SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:37:18 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:12 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\CPRMF\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 = 0.637600 T, RMS = 0.010019 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000095 m Zero Field Spacing: Ave = 0.016002 m, RMS = 0.000070 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 = 0.958022 T, RMS = 0.007359 T Peak Field Spacing: Ave = 0.016003 m, RMS = 0.000075 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000053 m Average Undulator Period = 0.032005 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 0.63287 0.03192 2 -0.00007 -0.00044 3 -0.00410 -0.00016 4 -0.00008 -0.00006 5 -0.00014 0.01413 6 -0.00005 -0.00007 7 -0.00001 -0.00005 8 0.00002 -0.00002 9 0.00005 0.00031 10 0.00002 -0.00001 11 0.00003 -0.00002 12 0.00000 -0.00000 13 -0.00001 0.00000 14 0.00001 -0.00000 15 0.00001 -0.00000 16 0.00001 0.00000 17 0.00001 0.00000 18 0.00001 0.00000 19 0.00001 0.00000 20 0.00001 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 -0.00006 1 0.00523 0.95519 2 0.00001 0.00056 3 -0.00094 0.00204 4 0.00000 0.00010 5 -0.00164 0.00459 6 0.00002 0.00003 7 -0.00000 0.00023 8 0.00000 -0.00001 9 -0.00051 0.00002 10 -0.00000 -0.00000 11 -0.00002 0.00001 12 -0.00000 -0.00000 13 -0.00001 -0.00000 14 0.00000 -0.00000 15 0.00000 0.00000 16 0.00000 0.00000 17 0.00000 0.00001 18 0.00000 0.00000 19 -0.00000 0.00000 20 -0.00000 0.00000 Hall Probe Overall Field Integrals: Int Bx dz = -4.6657e-04 Tm Int Int Bx dz dz = -6.6535e-04 Tm^2 Int By dz = -1.7607e-04 Tm Int Int By dz dz = -4.6801e-04 Tm^2 Trajectory Exit Information: X at exit = -9.4605e-06 m X slope at exit = -3.3653e-06 Y at exit = 1.5674e-05 m Y slope at exit = 1.0890e-05 Calculated Undulator Parameters: Keff = 3.435514 Beff = 1.149630 T Lambda_rad = 1.557654e-10 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 4.86696e-09 Undulator Period = 0.032005 m Radiation Wavelength = 1.55765e-10 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 32.107168 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 = 11682.632384 deg, RMS = 3.940261 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11631.077612 deg, RMS = 33.020515 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11731.367585 deg, RMS = 10.522719 deg Cell: Phase Change Of Cell = 34942.105 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23422.105 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.651931e-12 (V/m), |Ey| = 7.524541e-12 (V/m) Angle_y - Angle_x = -91.642478 (deg) Stokes Parameters: S0 = Ix + Iy = 1.497785e-22, S1 = Ix - Iy = 3.654106e-23 (V/m)^2 S2 = I45 - I135 = -4.163339e-24, S3 = Ir - Il = -1.451930e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.243967, P2 = S2 / S0 = -0.027797 P3 = S3 / S0 = -0.969385 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 7.960 4.706e+18 6.999e+18 67.24 2 15.919 6.854e+16 --- --- 3 23.879 3.904e+16 3.420e+18 1.14 4 31.839 3.449e+16 --- --- 5 39.798 7.955e+16 9.270e+17 8.58 6 47.758 6.082e+15 --- --- 7 55.718 3.301e+15 2.858e+17 1.16 8 63.677 2.716e+14 --- --- 9 71.637 8.614e+14 1.126e+17 0.76 10 79.597 4.902e+14 --- --- 11 87.556 1.570e+14 1.292e+17 0.12 12 95.516 4.883e+14 --- --- 13 103.476 3.147e+14 1.290e+17 0.24 14 111.435 4.049e+14 --- --- 15 119.395 7.498e+13 1.765e+17 0.04