = 1.876101e-22, S1 = Ix - Iy = -1.076703e-23 (V/m)^2 S2 = I45 - I135 = -1.868782e-22, S3 = Ir - Il = 1.257506e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.057390, P2 = S2 / S0 = -0.996099 P3 = S3 / S0 = 0.067028 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 13.393 5.895e+18 7.040e+18 83.73 2 26.786 2.231e+16 --- --- 3 40.179 2.557e+18 1.126e+19 22.70 4 53.572 1.839e+17 --- --- 5 66.965 2.244e+16 1.156e+19 0.19 6 80.357 1.982e+17 --- --- 7 93.750 1.247e+17 1.052e+19 1.19 8 107.143 3.016e+16 --- --- 9 120.536 7.692e+16 7.869e+18 0.98 10 133.929 7.396e+16 --- --- 11 147.322 6.029e+16 6.391e+18 0.94 12 160.715 5.429e+16 --- --- 13 174.108 6.661e+16 4.117e+18 1.62 14 187.501 2.933e+17 --- --- 15 200.894 4.300e+16 3.715e+18 1.16