SLAC Magnetic Measurements Date: 03-24-2015 Time: 14:49:13 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 11:48:05 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\KR0500\ Input file name = hall2_anal_probe2_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 = 197 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.584834 T, RMS = 0.009091 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000173 m Zero Field Spacing: Ave = 0.015999 m, RMS = 0.000083 m Average Undulator Period = 0.031999 m By Peak And Zero Field Summary: Number of Poles = 194 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.019832 T, RMS = 0.007600 T Peak Field Spacing: Ave = 0.016172 m, RMS = 0.005889 m Zero Field Spacing: Ave = 0.016193 m, RMS = 0.005154 m Average Undulator Period = 0.032386 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 -0.00001 1 -0.59389 0.00601 2 0.00055 0.00076 3 0.00257 -0.00079 4 -0.00011 -0.00005 5 0.00821 -0.00601 6 0.00000 0.00002 7 -0.00015 -0.00006 8 -0.00001 0.00000 9 0.00044 -0.00040 10 -0.00000 -0.00001 11 -0.00002 -0.00000 12 0.00000 0.00001 13 0.00002 -0.00001 14 -0.00000 -0.00001 15 -0.00001 0.00001 16 0.00001 0.00001 17 0.00001 -0.00001 18 -0.00001 -0.00001 19 -0.00000 0.00001 20 0.00001 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 -0.00009 1 -0.00009 0.00525 2 -0.00058 0.00016 3 -0.00033 -0.00010 4 -0.00002 0.00007 5 -0.00219 0.00057 6 -0.00005 -0.00003 7 -0.00003 -0.00001 8 0.00000 0.00001 9 -0.00006 -0.00000 10 -0.00000 -0.00001 11 -0.00000 0.00000 12 0.00001 -0.00000 13 -0.00000 -0.00001 14 -0.00000 -0.00000 15 0.00000 0.00001 16 0.00001 -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 = 2.0595e-04 Tm Int Int Bx dz dz = 2.1586e-04 Tm^2 Int By dz = -1.0309e-04 Tm Int Int By dz dz = -1.1600e-04 Tm^2 Trajectory Exit Information: X at exit = -2.5515e-06 m X slope at exit = -2.2676e-06 Y at exit = -4.7481e-06 m Y slope at exit = -4.5301e-06 Calculated Undulator Parameters: Keff = 1.777827 Beff = 0.595030 T Lambda_rad = 5.803341e-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 = 1.439e-05 T^2m^3 PI Of Cell = 1.440e-05 T^2m^3 Effective Length: Leff = 3.044297 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 1.81363e-09 Undulator Period = 0.031999 m Radiation Wavelength = 5.80334e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = 0.000000 deg, RMS = 33.697416 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 = -1697.617668 deg, RMS = 3.029625 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -1747.878387 deg, RMS = 35.002899 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1479.957769 deg, RMS = 11.219620 deg Cell: Phase Change Of Cell = 37539.764 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3140.236 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 3.699357e-13 (V/m), |Ey| = 1.432050e-11 (V/m) Angle_y - Angle_x = 38.482689 (deg) Stokes Parameters: S0 = Ix + Iy = 2.052134e-22, S1 = Ix - Iy = -2.049397e-22 (V/m)^2 S2 = I45 - I135 = 8.293980e-24, S3 = Ir - Il = 6.593239e-24 (V/m)^2 Polarization Rates: P1 = S1 / S0 = -0.998666, P2 = S2 / S0 = 0.040416 P3 = S3 / S0 = 0.032129 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 21.364 6.448e+18 9.950e+18 64.80 2 42.729 3.377e+16 --- --- 3 64.093 5.803e+17 1.197e+19 4.85 4 85.457 1.229e+16 --- --- 5 106.821 7.261e+17 8.940e+18 8.12 6 128.186 4.685e+16 --- --- 7 149.550 7.758e+15 5.389e+18 0.14 8 170.914 6.171e+16 --- --- 9 192.279 1.412e+17 3.025e+18 4.67 10 213.643 1.642e+16 --- --- 11 235.007 1.029e+16 1.842e+18 0.56 12 256.371 4.066e+15 --- --- 13 277.736 8.170e+15 1.211e+18 0.67 14 299.100 5.930e+15 --- --- 15 320.464 1.260e+16 8.787e+17 1.43