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Magnetic deflectors - Aberrations
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The dipole field of saddle coil is used to calculate aberrations

Graphical plot of deflected trajectory

Graphical plot of the 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
 Aberrations calculation results
 Fields used for tracing
 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

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
 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