Project detail
- Three types of deflectors are shown that can be defined in EOD
- Project shows the outputs for saddle deflector, toroidal deflector and radial saddle deflector
- For saddle deflector the field depends on what multipole component is computed
- Finally 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 function
The 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
Aberrations
The dipole field of saddle coil is used to calculate aberrations
Graphical 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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