SLAC Magnetic Measurements Date: 10-21-2014 Time: 18:40:14 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 10-21-2014 Time: 14:58:31 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\KR0300\ 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 = 0.277798 T, RMS = 0.008147 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000121 m Zero Field Spacing: Ave = 0.015999 m, RMS = 0.000135 m Average Undulator Period = 0.031999 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.290504 T, RMS = 0.012926 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000134 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000149 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 0.00000 1 0.26383 0.00436 2 0.00009 -0.00025 3 -0.00111 -0.00071 4 -0.00002 0.00008 5 0.01459 0.00135 6 0.00000 -0.00003 7 -0.00018 -0.00010 8 -0.00001 -0.00002 9 0.00017 -0.00001 10 -0.00002 -0.00002 11 -0.00001 -0.00002 12 -0.00001 -0.00002 13 -0.00002 -0.00001 14 -0.00001 -0.00001 15 -0.00001 -0.00002 16 -0.00001 -0.00002 17 -0.00001 -0.00002 18 -0.00001 -0.00001 19 -0.00001 -0.00002 20 -0.00001 -0.00002 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 0.00491 0.27360 2 -0.00070 0.00042 3 -0.00022 -0.00312 4 0.00006 -0.00003 5 -0.00410 0.01292 6 -0.00009 0.00003 7 -0.00002 0.00006 8 -0.00001 -0.00000 9 -0.00016 0.00002 10 0.00000 -0.00000 11 -0.00001 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 = 1.0240e-04 Tm Int Int Bx dz dz = 2.2090e-04 Tm^2 Int By dz = -4.8413e-05 Tm Int Int By dz dz = -1.6783e-04 Tm^2 Trajectory Exit Information: X at exit = -2.2692e-06 m X slope at exit = -1.9742e-07 Y at exit = -4.7482e-06 m Y slope at exit = -2.1951e-06 Calculated Undulator Parameters: Keff = 1.137354 Beff = 0.380648 T Lambda_rad = 3.716304e-11 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.16134e-09 Undulator Period = 0.032000 m Radiation Wavelength = 3.71630e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 34.047394 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 = 11912.989995 deg, RMS = 10.604214 deg Center: Phase Error Of All Poles In Undulator Center: Ave = 11908.690648 deg, RMS = 35.073610 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = 11917.404410 deg, RMS = 8.877096 deg Cell: Phase Change Of Cell = 35438.189 deg Nominal Phase Change Of Cell = 11520.000 deg Phase Error Of Cell = 23918.189 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.227438e-11 (V/m), |Ey| = 1.187799e-11 (V/m) Angle_y - Angle_x = -91.017250 (deg) Stokes Parameters: S0 = Ix + Iy = 2.917469e-22, S1 = Ix - Iy = 9.573775e-24 (V/m)^2 S2 = I45 - I135 = -5.176718e-24, S3 = Ir - Il = -2.915438e-22 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.032815, P2 = S2 / S0 = -0.017744 P3 = S3 / S0 = -0.999304 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 33.362 9.167e+18 1.465e+19 62.57 2 66.724 2.178e+16 --- --- 3 100.087 6.139e+14 1.459e+17 0.42 4 133.449 4.123e+13 --- --- 5 166.811 4.362e+14 2.153e+17 0.20 6 200.173 4.230e+13 --- --- 7 233.536 6.149e+12 3.424e+17 0.00 8 266.898 1.565e+12 --- --- 9 300.260 1.095e+12 5.076e+17 0.00 10 333.622 1.034e+12 --- --- 11 366.985 8.491e+11 6.807e+17 0.00 12 400.347 9.995e+11 --- --- 13 433.709 1.519e+12 8.439e+17 0.00 14 467.071 1.645e+12 --- --- 15 500.434 9.153e+11 9.835e+17 0.00