SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:31:00 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:07:50 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\LP24N\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 = 0.582418 T, RMS = 0.012133 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000159 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 = 0.615056 T, RMS = 0.011120 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000187 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 -0.00010 1 -0.01127 -0.58958 2 0.00005 0.00017 3 0.00108 0.00181 4 0.00002 -0.00003 5 0.00158 0.00975 6 -0.00002 -0.00004 7 -0.00004 0.00015 8 -0.00002 0.00003 9 -0.00008 -0.00030 10 0.00001 -0.00003 11 -0.00002 -0.00003 12 0.00000 0.00002 13 0.00003 0.00001 14 -0.00000 -0.00002 15 -0.00002 0.00000 16 0.00000 0.00002 17 0.00003 -0.00001 18 -0.00000 -0.00002 19 -0.00002 0.00001 20 0.00001 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 -0.00007 1 0.00118 0.62449 2 0.00002 -0.00021 3 0.00005 -0.00153 4 0.00003 -0.00003 5 -0.00113 -0.01195 6 -0.00002 0.00002 7 -0.00003 -0.00013 8 0.00003 -0.00002 9 0.00006 0.00040 10 -0.00002 0.00002 11 0.00002 0.00003 12 0.00001 -0.00003 13 -0.00002 -0.00002 14 -0.00001 0.00003 15 0.00002 0.00000 16 0.00000 -0.00003 17 -0.00003 -0.00000 18 0.00000 0.00003 19 0.00002 -0.00000 20 -0.00001 -0.00003 Hall Probe Overall Field Integrals: Int Bx dz = -4.7361e-05 Tm Int Int Bx dz dz = -1.7156e-04 Tm^2 Int By dz = -5.5434e-06 Tm Int Int By dz dz = -1.1640e-04 Tm^2 Trajectory Exit Information: X at exit = -2.5603e-06 m X slope at exit = -1.2193e-07 Y at exit = 3.7736e-06 m Y slope at exit = 1.0418e-06 Calculated Undulator Parameters: Keff = 2.571898 Beff = 0.860655 T Lambda_rad = 9.689114e-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 = 2.979e-05 T^2m^3 PI Of Cell = 2.979e-05 T^2m^3 Effective Length: Leff = 3.107990 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.02747e-09 Undulator Period = 0.032004 m Radiation Wavelength = 9.68911e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 8.686171 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 = -2162.729397 deg, RMS = 4.607533 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -2181.913642 deg, RMS = 9.530540 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -2165.322726 deg, RMS = 6.065351 deg Cell: Phase Change Of Cell = 36328.320 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -4351.680 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.044901e-11 (V/m), |Ey| = 9.729755e-12 (V/m) Angle_y - Angle_x = 1.731181 (deg) Stokes Parameters: S0 = Ix + Iy = 2.038499e-22, S1 = Ix - Iy = 1.451370e-23 (V/m)^2 S2 = I45 - I135 = 2.032398e-22, S3 = Ir - Il = 6.142721e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.071198, P2 = S2 / S0 = 0.997007 P3 = S3 / S0 = 0.030134 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 12.796 6.405e+18 6.782e+18 94.44 2 25.592 9.992e+15 --- --- 3 38.389 8.520e+18 1.123e+19 75.86 4 51.185 9.353e+15 --- --- 5 63.981 6.199e+18 1.243e+19 49.86 6 76.777 1.308e+16 --- --- 7 89.574 2.924e+18 1.224e+19 23.89 8 102.370 2.603e+16 --- --- 9 115.166 8.755e+17 1.057e+19 8.28 10 127.962 4.522e+16 --- --- 11 140.759 2.857e+17 9.169e+18 3.12 12 153.555 5.509e+16 --- --- 13 166.351 3.909e+17 6.965e+18 5.61 14 179.147 4.497e+16 --- --- 15 191.944 5.158e+17 5.833e+18 8.84