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200keV saturated lens of a TEM
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200keV saturated lens of a TEM
Geometry
Lens saturation
Field accuracy
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The data similar to those Tsuno used in 1986 ICEM conference in Japan are used. This example is used to demonstrate the accuracy of EOD and its LENS module.
  • Data contain 80000 mesh points
  • 3 excitations of a lens (15000, 15500 and 16000 Aturns)
  • computation will take 22 s on 3 GHz PC. This is a large difference to typical computation time of 1 night for 1 lens excitation with 6000 mesh points in 1986!
The same data but with saving only the result of the last excitation are used to check the computation error with a built-in procedure in EOD. The accuracy (i.e. the error of B(z) close to its maximum) is around 0.01 %, and the computation time is just 240 s.

Geometry

The geometry of the lens is shown at the left. The 2 mm gap has 40 mesh lines in the gap, polepiece radius has 1 mm has 20 mesh lines between the axis and the polepiece. There are in total 355 mesh points in z direction, 79165 mesh points in total, the q factor is 1.025.
Lens geometry


Lens saturation

Saturation of lens


Field accuracy

The plot shows in blue the axial flux density (maximum 3.30 T) and in red the error estimate (the difference between the computations a mesh with 80000 points and with 320000 points at the mesh points of the older mesh – see papers from 2002-2004). The red curve is magnified 10000 times and the error is between +0.28 mT and –0.25 mT.
Field accuracy