SLAC Magnetic Measurements Date: 03-24-2015 Time: 12:31:47 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:08:28 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\LP24N\KR0565\ Input file name = hall2_anal_probe1_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 = -0.000005 T Correction, By additive constant = -0.000013 T Correction Bxy additive file = none Correction Bxy additive file type = CORR_ZBXY Electron gamma = 26671.590000 Electron energy = 13.629158 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 = 3.656000 m Nominal phase change through cell = 709.999940 rad Nominal phase of pole after end poles = 61.261057 rad Number of poles for entrance and exit phase error statistics = 5 Bx Peak And Zero Field Summary: Number of Poles = 198 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.480399 T, RMS = 0.011756 T Peak Field Spacing: Ave = 0.016002 m, RMS = 0.000095 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000088 m Average Undulator Period = 0.032006 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.514136 T, RMS = 0.010411 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000110 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000086 m Average Undulator Period = 0.032002 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 -0.00015 1 -0.01129 -0.46925 2 0.00069 0.00036 3 0.00025 -0.00022 4 -0.00004 -0.00004 5 -0.00434 -0.01000 6 0.00004 -0.00001 7 -0.00002 -0.00004 8 -0.00001 0.00003 9 -0.00008 -0.00016 10 0.00001 -0.00003 11 -0.00001 -0.00001 12 -0.00001 0.00002 13 0.00002 -0.00000 14 0.00000 -0.00003 15 -0.00002 0.00000 16 0.00000 0.00002 17 0.00002 -0.00001 18 -0.00001 -0.00002 19 -0.00002 0.00001 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 -0.00007 1 -0.00301 0.50445 2 -0.00060 -0.00029 3 0.00076 0.00062 4 0.00006 -0.00002 5 0.00227 0.00942 6 -0.00009 -0.00001 7 -0.00003 0.00007 8 0.00003 -0.00002 9 0.00015 0.00024 10 -0.00002 0.00002 11 0.00002 0.00001 12 0.00001 -0.00002 13 -0.00003 -0.00001 14 -0.00001 0.00003 15 0.00003 0.00001 16 0.00001 -0.00003 17 -0.00003 -0.00000 18 -0.00000 0.00003 19 0.00002 -0.00000 20 -0.00001 -0.00002 Hall Probe Overall Field Integrals: Int Bx dz = -1.1641e-04 Tm Int Int Bx dz dz = -4.0333e-04 Tm^2 Int By dz = 1.0403e-05 Tm Int Int By dz dz = -1.1209e-04 Tm^2 Trajectory Exit Information: X at exit = -2.4655e-06 m X slope at exit = 2.2883e-07 Y at exit = 8.8718e-06 m Y slope at exit = 2.5606e-06 Calculated Undulator Parameters: Keff = 2.068240 Beff = 0.692109 T Lambda_rad = 7.060615e-11 m Phase Integral: PI = Int_(z_enter)^(z_exit) {[Int_(-inf)^(z) Bx(z*) dz*]^2 + [Int_(-inf)^(z) By(z*) dz*]^2} dz (T^2m^3) PI = 1.930e-05 T^2m^3 PI Of Cell = 1.930e-05 T^2m^3 Effective Length: Leff = 3.099883 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.20616e-09 Undulator Period = 0.032004 m Radiation Wavelength = 7.06062e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 14.194023 deg Phase Relative To Nominal Radiation Wave: Nominal Radiation Wavelength = 0.00000e+00 m, (if 0, use radiation wavelength) Cell Length = 3.656000 m Number Of End Poles = 4 Entrance: Phase Error Of First 5 Poles After The End Poles Ave = -1859.138064 deg, RMS = 4.450726 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -1883.694833 deg, RMS = 14.424885 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1861.956944 deg, RMS = 8.720361 deg Cell: Phase Change Of Cell = 36912.185 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3767.815 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 1.178713e-11 (V/m), |Ey| = 1.081384e-11 (V/m) Angle_y - Angle_x = 2.658347 (deg) Stokes Parameters: S0 = Ix + Iy = 2.558755e-22, S1 = Ix - Iy = 2.199742e-23 (V/m)^2 S2 = I45 - I135 = 2.546539e-22, S3 = Ir - Il = 1.182364e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.085969, P2 = S2 / S0 = 0.995226 P3 = S3 / S0 = 0.046209 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 17.560 8.040e+18 8.807e+18 91.29 2 35.120 9.255e+16 --- --- 3 52.680 6.840e+18 1.278e+19 53.53 4 70.240 1.568e+17 --- --- 5 87.800 1.933e+18 1.112e+19 17.38 6 105.360 6.638e+16 --- --- 7 122.920 3.688e+17 8.902e+18 4.14 8 140.480 3.635e+15 --- --- 9 158.040 5.511e+17 5.641e+18 9.77 10 175.600 3.834e+16 --- --- 11 193.160 5.665e+17 4.501e+18 12.58 12 210.720 7.770e+16 --- --- 13 228.280 3.164e+17 2.555e+18 12.38 14 245.840 8.722e+16 --- --- 15 263.400 1.063e+17 2.577e+18 4.12