SLAC Magnetic Measurements
Date: 07-14-2011
Time: 18:19:19
 
EPU Analysis
------------

Data File Header:
SLAC Magnetic Measurements
Date: 07-14-2011
Time: 14:06:55
Project: LCLS
Device Type: Undulator
Data Type: 
Serial Number: A1-ANL
DATASET Number: 1
Tuning Stage: Rough Tuning
Run Number: 37
Measurement Type: Z Scans
Operator: YL
Comment: Gap =15mm; start at Z index #1
Session first run: 36
Measurement Device x: 
Measurement Device y: SENIS_463
Data File: s:\magdata\LCLS\Undulator\A1-ANL\DATASET0001\Rough Tuning\Z Scans\Run 037\bscanz.dat
Temperature (C)
Axes position (m) X:0.042678 Y:0.000124
Initial Hall Probe Zero Measurements:
Vx_0i = 0.001334 V
Vy_0i = 0.001856 V
Final Hall Probe Zero Measurements:
Vx_0f = 0.001322 V
Vy_0f = 0.001824 V
Offset Correction Voff = offset+index*increment
index = 0,1...17600
Vx:offset = 0.001334 V, increment = -7.194E-10 V
Vy:offset = 0.001856 V, increment = -1.837E-09 V
Hall Probe Calibration File:
Y: C:\CVI\current_calib\SENIS_463\SENIS_463_y.ini
X: c:\cvi\current_calib\HALLx_calib_poly_fit_file.dat
Reference Magnet Measurements:
Bx_ref = 0.0000xx (T)
By_ref = 0.0000xx (T)
Magnetic Field Measurements vs Z

Analysis Parameters:
Input file directory = S:\MagData\LCLS\Undulator\A1-ANL\DATASET0001\Rough Tuning\Z Scans\Run 037\
Input file name = x+00000_y+000_bscanz.dat
Input file type = ZVXYBXYH
Correction required = 0
Correction, Bx multiplicative factor = 1.000000 
Correction, By multiplicative factor = 1.000000 
Correction, Bx additive constant = 0.000000 T
Correction, By additive constant = 0.000016 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 = 0.033000 m
Nominal K value = 1.047000
Nominal radiation wavelength = 3.602770e-011 m
Number of undulator poles = 144
Number of end poles (used in analysis) = 4
Cell length = 4.000000 m
Nominal phase change through cell = 452.389342 rad
Nominal phase of pole after end poles = 14.137167 rad
Number of poles for entrance and exit phase error statistics = 5

Bx Peak And Zero Field Summary:
Number of Poles = 0
Number of End Poles (excluded in statistics) = 0
Peak Fields: Ave = 0.000000 T, RMS = 0.000000 T
Peak Field Spacing: Ave = 0.000000 m, RMS = 0.000000 m
Zero Field Spacing: Ave = 0.000000 m, RMS = 0.000000 m
Average Undulator Period = 0.000000 m

By Peak And Zero Field Summary:
Number of Poles = 144
Number of End Poles (excluded in statistics) = 4
Peak Fields: Ave = 0.554756 T, RMS = 0.002893 T
Peak Field Spacing: Ave = 0.016500 m, RMS = 0.000027 m
Zero Field Spacing: Ave = 0.016501 m, RMS = 0.000045 m
Average Undulator Period = 0.033002 m

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      -0.00015
   1       0.00028   0.55172
   2       0.00028   0.00007
   3      -0.00009  -0.00288
   4      -0.00017  -0.00002
   5       0.00002  -0.00026
   6       0.00017   0.00002
   7      -0.00002   0.00018
   8      -0.00017  -0.00002
   9       0.00002  -0.00017
  10       0.00016   0.00002

By End Fields:
Field integral threshold value =   3.0000e-006 Tm
Z position where entrance Int By dz at threshold =  -1.3880 m
Z position where exit Int By dz at threshold =   1.3710 m
Z position of first By field peak =  -1.1821 m
Z position of last By field peak =   1.1822 m
Magnetic length entrance =   0.2059 m
Magnetic length exit =   0.1888 m
Magnetic length between By field peaks =   2.3643 m
Magnetic length total =   2.7590 m

Hall Probe Overall Field Integrals:
Int Bx dz =  -1.0971e-004 Tm
Int Int Bx dz dz =  -5.4910e-005 Tm^2
Int By dz =  -1.1385e-004 Tm
Int Int By dz dz =   8.4291e-005 Tm^2

Trajectory Exit Information:
X at exit =   1.8572e-006 m
X slope at exit =  -2.5085e-006
Y at exit =   1.2098e-006 m
Y slope at exit =   2.4173e-006

Calculated Undulator Parameters:
Keff = 1.701971
Beff = 0.552317 T
Lambda_rad = 5.698216e-011 m

Phase Fluctuations:
Slippage vs Z At Peaks Fitted Slope =   1.72662e-009
Undulator Period = 0.033002 m
Radiation Wavelength =   5.69822e-011 m
Phase Error (From Slippage vs Z Fit Residuals):
  Ave = -0.000000 deg, RMS = 4.567876 deg

Phase Relative To Nominal Radiation Wave:
Nominal Radiation Wavelength =   3.60277e-011 m
Cell Length = 4.000000 m
Number Of End Poles = 4
Entrance:
  Phase Error Of First 5 Poles After The End Poles
  Ave = 6287.148652 deg, RMS = 169.305449 deg
Center:
  Phase Error Of All Poles In Undulator Center:
  Ave = 13149.087011 deg, RMS = 4124.849701 deg
Exit:
  Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles
  Ave = 6269.228791 deg, RMS = 168.977333 deg
Cell:
  Phase Change Of Cell =   52201.115 deg
  Nominal Phase Change Of Cell =   25920.000 deg
  Phase Error Of Cell =   26281.115 deg

Spontaneous Radiation:
(Forward direction)
Single electron at fundamental:
  |Ex| = 1.307373e-011 (V/m), |Ey| = 2.739197e-015 (V/m)
  Angle_y - Angle_x = -36.130120 (deg)
Stokes Parameters:
  S0 = Ix + Iy = 1.709224e-022, S1 = Ix - Iy = 1.709224e-022 (V/m)^2
  S2 = I45 - I135 = 5.784849e-026, S3 = Ir - Il = 4.223045e-026 (V/m)^2
Polarization Rates:
  P1 = S1 / S0 = 1.000000, P2 = S2 / S0 = 0.000338
  P3 = S3 / S0 = 0.000247
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        21.758      5.370e+018      5.587e+018         96.13
   2        43.517      4.261e+015        ---            ---
   3        65.275      5.801e+018      7.030e+018         82.52
   4        87.034      6.148e+015        ---            ---
   5       108.792      4.021e+018      5.618e+018         71.57
   6       130.551      9.577e+015        ---            ---
   7       152.309      2.413e+018      4.260e+018         56.64
   8       174.067      1.573e+016        ---            ---
   9       195.826      1.260e+018      2.648e+018         47.57
  10       217.584      1.690e+016        ---            ---
  11       239.343      5.469e+017      1.936e+018         28.24
  12       261.101      1.159e+016        ---            ---
  13       282.860      2.095e+017      1.008e+018         20.80
  14       304.618      8.976e+015        ---            ---
  15       326.376      7.488e+016      8.140e+017          9.20
