SLAC Magnetic Measurements Date: 03-24-2015 Time: 15:09:24 EPU Analysis ------------ Data File Header: SLAC Magnetic Measurements Date: 12-03-2014 Time: 12:04:56 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\LP24F\KR0565\ 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 = 198 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.489518 T, RMS = 0.010614 T Peak Field Spacing: Ave = 0.016001 m, RMS = 0.000098 m Zero Field Spacing: Ave = 0.016003 m, RMS = 0.000088 m Average Undulator Period = 0.032005 m By Peak And Zero Field Summary: Number of Poles = 196 Number of End Poles (excluded in statistics) = 4 Peak Fields: Ave = 0.517360 T, RMS = 0.010901 T Peak Field Spacing: Ave = 0.016000 m, RMS = 0.000100 m Zero Field Spacing: Ave = 0.016001 m, RMS = 0.000090 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 0.00005 1 -0.02951 -0.47605 2 -0.00044 -0.00028 3 0.00089 0.00101 4 -0.00002 0.00005 5 -0.00304 -0.01020 6 -0.00003 -0.00001 7 0.00007 0.00006 8 -0.00002 0.00004 9 -0.00017 -0.00016 10 0.00002 -0.00002 11 -0.00003 -0.00003 12 -0.00001 0.00003 13 0.00002 0.00000 14 0.00001 -0.00003 15 -0.00003 -0.00001 16 -0.00000 0.00003 17 0.00003 -0.00000 18 -0.00000 -0.00003 19 -0.00003 0.00000 20 0.00001 0.00003 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 -0.00019 1 -0.00136 0.50688 2 0.00088 0.00015 3 0.00005 -0.00049 4 0.00007 -0.00011 5 0.00133 0.00894 6 -0.00002 0.00002 7 -0.00007 -0.00008 8 0.00003 -0.00002 9 0.00003 0.00032 10 -0.00002 0.00002 11 0.00002 0.00003 12 0.00002 -0.00002 13 -0.00002 -0.00001 14 -0.00001 0.00002 15 0.00003 0.00001 16 0.00001 -0.00003 17 -0.00003 -0.00000 18 -0.00001 0.00003 19 0.00003 0.00000 20 -0.00000 -0.00003 Hall Probe Overall Field Integrals: Int Bx dz = 3.4799e-04 Tm Int Int Bx dz dz = 4.4791e-04 Tm^2 Int By dz = -3.9885e-04 Tm Int Int By dz dz = -6.8077e-04 Tm^2 Trajectory Exit Information: X at exit = -1.4974e-05 m X slope at exit = -8.7733e-06 Y at exit = -9.8525e-06 m Y slope at exit = -7.6546e-06 Calculated Undulator Parameters: Keff = 2.093486 Beff = 0.700578 T Lambda_rad = 7.178576e-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 = 1.987e-05 T^2m^3 PI Of Cell = 1.993e-05 T^2m^3 Effective Length: Leff = 3.093693 m Phase Fluctuations: Slippage vs Z At Peaks Fitted Slope = 2.24308e-09 Undulator Period = 0.032003 m Radiation Wavelength = 7.17858e-11 m Phase Error (From Slippage vs Z Fit Residuals): Ave = -0.000000 deg, RMS = 36.398663 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 = -1897.924357 deg, RMS = 5.524805 deg Center: Phase Error Of All Poles In Undulator Center: Ave = -1955.461794 deg, RMS = 37.390820 deg Exit: Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles Ave = -1818.324164 deg, RMS = 22.861676 deg Cell: Phase Change Of Cell = 36990.372 deg Nominal Phase Change Of Cell = 40680.000 deg Phase Error Of Cell = -3689.628 deg Spontaneous Radiation: (Forward direction) Single electron at fundamental: |Ex| = 9.160941e-12 (V/m), |Ey| = 8.908284e-12 (V/m) Angle_y - Angle_x = 4.581787 (deg) Stokes Parameters: S0 = Ix + Iy = 1.632804e-22, S1 = Ix - Iy = 4.565310e-24 (V/m)^2 S2 = I45 - I135 = 1.626949e-22, S3 = Ir - Il = 1.303807e-23 (V/m)^2 Polarization Rates: P1 = S1 / S0 = 0.027960, P2 = S2 / S0 = 0.996415 P3 = S3 / S0 = 0.079851 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 17.271 5.130e+18 8.335e+18 61.55 2 34.543 2.965e+17 --- --- 3 51.814 1.462e+17 8.039e+18 1.82 4 69.086 1.122e+17 --- --- 5 86.357 4.638e+16 3.479e+18 1.33 6 103.629 3.337e+17 --- --- 7 120.900 7.279e+16 3.787e+18 1.92 8 138.171 5.992e+17 --- --- 9 155.443 7.468e+15 3.151e+18 0.24 10 172.714 1.751e+17 --- --- 11 189.986 7.945e+16 3.925e+18 2.02 12 207.257 5.718e+15 --- --- 13 224.529 1.969e+16 2.357e+18 0.84 14 241.800 7.943e+15 --- --- 15 259.071 4.339e+16 2.367e+18 1.83