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- W2004241350 abstract "In order to increase the power density in the spot of an electron beam by optimum designing of electrodes and lenses in the electron-optical system for electron-beam machining, a digital computer program was written. Parts of the various numerical techniques in this program, carried out on a CDC CYBER 70 Computer, are described: (1) The potential distribution was calculated with the help of the ’’extrapolated-line Liebmann method,’’ which, compared with the usual SOR method, shortened the calculation time down to a fifth and proved to be more accurate. (2) In order to examine the influence of insulators a method was developed which, with the aid of the polarization charge on the dielectric surface, was used to calculate the resulting potential distribution. (3) To calculate the electron trajectories in an electric field, a semianalytical method was devised, which, compared to the usual method (evaluating the terms in the Lorentz equation with the aid of Taylor series) produces a higher level of accuracy. (4) The calculation of the beam current density, based on the varying distances of the electron trajectories along the beam, was extended to nonlaminar beams, which made it possible to evaluate the radial current density distribution even in a spot of some micrometers diameter. Tested simple cases showed that errors are below 1%." @default.
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- W2004241350 date "1975-11-01" @default.
- W2004241350 modified "2023-09-25" @default.
- W2004241350 title "Progress in computer simulation of electron guns for machining" @default.
- W2004241350 doi "https://doi.org/10.1116/1.568501" @default.
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