SLAC Magnetic Measurements Date: 10-05-2014 Time: 10:40:06 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-05-2014 Time: 10:34:30 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\LPHMF\KR0700\ 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 = 0.845016 T, RMS = 0.007948 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000072 m Zero Field Spacing: Ave = 0.016000 m, RMS = 0.000055 m Average Undulator Period = 0.031999 m By Peak And Zero Field Summary: Number of Poles = 152 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.037087 T, RMS = 0.012528 T Peak Field Spacing: Ave = 0.020922 m, RMS = 0.015979 m Zero Field Spacing: Ave = 0.020969 m, RMS = 0.015678 m Average Undulator Period = 0.041938 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 -0.83296 0.00250 2 0.00068 0.00086 3 0.00218 0.00122 4 0.00004 0.00007 5 -0.01322 -0.00025 6 0.00011 0.00007 7 -0.00002 0.00011 8 0.00009 0.00000 9 -0.00032 -0.00002 10 0.00008 0.00001 11 0.00008 0.00001 12 0.00008 -0.00001 13 0.00007 -0.00001 14 0.00008 -0.00000 15 0.00008 -0.00000 16 0.00008 -0.00001 17 0.00008 -0.00001 18 0.00008 -0.00001 19 0.00008 -0.00001 20 0.00008 -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 -0.00005 1 0.00053 -0.00018 2 -0.00027 -0.00065 3 0.00037 0.00006 4 0.00004 0.00002 5 0.00007 0.00001 6 0.00001 0.00001 7 -0.00004 -0.00004 8 0.00002 0.00001 9 -0.00002 -0.00002 10 -0.00000 -0.00003 11 0.00001 -0.00001 12 0.00001 -0.00002 13 0.00000 -0.00002 14 -0.00000 0.00000 15 -0.00002 -0.00002 16 0.00000 0.00000 17 -0.00000 -0.00000 18 -0.00001 -0.00001 19 -0.00000 -0.00000 20 -0.00001 -0.00001 Hall Probe Overall Field Integrals: Int Bx dz = 4.8660e-05 Tm Int Int Bx dz dz = -4.5829e-05 Tm^2 Int By dz = -6.0560e-05 Tm Int Int By dz dz = 2.2324e-04 Tm^2 Trajectory Exit Information: X at exit = 4.7991e-06 m X slope at exit = -1.4087e-06 Y at exit = 1.0167e-06 m Y slope at exit = -1.0683e-06 Calculated Undulator Parameters: Keff = 2.494344 Beff = 0.834821 T Lambda_rad = 9.276811e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.89906e-09 Undulator Period = 0.031999 m Radiation Wavelength = 9.27681e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 25.493563 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 = 11629.609476 deg, RMS = 4.185557 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11574.566387 deg, RMS = 25.924716 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11824.572823 deg, RMS = 4.509795 deg Cell: Phase Change Of Cell = 34960.451 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23440.451 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 4.620731e-13 (V/m), |Ey| = 1.315498e-11 (V/m) Angle_y - Angle_x = -71.218880 (deg) Stokes Parameters: S0 = Ix + Iy = 1.732671e-22, S1 = Ix - Iy = -1.728401e-22 (V/m)^2 S2 = I45 - I135 = 3.914033e-24, S3 = Ir - Il = -1.150983e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.997535, P2 = S2 / S0 = 0.022590 P3 = S3 / S0 = -0.066428 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 13.365 5.444e+18 6.915e+18 78.73 2 26.730 1.228e+16 --- --- 3 40.095 1.168e+18 1.142e+19 10.22 4 53.460 1.572e+16 --- --- 5 66.825 2.960e+17 1.229e+19 2.41 6 80.190 4.452e+16 --- --- 7 93.555 1.373e+17 1.150e+19 1.19 8 106.920 1.186e+17 --- --- 9 120.285 4.078e+16 9.918e+18 0.41 10 133.650 6.217e+16 --- --- 11 147.015 9.060e+16 8.098e+18 1.12 12 160.380 1.679e+16 --- --- 13 173.745 1.041e+17 6.392e+18 1.63 14 187.110 1.177e+17 --- --- 15 200.474 7.571e+16 4.950e+18 1.53