SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:43:00 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:59:40 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\CPLMF\KR1000\ 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 = 0.858782 T, RMS = 0.007227 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000068 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000052 m Average Undulator Period = 0.032002 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.856263 T, RMS = 0.008087 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000082 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000058 m Average Undulator Period = 0.032003 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 -0.00007 1 -0.84674 0.00084 2 0.00021 -0.00011 3 0.00424 0.00048 4 0.00005 0.00009 5 -0.01507 -0.00042 6 0.00008 -0.00002 7 0.00028 0.00011 8 0.00007 0.00001 9 -0.00048 -0.00003 10 0.00006 0.00001 11 0.00009 0.00002 12 0.00006 0.00001 13 0.00003 0.00000 14 0.00006 0.00001 15 0.00006 0.00002 16 0.00006 0.00001 17 0.00006 0.00001 18 0.00005 0.00001 19 0.00006 0.00001 20 0.00006 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 -0.00004 1 0.00468 0.84464 2 -0.00014 -0.00007 3 0.00006 0.00420 4 0.00002 0.00004 5 -0.00042 0.01488 6 -0.00001 -0.00000 7 0.00006 0.00024 8 -0.00000 -0.00000 9 -0.00002 0.00051 10 -0.00000 -0.00001 11 0.00001 0.00003 12 -0.00000 -0.00000 13 0.00000 0.00002 14 -0.00000 0.00000 15 -0.00000 0.00000 16 0.00000 0.00000 17 -0.00000 -0.00000 18 0.00000 0.00000 19 -0.00000 0.00000 20 0.00000 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = 1.9020e-04 Tm Int Int Bx dz dz = 2.3342e-04 Tm^2 Int By dz = -8.2359e-05 Tm Int Int By dz dz = -4.0840e-04 Tm^2 Trajectory Exit Information: X at exit = -9.1668e-06 m X slope at exit = -1.9126e-06 Y at exit = -5.1595e-06 m Y slope at exit = -4.2007e-06 Calculated Undulator Parameters: Keff = 3.582039 Beff = 1.198749 T Lambda_rad = 1.673571e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 5.22953e-09 Undulator Period = 0.032002 m Radiation Wavelength = 1.67357e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 20.173884 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 = 11584.207408 deg, RMS = 4.620734 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11535.661120 deg, RMS = 20.659981 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11764.063890 deg, RMS = 1.348974 deg Cell: Phase Change Of Cell = 34828.842 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23308.842 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.906323e-12 (V/m), |Ey| = 9.884182e-12 (V/m) Angle_y - Angle_x = 90.178151 (deg) Stokes Parameters: S0 = Ix + Iy = 1.958323e-22, S1 = Ix - Iy = 4.381854e-25 (V/m)^2 S2 = I45 - I135 = -6.089030e-25, S3 = Ir - Il = 1.958309e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.002238, P2 = S2 / S0 = -0.003109 P3 = S3 / S0 = 0.999993 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 7.408 6.153e+18 7.164e+18 85.89 2 14.817 8.354e+16 --- --- 3 22.225 3.481e+15 2.204e+16 15.80 4 29.633 1.868e+14 --- --- 5 37.042 3.845e+14 2.308e+16 1.67 6 44.450 3.187e+14 --- --- 7 51.859 2.244e+14 3.932e+16 0.57 8 59.267 2.901e+14 --- --- 9 66.675 2.185e+14 6.173e+16 0.35 10 74.084 1.090e+14 --- --- 11 81.492 6.650e+13 8.850e+16 0.08 12 88.900 9.458e+13 --- --- 13 96.309 4.196e+13 1.188e+17 0.04 14 103.717 7.030e+13 --- --- 15 111.125 2.867e+13 1.518e+17 0.02