SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:31:38 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:57:05 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\KR0300\ 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 = 0.637929 T, RMS = 0.010595 T Peak Field Spacing: Ave = 0.015999 m, RMS = 0.000134 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000087 m Average Undulator Period = 0.032000 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.603387 T, RMS = 0.012541 T Peak Field Spacing: Ave = 0.016004 m, RMS = 0.000174 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000086 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 -0.00010 1 -0.63972 -0.01338 2 0.00035 -0.00045 3 -0.00016 0.00076 4 0.00015 -0.00005 5 0.00594 0.01470 6 -0.00006 -0.00004 7 0.00018 -0.00019 8 0.00002 -0.00004 9 0.00021 -0.00000 10 0.00003 -0.00004 11 0.00003 -0.00004 12 0.00001 -0.00004 13 0.00002 -0.00003 14 0.00000 -0.00004 15 0.00000 -0.00004 16 0.00000 -0.00004 17 -0.00000 -0.00004 18 -0.00001 -0.00004 19 -0.00001 -0.00004 20 -0.00001 -0.00004 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 -0.00003 1 0.48607 0.37054 2 0.00031 0.00003 3 0.00113 -0.00007 4 -0.00008 -0.00003 5 0.00779 -0.00113 6 -0.00001 -0.00007 7 -0.00007 -0.00008 8 -0.00003 0.00002 9 -0.00011 -0.00007 10 -0.00003 0.00002 11 -0.00001 0.00001 12 -0.00001 0.00002 13 -0.00001 0.00002 14 -0.00002 0.00002 15 -0.00001 0.00003 16 -0.00001 0.00003 17 -0.00000 0.00002 18 -0.00000 0.00002 19 -0.00000 0.00002 20 0.00000 0.00002 Hall Probe Overall Field Integrals: Int Bx dz = -2.5723e-05 Tm Int Int Bx dz dz = -6.8585e-06 Tm^2 Int By dz = 1.1825e-04 Tm Int Int By dz dz = 2.0030e-04 Tm^2 Trajectory Exit Information: X at exit = 2.1646e-06 m X slope at exit = 1.2462e-06 Y at exit = 2.6779e-06 m Y slope at exit = 2.1046e-06 Calculated Undulator Parameters: Keff = 2.650302 Beff = 0.886942 T Lambda_rad = 1.018300e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 3.18197e-09 Undulator Period = 0.032002 m Radiation Wavelength = 1.01830e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 15.181417 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 = 11677.164028 deg, RMS = 4.563080 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11635.618790 deg, RMS = 15.420472 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11762.463119 deg, RMS = 5.895515 deg Cell: Phase Change Of Cell = 34915.137 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23395.137 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.051574e-11 (V/m), |Ey| = 1.081923e-11 (V/m) Angle_y - Angle_x = 48.843297 (deg) Stokes Parameters: S0 = Ix + Iy = 2.276365e-22, S1 = Ix - Iy = -6.474972e-24 (V/m)^2 S2 = I45 - I135 = 1.497517e-22, S3 = Ir - Il = 1.713210e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.028444, P2 = S2 / S0 = 0.657854 P3 = S3 / S0 = 0.752608 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 12.176 7.152e+18 7.763e+18 92.13 2 24.351 3.366e+16 --- --- 3 36.527 5.481e+18 1.054e+19 51.98 4 48.702 1.717e+17 --- --- 5 60.878 1.626e+18 8.702e+18 18.69 6 73.054 2.439e+17 --- --- 7 85.229 5.182e+17 5.972e+18 8.68 8 97.405 1.669e+17 --- --- 9 109.581 2.935e+17 3.808e+18 7.71 10 121.756 4.560e+16 --- --- 11 133.932 1.647e+17 2.560e+18 6.44 12 146.107 2.854e+16 --- --- 13 158.283 9.025e+16 2.043e+18 4.42 14 170.459 4.761e+16 --- --- 15 182.634 4.050e+16 1.828e+18 2.22