SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:18:00 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:29 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\LPVMF\KR0000\ 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 = 195 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.439458 T, RMS = 0.012246 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000130 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000106 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 = 0.456781 T, RMS = 0.014333 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000136 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000109 m Average Undulator Period = 0.032000 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 0.01322 -0.43198 2 -0.00049 -0.00049 3 0.00149 -0.00017 4 0.00001 0.00008 5 0.00151 -0.00678 6 -0.00007 -0.00006 7 0.00011 0.00005 8 0.00002 0.00001 9 0.00007 -0.00014 10 -0.00003 -0.00001 11 0.00003 -0.00002 12 0.00003 0.00001 13 -0.00001 0.00003 14 -0.00003 -0.00001 15 0.00002 -0.00003 16 0.00003 0.00002 17 -0.00002 0.00003 18 -0.00003 -0.00002 19 0.00002 -0.00003 20 0.00003 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 0.00004 1 -0.00065 0.44752 2 0.00069 0.00027 3 -0.00155 -0.00039 4 -0.00003 0.00002 5 -0.00010 0.00773 6 0.00009 0.00005 7 -0.00014 -0.00007 8 -0.00004 -0.00001 9 0.00001 0.00018 10 0.00004 0.00001 11 -0.00003 0.00002 12 -0.00004 -0.00002 13 0.00001 -0.00004 14 0.00003 0.00002 15 -0.00002 0.00003 16 -0.00003 -0.00002 17 0.00002 -0.00004 18 0.00003 0.00002 19 -0.00002 0.00003 20 -0.00003 -0.00003 Hall Probe Overall Field Integrals: Int Bx dz = 1.7034e-04 Tm Int Int Bx dz dz = 2.4435e-04 Tm^2 Int By dz = 1.0729e-04 Tm Int Int By dz dz = 8.8694e-05 Tm^2 Trajectory Exit Information: X at exit = 3.2128e-06 m X slope at exit = 3.1285e-06 Y at exit = -6.5944e-06 m Y slope at exit = -4.5025e-06 Calculated Undulator Parameters: Keff = 1.862246 Beff = 0.623208 T Lambda_rad = 6.170227e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.92805e-09 Undulator Period = 0.032002 m Radiation Wavelength = 6.17023e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 25.453748 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 = 11760.728354 deg, RMS = 5.339521 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11735.516153 deg, RMS = 26.562184 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11783.665110 deg, RMS = 4.658183 deg Cell: Phase Change Of Cell = 35115.781 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23595.781 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.097917e-11 (V/m), |Ey| = 1.072381e-11 (V/m) Angle_y - Angle_x = -2.068632 (deg) Stokes Parameters: S0 = Ix + Iy = 2.355423e-22, S1 = Ix - Iy = 5.541934e-24 (V/m)^2 S2 = I45 - I135 = 2.353236e-22, S3 = Ir - Il = -8.499920e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.023528, P2 = S2 / S0 = 0.999072 P3 = S3 / S0 = -0.036087 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 20.094 7.401e+18 9.618e+18 76.95 2 40.188 3.349e+16 --- --- 3 60.282 2.113e+18 1.256e+19 16.83 4 80.376 3.845e+16 --- --- 5 100.470 1.947e+16 1.093e+19 0.18 6 120.564 7.108e+16 --- --- 7 140.658 1.384e+18 7.503e+18 18.45 8 160.752 1.308e+17 --- --- 9 180.846 7.128e+17 5.471e+18 13.03 10 200.940 1.175e+17 --- --- 11 221.033 1.142e+17 3.063e+18 3.73 12 241.127 1.016e+16 --- --- 13 261.221 1.152e+16 2.534e+18 0.45 14 281.315 2.790e+15 --- --- 15 301.409 3.661e+16 1.272e+18 2.88