1962
DOI: 10.1016/s0065-2539(08)61165-8
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Aberration in Magnetic Focus Systems

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1964
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Cited by 10 publications
(8 citation statements)
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“…This is a very slow method when applied to the large number of electrons required. However, an approximate analytical solution has been derived by Beurle and Wreathall (1962) for magnetically focused tubes. This is only valid provided the electrons spend a small proportion of a cyclotron period in the region of interest, around the position of best focus.…”
Section: Simulation Of Electron Trajectoriesmentioning
confidence: 99%
See 1 more Smart Citation
“…This is a very slow method when applied to the large number of electrons required. However, an approximate analytical solution has been derived by Beurle and Wreathall (1962) for magnetically focused tubes. This is only valid provided the electrons spend a small proportion of a cyclotron period in the region of interest, around the position of best focus.…”
Section: Simulation Of Electron Trajectoriesmentioning
confidence: 99%
“…The problem is to obtain the details of the density distribution in the image for successive planes through best focus. The original work was done by Beurle and Wreathall (1962) in terms of root-mean-square spot size. More recently Picat (1971) has completed an extensive study of this problem with the emphasis on very high magnetic fields, such as would be obtained from a superconducting magnet.…”
Section: Introductionmentioning
confidence: 99%
“…The RMS (root mean square) chromatic disc radius was shown in Paper I to be smaller by a factor yL1 than the classical figure derived for a maxwellian initial energy distribution by Beurle and Wreathall (1962). More generally, the shape of the point-spread function calculated for any given energy distribution is unaltered except for a scale change by a factor yL1 compared with non-relativistic calculations.…”
Section: 2 Chromatic Aberrationmentioning
confidence: 76%
“…In I an approximate formula due to Beurle and Wreathall (1962) was used to give the position of a particular electron in the image for some plane. Because the image is no longer circular, the formula must be modified to give x and y , the displacements of the electron from the centre of the image in the radial and transverse directions.…”
Section: The Simulation Of Electron Trajectoriesmentioning
confidence: 99%