Response functions of ring-to-axis, axis-to-axis, and n=1.5 cylindrical mirror analyzers with finite source and slit and central angle 30°–65°

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Abstract
Detailed shapes of theoretical response functions are presented for 36 geometries of electrostatic cylindrical mirror analyzers of electron energies. They include ring‐to‐axis, axis‐to‐axis, and an intermediate case, and they include seven angles from 30° to 65° for the central ray. The source radius, cylindrical slit width, and collector radius are all of finite extent, unlike the usual approximations, and their sizes are optimized by criteria discussed. Presented are graphs of the optimized slit width, source radius, and collector radius, as well as transmission, normalized counting rate, and the shapes of the response functions. In the calculation of response functions no assumptions are made about the independence of the various contributions to the resolution. The result for n=2, ϑ=60° compares well with an analyzer constructed at Princeton University.
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