ISSN:
1420-9039
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Summary Relativistic and nonrelativistic data for the coaxial two-cylinder electrostatic electron-lens are compared. Values of the potential along the axis were measured on a resistance network analogue, whilst trajectories were calculated on a high speed digital computer. IndexR indicating relativistic values, andN non-relativistic ones, quotientsF′ R/FN of the focal point coordinates (image sided),f′ R/fN of the focal length (image sided) and differences of the principal plane coordinates (H R−H N)/R (object sided) and (H′ R−H N)/R (image sided) are represented graphically as functions of the imagespace potential andU′. The gap between the cylinders was in all cases 0,8R (R radius of the cylinders).U being the potential on the object side, andU′ on the image side, ϰ=U/U′ was varied from 0,1 to 0,966 andU′ from 0 to 2,000 kV; in the relativistic case a maximal departure of about 20% from the nonrelativistic values was found for focal length. A ten-lens accelerator of 1,5 MeV overall tension has been calculated both ways.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01601608
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