SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:17:36 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:54:27 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\KR0100\ 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 = 0.416040 T, RMS = 0.013106 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000162 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000113 m Average Undulator Period = 0.032004 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.530221 T, RMS = 0.013606 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000097 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000091 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 0.00005 1 0.08222 -0.40232 2 -0.00050 -0.00050 3 0.00155 0.00033 4 0.00001 0.00007 5 0.00490 -0.00257 6 -0.00007 -0.00006 7 -0.00001 0.00006 8 0.00003 0.00001 9 0.00009 0.00009 10 -0.00004 -0.00003 11 0.00002 -0.00002 12 0.00003 0.00002 13 -0.00003 0.00003 14 -0.00002 -0.00002 15 0.00002 -0.00002 16 0.00002 0.00003 17 -0.00003 0.00002 18 -0.00002 -0.00003 19 0.00003 -0.00002 20 0.00002 0.00003 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 0.00002 1 0.00295 0.51484 2 0.00056 0.00038 3 -0.00107 -0.00071 4 -0.00002 0.00001 5 -0.00344 0.01316 6 0.00006 0.00005 7 -0.00017 -0.00008 8 -0.00004 -0.00003 9 -0.00030 0.00033 10 0.00005 0.00003 11 -0.00004 0.00002 12 -0.00004 -0.00004 13 0.00002 -0.00004 14 0.00004 0.00004 15 -0.00004 0.00004 16 -0.00004 -0.00004 17 0.00004 -0.00003 18 0.00003 0.00004 19 -0.00004 0.00003 20 -0.00003 -0.00004 Hall Probe Overall Field Integrals: Int Bx dz = 9.4432e-05 Tm Int Int Bx dz dz = 1.0746e-04 Tm^2 Int By dz = 3.7999e-05 Tm Int Int By dz dz = -6.8934e-05 Tm^2 Trajectory Exit Information: X at exit = -1.4816e-07 m X slope at exit = 1.6687e-06 Y at exit = -3.4554e-06 m Y slope at exit = -2.7569e-06 Calculated Undulator Parameters: Keff = 1.969112 Beff = 0.658966 T Lambda_rad = 6.632299e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.07242e-09 Undulator Period = 0.032003 m Radiation Wavelength = 6.63230e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 19.504744 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 = 11760.423864 deg, RMS = 5.742481 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11745.673155 deg, RMS = 20.547894 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11776.022736 deg, RMS = 4.507615 deg Cell: Phase Change Of Cell = 35104.137 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23584.137 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.229109e-11 (V/m), |Ey| = 9.934815e-12 (V/m) Angle_y - Angle_x = -16.275244 (deg) Stokes Parameters: S0 = Ix + Iy = 2.497714e-22, S1 = Ix - Iy = 5.237032e-23 (V/m)^2 S2 = I45 - I135 = 2.344326e-22, S3 = Ir - Il = -6.844296e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.209673, P2 = S2 / S0 = 0.938589 P3 = S3 / S0 = -0.274022 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 18.694 7.848e+18 9.312e+18 84.27 2 37.388 4.032e+16 --- --- 3 56.082 4.388e+18 1.266e+19 34.65 4 74.776 8.120e+16 --- --- 5 93.470 8.297e+17 1.130e+19 7.34 6 112.164 9.815e+15 --- --- 7 130.858 9.097e+16 8.353e+18 1.09 8 149.552 8.682e+16 --- --- 9 168.246 7.022e+17 5.846e+18 12.01 10 186.940 1.444e+17 --- --- 11 205.634 5.338e+17 3.981e+18 13.41 12 224.328 1.762e+17 --- --- 13 243.022 2.066e+17 2.509e+18 8.24 14 261.716 5.480e+16 --- --- 15 280.410 2.246e+16 1.952e+18 1.15