SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:27:54 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:05:16 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\KR0495\ 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 = 0.425117 T, RMS = 0.009983 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000125 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000102 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 = 0.448377 T, RMS = 0.010512 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000125 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000109 m Average Undulator Period = 0.032001 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 -0.00000 1 0.00330 -0.41677 2 -0.00043 -0.00036 3 0.00052 0.00077 4 -0.00000 -0.00000 5 -0.00139 -0.00688 6 -0.00003 -0.00006 7 -0.00002 0.00017 8 -0.00003 0.00001 9 0.00002 -0.00011 10 0.00002 -0.00002 11 -0.00001 -0.00003 12 -0.00002 0.00001 13 0.00001 0.00001 14 0.00002 -0.00001 15 -0.00001 -0.00002 16 -0.00002 0.00001 17 0.00002 0.00002 18 0.00002 -0.00001 19 -0.00001 -0.00002 20 -0.00002 0.00001 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 -0.00005 1 -0.00078 0.44178 2 0.00073 0.00038 3 0.00017 -0.00022 4 0.00008 -0.00004 5 0.00080 0.00542 6 -0.00000 0.00004 7 0.00000 -0.00017 8 0.00003 0.00000 9 0.00003 0.00022 10 -0.00003 0.00000 11 0.00000 0.00004 12 0.00003 -0.00000 13 -0.00000 -0.00002 14 -0.00003 0.00000 15 0.00000 0.00003 16 0.00002 -0.00001 17 -0.00000 -0.00003 18 -0.00003 0.00001 19 0.00000 0.00003 20 0.00003 -0.00001 Hall Probe Overall Field Integrals: Int Bx dz = 1.8353e-04 Tm Int Int Bx dz dz = 1.9494e-04 Tm^2 Int By dz = 2.2059e-05 Tm Int Int By dz dz = 7.3593e-05 Tm^2 Trajectory Exit Information: X at exit = 1.6188e-06 m X slope at exit = 4.8522e-07 Y at exit = -4.2879e-06 m Y slope at exit = -4.0371e-06 Calculated Undulator Parameters: Keff = 1.817782 Beff = 0.608315 T Lambda_rad = 5.965758e-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 = 1.499e-05 T^2m^3 PI Of Cell = 1.497e-05 T^2m^3 Effective Length: Leff = 3.120883 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.86412e-09 Undulator Period = 0.032003 m Radiation Wavelength = 5.96576e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 14.494483 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 = -1666.866931 deg, RMS = 4.698237 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -1679.631310 deg, RMS = 15.662219 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1646.140377 deg, RMS = 5.337939 deg Cell: Phase Change Of Cell = 37396.308 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3283.692 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.212998e-11 (V/m), |Ey| = 1.158046e-11 (V/m) Angle_y - Angle_x = -0.617354 (deg) Stokes Parameters: S0 = Ix + Iy = 2.812435e-22, S1 = Ix - Iy = 1.302956e-23 (V/m)^2 S2 = I45 - I135 = 2.809252e-22, S3 = Ir - Il = -3.027047e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.046328, P2 = S2 / S0 = 0.998868 P3 = S3 / S0 = -0.010763 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 20.783 8.837e+18 1.007e+19 87.80 2 41.565 2.845e+16 --- --- 3 62.348 6.305e+18 1.303e+19 48.37 4 83.131 3.961e+16 --- --- 5 103.913 1.592e+18 1.117e+19 14.26 6 124.696 3.222e+16 --- --- 7 145.479 1.693e+17 7.843e+18 2.16 8 166.261 4.692e+16 --- --- 9 187.044 1.771e+17 5.611e+18 3.16 10 207.826 5.834e+16 --- --- 11 228.609 3.370e+17 3.251e+18 10.37 12 249.392 4.602e+16 --- --- 13 270.174 2.343e+17 2.517e+18 9.31 14 290.957 2.054e+16 --- --- 15 311.740 9.081e+16 1.270e+18 7.15