SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:46:43 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 15:00:04 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\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 = 197 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.099655 T, RMS = 0.009409 T Peak Field Spacing: Ave = 0.015996 m, RMS = 0.000323 m Zero Field Spacing: Ave = 0.015993 m, RMS = 0.000432 m Average Undulator Period = 0.031987 m By Peak And Zero Field Summary: Number of Poles = 194 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.060052 T, RMS = 0.013162 T Peak Field Spacing: Ave = 0.016137 m, RMS = 0.002151 m Zero Field Spacing: Ave = 0.016156 m, RMS = 0.002282 m Average Undulator Period = 0.000000 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 -0.00002 1 0.09339 -0.00958 2 -0.00024 0.00015 3 -0.00010 -0.00017 4 -0.00008 0.00009 5 0.00390 0.00560 6 -0.00003 -0.00001 7 0.00001 -0.00009 8 -0.00000 -0.00000 9 -0.00011 0.00025 10 0.00000 0.00000 11 -0.00000 -0.00000 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 -0.00000 18 0.00000 0.00000 19 -0.00000 -0.00001 20 0.00000 0.00000 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 0.01607 -0.04987 2 0.00026 0.00018 3 -0.00032 0.00112 4 0.00002 0.00002 5 0.00459 -0.00151 6 0.00000 0.00004 7 0.00002 0.00002 8 -0.00000 0.00000 9 0.00016 0.00011 10 -0.00001 0.00000 11 0.00000 -0.00001 12 -0.00000 0.00000 13 0.00000 0.00000 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 = 5.4732e-05 Tm Int Int Bx dz dz = -1.2577e-05 Tm^2 Int By dz = 3.6551e-05 Tm Int Int By dz dz = -9.3888e-05 Tm^2 Trajectory Exit Information: X at exit = -2.5719e-06 m X slope at exit = 4.9452e-07 Y at exit = 2.6289e-07 m Y slope at exit = -1.2225e-06 Calculated Undulator Parameters: Keff = 0.339885 Beff = 0.113799 T Lambda_rad = 2.386057e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 7.45950e-10 Undulator Period = 0.031987 m Radiation Wavelength = 2.38606e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 7.911474 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 = 11637.006227 deg, RMS = 2.977385 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11609.022895 deg, RMS = 11.387482 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 12320.610950 deg, RMS = 2.213219 deg Cell: Phase Change Of Cell = 35463.051 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23943.051 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 4.390166e-12 (V/m), |Ey| = 7.801344e-12 (V/m) Angle_y - Angle_x = 111.945818 (deg) Stokes Parameters: S0 = Ix + Iy = 8.013452e-23, S1 = Ix - Iy = -4.158741e-23 (V/m)^2 S2 = I45 - I135 = -2.559988e-23, S3 = Ir - Il = 6.353483e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.518970, P2 = S2 / S0 = -0.319461 P3 = S3 / S0 = 0.792852 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 51.962 2.518e+18 2.890e+18 87.12 2 103.924 1.360e+15 --- --- 3 155.886 5.264e+15 3.100e+16 16.98 4 207.848 6.866e+12 --- --- 5 259.810 7.905e+15 3.215e+16 24.59 6 311.772 3.607e+13 --- --- 7 363.734 2.028e+13 2.011e+16 0.10 8 415.696 2.840e+11 --- --- 9 467.658 4.023e+12 2.288e+16 0.02 10 519.620 5.693e+11 --- --- 11 571.582 4.247e+11 2.615e+16 0.00 12 623.544 5.853e+11 --- --- 13 675.506 6.835e+11 2.998e+16 0.00 14 727.468 7.034e+11 --- --- 15 779.430 8.298e+11 3.411e+16 0.00