SLAC Magnetic Measurements
Date: 07-14-2011
Time: 18:20:17
 
EPU Analysis
------------

Data File Header:
SLAC Magnetic Measurements
Date: 07-14-2011
Time: 14:46:08
Project: LCLS
Device Type: Undulator
Data Type: 
Serial Number: A1-ANL
DATASET Number: 1
Tuning Stage: Rough Tuning
Run Number: 38
Measurement Type: Z Scans
Operator: YL
Comment: Gap =25mm; 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 038\bscanz.dat
Temperature (C)
Axes position (m) X:0.042678 Y:0.000124
Initial Hall Probe Zero Measurements:
Vx_0i = 0.001472 V
Vy_0i = 0.002241 V
Final Hall Probe Zero Measurements:
Vx_0f = 0.001449 V
Vy_0f = 0.002226 V
Offset Correction Voff = offset+index*increment
index = 0,1...17600
Vx:offset = 0.001472 V, increment = -1.283E-09 V
Vy:offset = 0.002241 V, increment = -8.513E-10 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 038\
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 = 0.207585 T, RMS = 0.001709 T
Peak Field Spacing: Ave = 0.016500 m, RMS = 0.000029 m
Zero Field Spacing: Ave = 0.016502 m, RMS = 0.000066 m
Average Undulator Period = 0.033004 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      -0.00008
   1       0.00012   0.20745
   2       0.00008   0.00003
   3      -0.00003  -0.00009
   4      -0.00005  -0.00002
   5       0.00002  -0.00005
   6       0.00005   0.00002
   7      -0.00002   0.00005
   8      -0.00005  -0.00002
   9       0.00002  -0.00005
  10       0.00005   0.00002

By End Fields:
Field integral threshold value =   3.0000e-006 Tm
Z position where entrance Int By dz at threshold =  -1.4012 m
Z position where exit Int By dz at threshold =   1.3710 m
Z position of first By field peak =  -1.1863 m
Z position of last By field peak =   1.1865 m
Magnetic length entrance =   0.2149 m
Magnetic length exit =   0.1845 m
Magnetic length between By field peaks =   2.3728 m
Magnetic length total =   2.7722 m

Hall Probe Overall Field Integrals:
Int Bx dz =  -8.1464e-005 Tm
Int Int Bx dz dz =  -5.4531e-005 Tm^2
Int By dz =  -8.7347e-005 Tm
Int Int By dz dz =   9.8490e-006 Tm^2

Trajectory Exit Information:
X at exit =   2.1700e-007 m
X slope at exit =  -1.9245e-006
Y at exit =   1.2015e-006 m
Y slope at exit =   1.7949e-006

Calculated Undulator Parameters:
Keff = 0.645506
Beff = 0.209465 T
Lambda_rad = 2.812421e-011 m

Phase Fluctuations:
Slippage vs Z At Peaks Fitted Slope =   8.52140e-010
Undulator Period = 0.033004 m
Radiation Wavelength =   2.81242e-011 m
Phase Error (From Slippage vs Z Fit Residuals):
  Ave = -0.000000 deg, RMS = 6.216924 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 = 5501.836862 deg, RMS = 61.517114 deg
Center:
  Phase Error Of All Poles In Undulator Center:
  Ave = 2911.504967 deg, RMS = 1556.495929 deg
Exit:
  Phase Error To Cell Boundary Of Last 5 Poles Before The End Poles
  Ave = 5483.587549 deg, RMS = 61.770482 deg
Cell:
  Phase Change Of Cell =   31727.068 deg
  Nominal Phase Change Of Cell =   25920.000 deg
  Phase Error Of Cell =    5807.068 deg

Spontaneous Radiation:
(Forward direction)
Single electron at fundamental:
  |Ex| = 1.127999e-011 (V/m), |Ey| = 1.714447e-014 (V/m)
  Angle_y - Angle_x = 32.349092 (deg)
Stokes Parameters:
  S0 = Ix + Iy = 1.272384e-022, S1 = Ix - Iy = 1.272378e-022 (V/m)^2
  S2 = I45 - I135 = 3.267521e-025, S3 = Ir - Il = -2.069561e-025 (V/m)^2
Polarization Rates:
  P1 = S1 / S0 = 0.999995, P2 = S2 / S0 = 0.002568
  P3 = S3 / S0 = -0.001627
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        44.085      3.998e+018      4.266e+018         93.71
   2        88.169      3.761e+015        ---            ---
   3       132.254      4.290e+017      6.601e+017         64.99
   4       176.338      1.837e+015        ---            ---
   5       220.423      2.431e+016      2.695e+016         90.20
   6       264.507      3.709e+014        ---            ---
   7       308.592      1.022e+015      2.152e+016          4.75
   8       352.676      4.740e+013        ---            ---
   9       396.761      2.522e+013      9.052e+015          0.28
  10       440.845      5.906e+012        ---            ---
  11       484.930      1.434e+012      1.911e+016          0.01
  12       529.014      1.969e+012        ---            ---
  13       573.099      2.094e+012      2.497e+016          0.01
  14       617.183      1.361e+012        ---            ---
  15       661.268      1.675e+012      3.354e+016          0.00
