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Page 4 of 4
Focusing lens
Finally, there is an example of focusing, which shows output focus procedure. Electron with energy 1 eV is focused from z=-5 mm to 60 mm. Also aberrations are computed.
Trace file: C:\EOD\Examples\elens\1shot.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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Fields used for tracing
Fields:
1 .\dem2-dense.EODinp
Electrostatic - field
Field is symmetrical
Interpolation Cubic spline
Field zmin (original) -60.000000000 mm
Field zmax (original) 60.0000000000 mm
Field magnitude 1.00000000000
Field z shift 0.00000000000 mm
Field rotation 0.00000000000 deg
# of points 284
Field maximum 0.03668 V/mm
Maximum z [mm] 7.06250
Field width [mm] 11.94513
2 .\dem2-dense.EODinp
Electrostatic - field
Field is symmetrical
Interpolation Cubic spline
Field zmin (original) -60.000000000 mm
Field zmax (original) 60.0000000000 mm
Field magnitude 1.00000000000
Field z shift 0.00000000000 mm
Field rotation 0.00000000000 deg
# of points 284
Field maximum 0.03668 V/mm
Maximum z [mm] 7.06250
Field width [mm] 11.94513
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Focus for: zobj= -5.0000 to zimg= 60.0000 mm
Searching for focus ...
Field magnitude search in interval -1.0000E+00, -5.0000E-01
Magnit. = -9.000000E-01, zimg = -7.091314E+02 mm, image # 0
Magnit. = -9.500000E-01, zimg = 3.101982E+01 mm, image # 1
Magnit. = -9.250000E-01, zimg = 7.630854E+01 mm, image # 1
Magnit. = -9.375000E-01, zimg = 4.566401E+01 mm, image # 1
Magnit. = -9.273290E-01, zimg = 6.826634E+01 mm, image # 1
Magnit. = -9.300710E-01, zimg = 6.053949E+01 mm, image # 1
Magnit. = -9.302891E-01, zimg = 5.999019E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000000E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000000E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000001E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000001E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000001E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000000E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000000E+01 mm, image # 1
Magnit. = -9.302851E-01, zimg = 6.000000E+01 mm, image # 1
Focus found for field magnitude -9.30285131E-01
Computation with asymptotic object
V* = 1.00000000E+00 V
U = 1.00000000E+00 eV
image # = 1 (asymptotic)
z object = -5.0000000 mm
z image = 60.0000 mm
rotation = 0.0000000 rad
0.0000000 deg
dir. magnif. = -6.216739
ang. magnif. = -0.1608560
V* object = 1.00000000E+00 V
V* image = 1.00000000E+00 V
1-M*Ma*sqrt(p(zi)/p(zo)) = -5.29420952E-12
fproj = 9.0820777 mm
zproj = 3.5390932 mm
Aberration coefficients related to object
axial spherical aber.: 9.0529E+01 mm
iso,aniso coma length: 8.9721E+00, 0.0000E+00
field curvature: 1.1784E+00 1/mm
iso,aniso astigmatism: 2.5496E-01, 0.0000E+00 1/mm
iso,aniso distortion: 4.6112E-02, 0.0000E+00 1/mm^2
axial chromatic: 1.2484E+02 mm
iso,aniso chromatic: 6.6222E+00, 0.0000E+00
Aberration coefficients for aperture
Aperture position at z= 0.0000000E+00 mm
|ra| = 1.1462E+01, |rb| = 1.0872E+00
axial spherical aber.: 9.0529E+01 mm
iso,aniso coma length: -8.2012E+00, 0.0000E+00
field curvature: 1.1053E+00 1/mm
iso,aniso astigmatism: 2.1840E-01, 0.0000E+00 1/mm
iso,aniso distortion: -1.4315E-02, 0.0000E+00 1/mm^2
axial chromatic: 1.2484E+02 mm
iso,aniso chromatic: -5.2188E+00, 0.0000E+00
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