SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:30:48 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:56:59 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 Repeat\LPHMF\KR0500\ Input file name = hall2_anal_meas_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 = -0.000025 T Correction, By additive constant = 0.000032 T Correction Bxy additive file = none Correction Bxy additive file type = CORR_ZBXY Electron gamma = 26627.100000 Electron energy = 13.606423 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 = 3.126000 m Nominal phase change through cell = 201.061930 rad Nominal phase of pole after end poles = -193.207948 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 = 0.723495 T, RMS = 0.009151 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000095 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000068 m Average Undulator Period = 0.032001 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.599638 T, RMS = 0.011614 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000154 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000083 m Average Undulator Period = 0.032004 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 -0.00008 1 -0.71741 -0.00422 2 0.00055 -0.00056 3 0.00005 0.00003 4 0.00023 -0.00003 5 -0.00479 0.00563 6 0.00003 -0.00004 7 0.00012 -0.00001 8 0.00009 -0.00002 9 -0.00007 -0.00039 10 0.00009 -0.00001 11 0.00010 0.00001 12 0.00009 -0.00001 13 0.00008 -0.00001 14 0.00009 -0.00002 15 0.00009 -0.00001 16 0.00010 -0.00001 17 0.00009 -0.00001 18 0.00009 -0.00001 19 0.00009 -0.00001 20 0.00009 -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 0.33352 0.50067 2 0.00054 0.00024 3 0.00175 0.00111 4 -0.00006 -0.00006 5 0.00245 0.00111 6 0.00002 -0.00000 7 -0.00006 -0.00011 8 -0.00003 0.00001 9 0.00017 -0.00015 10 -0.00003 0.00000 11 -0.00004 -0.00000 12 -0.00004 0.00000 13 -0.00003 0.00000 14 -0.00004 0.00000 15 -0.00004 -0.00001 16 -0.00004 0.00000 17 -0.00004 -0.00000 18 -0.00003 0.00001 19 -0.00004 -0.00000 20 -0.00004 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = -1.6762e-05 Tm Int Int Bx dz dz = 2.8407e-05 Tm^2 Int By dz = 6.4062e-05 Tm Int Int By dz dz = 7.9414e-05 Tm^2 Trajectory Exit Information: X at exit = -1.4564e-08 m X slope at exit = 3.4658e-07 Y at exit = 1.7690e-06 m Y slope at exit = 1.8274e-06 Calculated Undulator Parameters: Keff = 2.803100 Beff = 0.938078 T Lambda_rad = 1.112326e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.47579e-09 Undulator Period = 0.032002 m Radiation Wavelength = 1.11233e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 16.350368 deg Phase Relative To Nominal Radiation Wave: Nominal Radiation Wavelength = 0.00000e+00 m, (if 0, use radiation wavelength) Cell Length = 3.126000 m Number Of End Poles = 4 Entrance: Phase Error Of First 5 Poles After The End Poles Ave = 11661.728792 deg, RMS = 4.059012 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11623.151837 deg, RMS = 16.724444 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11769.783936 deg, RMS = 5.821760 deg Cell: Phase Change Of Cell = 34916.585 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23396.585 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.047360e-11 (V/m), |Ey| = 1.171933e-11 (V/m) Angle_y - Angle_x = 67.536666 (deg) Stokes Parameters: S0 = Ix + Iy = 2.470390e-22, S1 = Ix - Iy = -2.764633e-23 (V/m)^2 S2 = I45 - I135 = 9.379871e-23, S3 = Ir - Il = 2.268606e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.111911, P2 = S2 / S0 = 0.379692 P3 = S3 / S0 = 0.918319 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 11.146 7.762e+18 8.542e+18 90.87 2 22.293 4.467e+15 --- --- 3 33.439 3.349e+18 7.455e+18 44.93 4 44.586 4.135e+16 --- --- 5 55.732 3.575e+17 3.914e+18 9.13 6 66.878 6.212e+16 --- --- 7 78.025 2.591e+16 1.812e+18 1.43 8 89.171 3.464e+16 --- --- 9 100.318 1.901e+16 9.325e+17 2.04 10 111.464 4.998e+15 --- --- 11 122.610 6.816e+15 6.159e+17 1.11 12 133.757 4.031e+13 --- --- 13 144.903 2.028e+15 5.301e+17 0.38 14 156.050 3.543e+14 --- --- 15 167.196 8.981e+14 5.396e+17 0.17