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 Project detail
    Three types of deflectors are shown that can be defined in EODProject shows the outputs for saddle deflector, toroidal deflector and radial saddle deflectorFor saddle deflector the field depends on what multipole component is computedFinally the output potential can be shown as scalar potential (zero on axis) and “reduced” potential whose value on axis gives the axial multipole function 
 Axial field functionThe computation of the 1st,3rd, 5th and 7th harmonic component of the deflector with 54 degrees half angle – normalized (by dividing with field maximum).
 
 The equipotentials of scalar and reduced potential
 
 
 
    Scalar magnetic potential 
    Reduced magnetic potential 
 AberrationsThe dipole field of saddle coil is used to calculate aberrationsGraphical plot of deflected trajectory
Aberration coefficients
Trace file: C:\Examples\defl\aberrations.EODtrc
Integration method Runge-Kutta Fehlberg 4-5 order
Max. step size  =   0.10000000     mm
Axial fields interpolation: cubic spline
Relativistic correction: off
Particle electron, charge -1e
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 Aberrations calculation results
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 Fields used for tracing
 Fields:
 1 .\dem1-20-1357.EODinp
   Magnetic deflector - field
      main deflector
      Field is symmetrical
     Interpolation Cubic spline
     Field zmin (original) -100.00000000 mm
     Field zmax (original) 100.000000000 mm
     Field magnitude       1.00000000000
     Field z shift         0.00000000000 mm
     Field rotation        0.00000000000 deg
        # of points          90
        Field maximum        0.00007 T/mm^0
        Maximum z [mm]       0.00000
        Field width [mm]    21.02499
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Particle properties:
Object position zo=        -1.0000000E+02 mm
Energy=                     1.0000000E+04 eV
U=                          1.0000000E+04 eV
Delta Energy=               1.0000000E+00 eV
Aber. for aperture=         5.0000000E-03 rad
Aber. for obj. height=      1.0000000E-03 mm
Deflection X=               1.0000000E+00 mm
           Y=               1.0000000E+00 mm
Image #                           0 (asymptotic), image #  1 not found!
Image position zi=         -1.0000000E+02 mm
Beam rotation=              0.0000000E+00 rad
                            0.0000000E+00 deg
Image magnification=        1.0000000E+00 times
Aberration coefficients related to image
-------------- Main deflection -----------------
Deflection x=               0.0000000E+00 mm
           y=              -3.8856614E-01 mm
       total=               3.8856614E-01 mm
Angle=                      3.1415927E+00 rad
Angle=                      1.8000000E+02 deg
Slope x'=                   3.8856614E-03
      y'=                   0.0000000E+00 mm
Main deflection aberration coefficients
Aberration coefficient                                   | Error in micrometers
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 coma length:             5.0000E-01,  0.0000E+00        |   1.8750E-02,  6.2500E-03 um
 field curvature:         1.6476E-02              1/mm   |   1.6476E-01              um
 astigmatism:            -1.5796E-02,  0.0000E+00 1/mm   |   0.0000E+00, -1.5796E-01 um
 distortion:              3.9075E-05,  0.0000E+00 1/mm^2 |   7.8149E-02,  7.8149E-02 um
 chromatic:              -5.0000E-01,  0.0000E+00        |  -5.0000E-02, -5.0000E-02 um
 landing error:          -1.0000E-02,  0.0000E+00 rad/mm |  -5.7296E-01, -5.7296E-01 deg
 ----- Total aberration (geom. and. chrom)                   2.6401E-01 um
Mixed aberration coefficients for finite object
 kappa   F=   0.0000E+00,  0.0000E+00   A=  -5.0000E-03,  0.0000E+00 1/mm
 dist.   D1=  0.0000E+00,  0.0000E+00   D2=  0.0000E+00,  0.0000E+00 1/mm^2
         D3=  2.4022E-04,  0.0000E+00   D4= -1.0761E-04,  0.0000E+00 1/mm^2
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